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11142344400 = 2435211844117
BaseRepresentation
bin10100110000010001…
…01010111011010000
31001202112021202001020
422120020222323100
5140304420010100
65041351035440
7543055236045
oct123010527320
931675252036
1011142344400
1147a86212a0
1221ab66bb80
131087575ac5
14779b651cc
1545330a5a0
hex29822aed0

11142344400 has 120 divisors (see below), whose sum is σ = 38937475104. Its totient is φ = 2701171200.

The previous prime is 11142344399. The next prime is 11142344419. The reversal of 11142344400 is 444324111.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×111423444002 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 408859 + ... + 435258.

Almost surely, 211142344400 is an apocalyptic number.

11142344400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11142344400 is an abundant number, since it is smaller than the sum of its proper divisors (27795130704).

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

11142344400 is a wasteful number, since it uses less digits than its factorization.

11142344400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 844149 (or 844138 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 11142344400 its reverse (444324111), we get a palindrome (11586668511).

The spelling of 11142344400 in words is "eleven billion, one hundred forty-two million, three hundred forty-four thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 25 30 33 40 44 48 50 55 60 66 75 80 88 100 110 120 132 150 165 176 200 220 240 264 275 300 330 400 440 528 550 600 660 825 880 1100 1200 1320 1650 2200 2640 3300 4400 6600 13200 844117 1688234 2532351 3376468 4220585 5064702 6752936 8441170 9285287 10129404 12661755 13505872 16882340 18570574 20258808 21102925 25323510 27855861 33764680 37141148 40517616 42205850 46426435 50647020 55711722 63308775 67529360 74282296 84411700 92852870 101294040 111423444 126617550 139279305 148564592 168823400 185705740 202588080 222846888 232132175 253235100 278558610 337646800 371411480 445693776 464264350 506470200 557117220 696396525 742822960 928528700 1012940400 1114234440 1392793050 1857057400 2228468880 2785586100 3714114800 5571172200 11142344400