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142200178632 = 233219223392
BaseRepresentation
bin1000010001101111001…
…0101000011111001000
3111121001011201112102200
42010123302220133020
54312211221204012
6145154215200200
713162565401161
oct2043362503710
9447034645380
10142200178632
1155341325996
1223686676060
1310542656a45
146c4d914768
153a73e763dc
hex211bca87c8

142200178632 has 108 divisors (see below), whose sum is σ = 406635925995. Its totient is φ = 44886121056.

The previous prime is 142200178597. The next prime is 142200178633. The reversal of 142200178632 is 236871002241.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

142200178632 is a `hidden beast` number, since 1 + 4 + 2 + 2 + 0 + 0 + 17 + 8 + 632 = 666.

It can be written as a sum of positive squares in only one way, i.e., 71100089316 + 71100089316 = 266646^2 + 266646^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=266646.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (142200178633) 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 26 ways as a sum of consecutive naturals, for example, 60794119 + ... + 60796457.

Almost surely, 2142200178632 is an apocalyptic number.

142200178632 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 142200178632

142200178632 is an abundant number, since it is smaller than the sum of its proper divisors (264435747363).

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

142200178632 is an equidigital number, since it uses as much as digits as its factorization.

142200178632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4728 (or 2363 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 142200178632 in words is "one hundred forty-two billion, two hundred million, one hundred seventy-eight thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 36 38 57 72 76 114 152 171 228 342 361 456 684 722 1083 1368 1444 2166 2339 2888 3249 4332 4678 6498 7017 8664 9356 12996 14034 18712 21051 25992 28068 42102 44441 56136 84204 88882 133323 168408 177764 266646 355528 399969 533292 799938 844379 1066584 1599876 1688758 2533137 3199752 3377516 5066274 5470921 6755032 7599411 10132548 10941842 15198822 16412763 20265096 21883684 30397644 32825526 43767368 49238289 60795288 65651052 98476578 103947499 131302104 196953156 207894998 311842497 393906312 415789996 623684994 831579992 935527491 1247369988 1871054982 1975002481 2494739976 3742109964 3950004962 5925007443 7484219928 7900009924 11850014886 15800019848 17775022329 23700029772 35550044658 47400059544 71100089316 142200178632