[go: up one dir, main page]

Search a number
-
+
4044434112 = 26335714099
BaseRepresentation
bin1111000100010001…
…0010101011000000
3101102212022112121000
43301010102223000
531240333342422
61505154132000
7202140060045
oct36104225300
911385275530
104044434112
111795a83234
1294a581000
134c5bab5a4
142a51dd1cc
1518a100cac
hexf1112ac0

4044434112 has 112 divisors (see below), whose sum is σ = 11913616000. Its totient is φ = 1345455360.

The previous prime is 4044434089. The next prime is 4044434117. The reversal of 4044434112 is 2114344404.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (4044434117) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 984639 + ... + 988737.

Almost surely, 24044434112 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 4044434112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5956808000).

4044434112 is an abundant number, since it is smaller than the sum of its proper divisors (7869181888).

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

4044434112 is a wasteful number, since it uses less digits than its factorization.

4044434112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4691 (or 4675 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

The square root of 4044434112 is about 63595.8655259915. The cubic root of 4044434112 is about 1593.2573167206.

Adding to 4044434112 its reverse (2114344404), we get a palindrome (6158778516).

The spelling of 4044434112 in words is "four billion, forty-four million, four hundred thirty-four thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 144 192 216 288 432 571 576 864 1142 1713 1728 2284 3426 4099 4568 5139 6852 8198 9136 10278 12297 13704 15417 16396 18272 20556 24594 27408 30834 32792 36544 36891 41112 49188 54816 61668 65584 73782 82224 98376 109632 110673 123336 131168 147564 164448 196752 221346 246672 262336 295128 328896 393504 442692 493344 590256 787008 885384 986688 1180512 1770768 2340529 2361024 3541536 4681058 7021587 7083072 9362116 14043174 18724232 21064761 28086348 37448464 42129522 56172696 63194283 74896928 84259044 112345392 126388566 149793856 168518088 224690784 252777132 337036176 449381568 505554264 674072352 1011108528 1348144704 2022217056 4044434112