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9941233104 = 2432116419791
BaseRepresentation
bin10010100001000101…
…10010110111010000
3221122211011222002200
421100202302313100
5130324423424404
64322243043200
7501232041615
oct112042626720
927584158080
109941233104
114241626630
121b15370500
13c2578286a
146a442650c
153d2b50839
hex2508b2dd0

9941233104 has 120 divisors (see below), whose sum is σ = 30401339904. Its totient is φ = 3007488000.

The previous prime is 9941233103. The next prime is 9941233111. The reversal of 9941233104 is 4013321499.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9941233103) 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, 1010449 + ... + 1020239.

Almost surely, 29941233104 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 9941233104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15200669952).

9941233104 is an abundant number, since it is smaller than the sum of its proper divisors (20460106800).

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

9941233104 is a wasteful number, since it uses less digits than its factorization.

9941233104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10457 (or 10448 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 9941233104 is about 99705.7325533492. The cubic root of 9941233104 is about 2150.2060811295.

The spelling of 9941233104 in words is "nine billion, nine hundred forty-one million, two hundred thirty-three thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 33 36 44 48 66 72 88 99 132 144 176 198 264 396 528 641 792 1282 1584 1923 2564 3846 5128 5769 7051 7692 9791 10256 11538 14102 15384 19582 21153 23076 28204 29373 30768 39164 42306 46152 56408 58746 63459 78328 84612 88119 92304 107701 112816 117492 126918 156656 169224 176238 215402 234984 253836 323103 338448 352476 430804 469968 507672 646206 704952 861608 969309 1015344 1292412 1409904 1723216 1938618 2584824 3877236 5169648 6276031 7754472 12552062 15508944 18828093 25104124 37656186 50208248 56484279 69036341 75312372 100416496 112968558 138072682 150624744 207109023 225937116 276145364 301249488 414218046 451874232 552290728 621327069 828436092 903748464 1104581456 1242654138 1656872184 2485308276 3313744368 4970616552 9941233104