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3142456748496 = 2432131697998867
BaseRepresentation
bin101101101110101001000…
…001001010100111010000
3102010102020012202220120100
4231232221001022213100
5402441222411422441
610403342534012400
7443015002432332
oct55565101124720
912112205686510
103142456748496
111001787a0237a
124290424a7100
1319a442389820
14ac14a917452
1556b20e9acb6
hex2dba904a9d0

3142456748496 has 120 divisors (see below), whose sum is σ = 9471669086880. Its totient is φ = 966843042048.

The previous prime is 3142456748479. The next prime is 3142456748521. The reversal of 3142456748496 is 6948476542413.

3142456748496 is a `hidden beast` number, since 3 + 1 + 4 + 2 + 4 + 5 + 67 + 484 + 96 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 31735255 + ... + 31834121.

It is an arithmetic number, because the mean of its divisors is an integer number (78930575724).

Almost surely, 23142456748496 is an apocalyptic number.

3142456748496 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

3142456748496 is an abundant number, since it is smaller than the sum of its proper divisors (6329212338384).

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

3142456748496 is a wasteful number, since it uses less digits than its factorization.

3142456748496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115873 (or 115864 counting only the distinct ones).

The product of its digits is 139345920, while the sum is 63.

The spelling of 3142456748496 in words is "three trillion, one hundred forty-two billion, four hundred fifty-six million, seven hundred forty-eight thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 36 39 48 52 72 78 104 117 144 156 208 234 312 468 624 936 1872 16979 33958 50937 67916 98867 101874 135832 152811 197734 203748 220727 271664 296601 305622 395468 407496 441454 593202 611244 662181 790936 814992 882908 889803 1186404 1222488 1285271 1324362 1581872 1765816 1779606 1986543 2372808 2444976 2570542 2648724 3531632 3559212 3855813 3973086 4745616 5141084 5297448 7118424 7711626 7946172 10282168 10594896 11567439 14236848 15423252 15892344 20564336 23134878 30846504 31784688 46269756 61693008 92539512 185079024 1678662793 3357325586 5035988379 6714651172 10071976758 13429302344 15107965137 20143953516 21822616309 26858604688 30215930274 40287907032 43645232618 60431860548 65467848927 80575814064 87290465236 120863721096 130935697854 174580930472 196403546781 241727442192 261871395708 349161860944 392807093562 523742791416 785614187124 1047485582832 1571228374248 3142456748496