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142013008416 = 25319103755903
BaseRepresentation
bin1000010001000010100…
…0101000101000100000
3111120120010112022011110
42010100220220220200
54311320312232131
6145123451343320
713155133440336
oct2042050505040
9446503468143
10142013008416
1155255706164
1223633a51b40
1310512942336
146c32b11b56
153a62803646
hex2110a28a20

142013008416 has 96 divisors (see below), whose sum is σ = 396214640640. Its totient is φ = 44410754304.

The previous prime is 142013008399. The next prime is 142013008441. The reversal of 142013008416 is 614800310241.

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 190080 + ... + 565823.

It is an arithmetic number, because the mean of its divisors is an integer number (4127235840).

Almost surely, 2142013008416 is an apocalyptic number.

142013008416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

142013008416 is an abundant number, since it is smaller than the sum of its proper divisors (254201632224).

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

142013008416 is a wasteful number, since it uses less digits than its factorization.

142013008416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 756038 (or 756030 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

Adding to 142013008416 its reverse (614800310241), we get a palindrome (756813318657).

The spelling of 142013008416 in words is "one hundred forty-two billion, thirteen million, eight thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 76 96 103 114 152 206 228 304 309 412 456 608 618 824 912 1236 1648 1824 1957 2472 3296 3914 4944 5871 7828 9888 11742 15656 23484 31312 46968 62624 93936 187872 755903 1511806 2267709 3023612 4535418 6047224 9070836 12094448 14362157 18141672 24188896 28724314 36283344 43086471 57448628 72566688 77858009 86172942 114897256 155716018 172345884 229794512 233574027 311432036 344691768 459589024 467148054 622864072 689383536 934296108 1245728144 1378767072 1479302171 1868592216 2491456288 2958604342 3737184432 4437906513 5917208684 7474368864 8875813026 11834417368 17751626052 23668834736 35503252104 47337669472 71006504208 142013008416