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240054456221740 = 225151199739803821
BaseRepresentation
bin110110100101010000001000…
…100101110000000000101100
31011110221222111210112202112101
4312211100020211300000230
5222431023011243043430
62210315254511344444
7101364235131542236
oct6645201045600054
91143858453482471
10240054456221740
116a54158336a856
1222b101b3822124
13a3c40658b2654
14433c9aa5c1256
151cb4579992dca
hexda540897002c

240054456221740 has 48 divisors (see below), whose sum is σ = 507706984096704. Its totient is φ = 95338109664000.

The previous prime is 240054456221737. The next prime is 240054456221743. The reversal of 240054456221740 is 47122654450042.

It is an interprime number because it is at equal distance from previous prime (240054456221737) and next prime (240054456221743).

It is a super-2 number, since 2×2400544562217402 (a number of 30 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (240054456221743) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 13870971 + ... + 25932850.

It is an arithmetic number, because the mean of its divisors is an integer number (10577228835348).

Almost surely, 2240054456221740 is an apocalyptic number.

240054456221740 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

240054456221740 is an abundant number, since it is smaller than the sum of its proper divisors (267652527874964).

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

240054456221740 is a wasteful number, since it uses less digits than its factorization.

240054456221740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39805978 (or 39805976 counting only the distinct ones).

The product of its (nonzero) digits is 2150400, while the sum is 46.

The spelling of 240054456221740 in words is "two hundred forty trillion, fifty-four billion, four hundred fifty-six million, two hundred twenty-one thousand, seven hundred forty".

Divisors: 1 2 4 5 10 20 151 302 604 755 1510 1997 3020 3994 7988 9985 19970 39940 301547 603094 1206188 1507735 3015470 6030940 39803821 79607642 159215284 199019105 398038210 796076420 6010376971 12020753942 24041507884 30051884855 60103769710 79488230537 120207539420 158976461074 317952922148 397441152685 794882305370 1589764610740 12002722811087 24005445622174 48010891244348 60013614055435 120027228110870 240054456221740