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6044131104 = 253116785427
BaseRepresentation
bin1011010000100001…
…00001111100100000
3120121020002200011120
411220100201330200
544334244143404
62435430412240
7302531160324
oct55020417440
916536080146
106044131104
112621833180
121208201080
1375427aa4b
14414a19984
152559539d9
hex168421f20

6044131104 has 96 divisors (see below), whose sum is σ = 17566730496. Its totient is φ = 1804197120.

The previous prime is 6044131103. The next prime is 6044131109. The reversal of 6044131104 is 4011314406.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is not an unprimeable number, because it can be changed into a prime (6044131103) 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, 28039 + ... + 113465.

It is an arithmetic number, because the mean of its divisors is an integer number (182986776).

Almost surely, 26044131104 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 6044131104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8783365248).

6044131104 is an abundant number, since it is smaller than the sum of its proper divisors (11522599392).

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

6044131104 is a wasteful number, since it uses less digits than its factorization.

6044131104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85518 (or 85510 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 6044131104 is about 77744.0100843788. The cubic root of 6044131104 is about 1821.5648000259.

The spelling of 6044131104 in words is "six billion, forty-four million, one hundred thirty-one thousand, one hundred four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 67 88 96 132 134 176 201 264 268 352 402 528 536 737 804 1056 1072 1474 1608 2144 2211 2948 3216 4422 5896 6432 8844 11792 17688 23584 35376 70752 85427 170854 256281 341708 512562 683416 939697 1025124 1366832 1879394 2050248 2733664 2819091 3758788 4100496 5638182 5723609 7517576 8200992 11276364 11447218 15035152 17170827 22552728 22894436 30070304 34341654 45105456 45788872 62959699 68683308 90210912 91577744 125919398 137366616 183155488 188879097 251838796 274733232 377758194 503677592 549466464 755516388 1007355184 1511032776 2014710368 3022065552 6044131104