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1141106928 = 243132163863
BaseRepresentation
bin100010000000011…
…1110100011110000
32221112012020102120
41010000332203300
54314110410203
6305121514240
740164151233
oct10400764360
92845166376
101141106928
11536141585
1227a1a2980
13152544300
14ab79d41a
156a2a5b53
hex4403e8f0

1141106928 has 120 divisors (see below), whose sum is σ = 3215365632. Its totient is φ = 348551424.

The previous prime is 1141106927. The next prime is 1141106947. The reversal of 1141106928 is 8296011411.

It is a super-2 number, since 2×11411069282 = 2604250042259194368, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1141106927) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1321825 + ... + 1322687.

Almost surely, 21141106928 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1141106928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1607682816).

1141106928 is an abundant number, since it is smaller than the sum of its proper divisors (2074258704).

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

1141106928 is a wasteful number, since it uses less digits than its factorization.

1141106928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1063 (or 1044 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 33.

The square root of 1141106928 is about 33780.2742440022. The cubic root of 1141106928 is about 1044.9819301989.

The spelling of 1141106928 in words is "one billion, one hundred forty-one million, one hundred six thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 104 156 163 169 208 312 326 338 489 507 624 652 676 863 978 1014 1304 1352 1726 1956 2028 2119 2589 2608 2704 3452 3912 4056 4238 5178 6357 6904 7824 8112 8476 10356 11219 12714 13808 16952 20712 22438 25428 27547 33657 33904 41424 44876 50856 55094 67314 82641 89752 101712 110188 134628 140669 145847 165282 179504 220376 269256 281338 291694 330564 422007 437541 440752 538512 562676 583388 661128 844014 875082 1125352 1166776 1322256 1688028 1750164 1828697 2250704 2333552 3376056 3500328 3657394 5486091 6752112 7000656 7314788 10972182 14629576 21944364 23773061 29259152 43888728 47546122 71319183 87777456 95092244 142638366 190184488 285276732 380368976 570553464 1141106928