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40144515120 = 2432555756271
BaseRepresentation
bin100101011000110011…
…001011000000110000
310211121201222122222100
4211120303023000300
51124203443440440
630235300140400
72620550514453
oct453063130060
9124551878870
1040144515120
1116030594426
127944397700
133a29cb0a78
141d2b86949a
15109e531230
hex958ccb030

40144515120 has 60 divisors (see below), whose sum is σ = 134818665696. Its totient is φ = 10705203840.

The previous prime is 40144515119. The next prime is 40144515137. The reversal of 40144515120 is 2151544104.

40144515120 is a `hidden beast` number, since 4 + 0 + 144 + 5 + 1 + 512 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (60).

It is a super-2 number, since 2×401445151202 (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 27877416 + ... + 27878855.

Almost surely, 240144515120 is an apocalyptic number.

40144515120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

40144515120 is an abundant number, since it is smaller than the sum of its proper divisors (94674150576).

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

40144515120 is a wasteful number, since it uses less digits than its factorization.

40144515120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55756290 (or 55756281 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

The spelling of 40144515120 in words is "forty billion, one hundred forty-four million, five hundred fifteen thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 55756271 111512542 167268813 223025084 278781355 334537626 446050168 501806439 557562710 669075252 836344065 892100336 1003612878 1115125420 1338150504 1672688130 2007225756 2230250840 2509032195 2676301008 3345376260 4014451512 4460501680 5018064390 6690752520 8028903024 10036128780 13381505040 20072257560 40144515120