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40141542240 = 2532527876071
BaseRepresentation
bin100101011000100111…
…110101001101100000
310211121112101121221200
4211120213311031200
51124202213322430
630235112321200
72620513323252
oct453047651540
9124545347850
1040141542240
11160299438a8
1279433a3200
133a294ac877
141d2b2d3cd2
15109e145460
hex9589f5360

40141542240 has 72 divisors (see below), whose sum is σ = 136983017808. Its totient is φ = 10704410880.

The previous prime is 40141542223. The next prime is 40141542263. The reversal of 40141542240 is 4224514104.

40141542240 is a `hidden beast` number, since 4 + 0 + 1 + 415 + 4 + 2 + 240 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×401415422402 (a number of 22 digits) contains 22 as substring.

It is a congruent 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 11 ways as a sum of consecutive naturals, for example, 13936596 + ... + 13939475.

It is an arithmetic number, because the mean of its divisors is an integer number (1902541914).

Almost surely, 240141542240 is an apocalyptic number.

40141542240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

40141542240 is an abundant number, since it is smaller than the sum of its proper divisors (96841475568).

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

40141542240 is a wasteful number, since it uses less digits than its factorization.

40141542240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27876092 (or 27876081 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 27.

The spelling of 40141542240 in words is "forty billion, one hundred forty-one million, five hundred forty-two thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 288 360 480 720 1440 27876071 55752142 83628213 111504284 139380355 167256426 223008568 250884639 278760710 334512852 418141065 446017136 501769278 557521420 669025704 836282130 892034272 1003538556 1115042840 1254423195 1338051408 1672564260 2007077112 2230085680 2508846390 2676102816 3345128520 4014154224 4460171360 5017692780 6690257040 8028308448 10035385560 13380514080 20070771120 40141542240