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42002040000204 = 22321482178720959
BaseRepresentation
bin10011000110011010111001…
…01011001000111011001100
312111201100121101101121110200
421203031130223020323030
521001130134220001304
6225155245405333500
711563355464212204
oct1143153453107314
9174640541347420
1042002040000204
1112423a68653239
12486433a267290
131a58a1066cb3b
14a52ca3c77404
154cc881d5de39
hex26335cac8ecc

42002040000204 has 36 divisors (see below), whose sum is σ = 106178988289920. Its totient is φ = 13999735170720.

The previous prime is 42002040000169. The next prime is 42002040000241. The reversal of 42002040000204 is 40200004020024.

42002040000204 is a `hidden beast` number, since 42 + 0 + 0 + 20 + 400 + 0 + 0 + 204 = 666.

42002040000204 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 38826924 + ... + 39894035.

Almost surely, 242002040000204 is an apocalyptic number.

It is an amenable number.

42002040000204 is an abundant number, since it is smaller than the sum of its proper divisors (64176948289716).

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

42002040000204 is a wasteful number, since it uses less digits than its factorization.

42002040000204 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78735790 (or 78735785 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 18.

Adding to 42002040000204 its reverse (40200004020024), we get a palindrome (82202044020228).

The spelling of 42002040000204 in words is "forty-two trillion, two billion, forty million, two hundred four", and thus it is an aban number.

Divisors: 1 2 3 4 6 9 12 18 36 14821 29642 44463 59284 88926 133389 177852 266778 533556 78720959 157441918 236162877 314883836 472325754 708488631 944651508 1416977262 2833954524 1166723333339 2333446666678 3500170000017 4666893333356 7000340000034 10500510000051 14000680000068 21001020000102 42002040000204