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400442131104 = 2538447493817
BaseRepresentation
bin1011101001111000011…
…01100000001010100000
31102021121111111221211220
411310330031200022200
523030101141143404
6503543252335040
740634220644661
oct5647415401240
91367544457756
10400442131104
11144910164004
1265737314480
132b9b9111492
141554abb3368
15a63a6304d9
hex5d3c3602a0

400442131104 has 48 divisors (see below), whose sum is σ = 1051287164928. Its totient is φ = 133464637952.

The previous prime is 400442131021. The next prime is 400442131151. The reversal of 400442131104 is 401131244004.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×4004421311042 (a number of 24 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 564004 + ... + 1057820.

It is an arithmetic number, because the mean of its divisors is an integer number (21901815936).

Almost surely, 2400442131104 is an apocalyptic number.

It is an amenable number.

400442131104 is an abundant number, since it is smaller than the sum of its proper divisors (650845033824).

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

400442131104 is a wasteful number, since it uses less digits than its factorization.

400442131104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 502277 (or 502269 counting only the distinct ones).

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

Adding to 400442131104 its reverse (401131244004), we get a palindrome (801573375108).

The spelling of 400442131104 in words is "four hundred billion, four hundred forty-two million, one hundred thirty-one thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 8447 16894 25341 33788 50682 67576 101364 135152 202728 270304 405456 493817 810912 987634 1481451 1975268 2962902 3950536 5925804 7901072 11851608 15802144 23703216 47406432 4171272199 8342544398 12513816597 16685088796 25027633194 33370177592 50055266388 66740355184 100110532776 133480710368 200221065552 400442131104