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2154160329144 = 233151159402171
BaseRepresentation
bin11111010110001101111…
…101100001000110111000
321121221021010200222112020
4133112031331201012320
5240243210021013034
64325335123514440
7311430046452555
oct37261575410670
97557233628466
102154160329144
1176063538a88a
122a95a7b28a20
131281a0a0c745
14763949aba2c
153b07be52249
hex1f58df611b8

2154160329144 has 32 divisors (see below), whose sum is σ = 5388965043840. Its totient is φ = 717578213600.

The previous prime is 2154160329119. The next prime is 2154160329149. The reversal of 2154160329144 is 4419230614512.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 2154160329096 and 2154160329105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2154160329149) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 29664822 + ... + 29737349.

It is an arithmetic number, because the mean of its divisors is an integer number (168405157620).

Almost surely, 22154160329144 is an apocalyptic number.

2154160329144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2154160329144 is an abundant number, since it is smaller than the sum of its proper divisors (3234804714696).

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

2154160329144 is a wasteful number, since it uses less digits than its factorization.

2154160329144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59403691 (or 59403687 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 42.

The spelling of 2154160329144 in words is "two trillion, one hundred fifty-four billion, one hundred sixty million, three hundred twenty-nine thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 24 1511 3022 4533 6044 9066 12088 18132 36264 59402171 118804342 178206513 237608684 356413026 475217368 712826052 1425652104 89756680381 179513360762 269270041143 359026721524 538540082286 718053443048 1077080164572 2154160329144