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2344441320232 = 2311677911514373
BaseRepresentation
bin100010000111011011100…
…101111001001100101000
322022010102010221212012121
4202013123211321030220
5301402403434221412
64553004345521024
7331244304263614
oct42073345711450
98263363855177
102344441320232
118242aa007810
1231a4507a3174
13140106614c6b
1481685d92344
1540eb7020107
hex221db979328

2344441320232 has 128 divisors (see below), whose sum is σ = 4934039961600. Its totient is φ = 1035324576000.

The previous prime is 2344441320229. The next prime is 2344441320257. The reversal of 2344441320232 is 2320231444432.

It is a super-2 number, since 2×23444413202322 (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 536115198 + ... + 536119570.

It is an arithmetic number, because the mean of its divisors is an integer number (38547187200).

Almost surely, 22344441320232 is an apocalyptic number.

2344441320232 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2344441320232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2467019980800).

2344441320232 is an abundant number, since it is smaller than the sum of its proper divisors (2589598641368).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2344441320232 is a wasteful number, since it uses less digits than its factorization.

2344441320232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5687 (or 5683 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 34.

Adding to 2344441320232 its reverse (2320231444432), we get a palindrome (4664672764664).

The spelling of 2344441320232 in words is "two trillion, three hundred forty-four billion, four hundred forty-one million, three hundred twenty thousand, two hundred thirty-two".

Divisors: 1 2 4 8 11 22 44 67 79 88 134 158 268 316 536 632 737 869 1151 1474 1738 2302 2948 3476 4373 4604 5293 5896 6952 8746 9208 10586 12661 17492 21172 25322 34984 42344 48103 50644 58223 77117 90929 96206 101288 116446 154234 181858 192412 232892 292991 308468 345467 363716 384824 465784 585982 616936 690934 727432 848287 1000219 1171964 1381868 1696574 2000438 2343928 2763736 3222901 3393148 3800137 4000876 5033323 6092243 6445802 6786296 7600274 8001752 10066646 12184486 12891604 15200548 20133292 23146289 24368972 25783208 30401096 40266584 46292578 48737944 55366553 67014673 92585156 110733106 134029346 185170312 221466212 254609179 268058692 337232641 397632517 442932424 509218358 536117384 674465282 795265034 1018436716 1348930564 1590530068 2036873432 2697861128 3181060136 3709559051 4373957687 7419118102 8747915374 14838236204 17495830748 26641378639 29676472408 34991661496 53282757278 106565514556 213131029112 293055165029 586110330058 1172220660116 2344441320232