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10142112341004 = 2237487280188513
BaseRepresentation
bin1001001110010110010100…
…0000001101110000001100
31022220120120020200011200120
42103211211000031300030
52312132021224403004
633323115545424540
72064512666330220
oct223454500156014
938816506604616
1010142112341004
113260278015226
121179738a9b150
13587521539627
14270c490da780
15128c463183d9
hex9396500dc0c

10142112341004 has 96 divisors (see below), whose sum is σ = 27111149915136. Its totient is φ = 2890731110400.

The previous prime is 10142112340981. The next prime is 10142112341017. The reversal of 10142112341004 is 40014321124101.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 114539052 + ... + 114627564.

It is an arithmetic number, because the mean of its divisors is an integer number (282407811616).

Almost surely, 210142112341004 is an apocalyptic number.

10142112341004 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

10142112341004 is an abundant number, since it is smaller than the sum of its proper divisors (16969037574132).

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

10142112341004 is a wasteful number, since it uses less digits than its factorization.

10142112341004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91815 (or 91813 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

Adding to 10142112341004 its reverse (40014321124101), we get a palindrome (50156433465105).

The spelling of 10142112341004 in words is "ten trillion, one hundred forty-two billion, one hundred twelve million, three hundred forty-one thousand, four".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 487 974 1461 1948 2801 2922 3409 5602 5844 6818 8403 10227 11204 13636 16806 19607 20454 33612 39214 40908 58821 78428 88513 117642 177026 235284 265539 354052 531078 619591 1062156 1239182 1364087 1858773 2478364 2728174 3717546 4092261 5456348 7435092 8184522 9548609 16369044 19097218 28645827 38194436 43105831 57291654 86211662 114583308 129317493 172423324 247924913 258634986 301740817 495849826 517269972 603481634 743774739 905222451 991699652 1206963268 1487549478 1735474391 1810444902 2975098956 3470948782 3620889804 5206423173 6941897564 10412846346 20825692692 120739432631 241478865262 362218297893 482957730524 724436595786 845176028417 1448873191572 1690352056834 2535528085251 3380704113668 5071056170502 10142112341004