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42152055344 = 2475944914207
BaseRepresentation
bin100111010000011101…
…010101001000110000
311000210122112021102222
4213100131111020300
51142311411232334
631210412500212
73021365362430
oct472035251060
9130718467388
1042152055344
1116970811083
12820477a668
133c89b981a9
14207c3282c0
15116a8d2d2e
hex9d0755230

42152055344 has 80 divisors (see below), whose sum is σ = 95136768000. Its totient is φ = 17718177792.

The previous prime is 42152055307. The next prime is 42152055349. The reversal of 42152055344 is 44355025124.

It is not an unprimeable number, because it can be changed into a prime (42152055349) 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, 2959889 + ... + 2974095.

It is an arithmetic number, because the mean of its divisors is an integer number (1189209600).

Almost surely, 242152055344 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 42152055344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47568384000).

42152055344 is an abundant number, since it is smaller than the sum of its proper divisors (52984712656).

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

42152055344 is a wasteful number, since it uses less digits than its factorization.

42152055344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14730 (or 14724 counting only the distinct ones).

The product of its (nonzero) digits is 96000, while the sum is 35.

The spelling of 42152055344 in words is "forty-two billion, one hundred fifty-two million, fifty-five thousand, three hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 56 59 112 118 236 413 449 472 826 898 944 1652 1796 3143 3304 3592 6286 6608 7184 12572 14207 25144 26491 28414 50288 52982 56828 99449 105964 113656 185437 198898 211928 227312 370874 397796 423856 741748 795592 838213 1483496 1591184 1676426 2966992 3352852 5867491 6378943 6705704 11734982 12757886 13411408 23469964 25515772 44652601 46939928 51031544 89305202 93879856 102063088 178610404 357220808 376357637 714441616 752715274 1505430548 2634503459 3010861096 5269006918 6021722192 10538013836 21076027672 42152055344