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142120002400040 = 23572676491896407
BaseRepresentation
bin100000010100000111100100…
…010000100010111100101000
3200122012112120022202221022002
4200110013210100202330220
5122111443231103300130
61222133005555550132
741635555101253550
oct4024074420427450
9618175508687262
10142120002400040
1141313833326355
1213b339852bb348
13613bb217bc672
14271490554a160
151166d02795b45
hex8141e4422f28

142120002400040 has 64 divisors (see below), whose sum is σ = 365452992864000. Its totient is φ = 48726650216448.

The previous prime is 142120002400003. The next prime is 142120002400199. The reversal of 142120002400040 is 40004200021241.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 142120002399985 and 142120002400021.

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 15 ways as a sum of consecutive naturals, for example, 73993517 + ... + 75889923.

It is an arithmetic number, because the mean of its divisors is an integer number (5710203013500).

Almost surely, 2142120002400040 is an apocalyptic number.

142120002400040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

142120002400040 is an abundant number, since it is smaller than the sum of its proper divisors (223332990463960).

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

142120002400040 is a wasteful number, since it uses less digits than its factorization.

142120002400040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2164074 (or 2164070 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

Adding to 142120002400040 its reverse (40004200021241), we get a palindrome (182124202421281).

The spelling of 142120002400040 in words is "one hundred forty-two trillion, one hundred twenty billion, two million, four hundred thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 280 267649 535298 1070596 1338245 1873543 1896407 2141192 2676490 3747086 3792814 5352980 7494172 7585628 9367715 9482035 10705960 13274849 14988344 15171256 18735430 18964070 26549698 37470860 37928140 53099396 66374245 74941720 75856280 106198792 132748490 265496980 530993960 507571437143 1015142874286 2030285748572 2537857185715 3553000060001 4060571497144 5075714371430 7106000120002 10151428742860 14212000240004 17765000300005 20302857485720 28424000480008 35530000600010 71060001200020 142120002400040