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214002410004 = 22325944511389
BaseRepresentation
bin1100011101001110001…
…0011010001000010100
3202110101012021210222100
43013103202122020110
512001234104110004
6242151130202100
721314115320535
oct3072342321024
9673335253870
10214002410004
1182837866079
1235584b83330
1317246292c96
14a501a2468c
1558778d1739
hex31d389a214

214002410004 has 18 divisors (see below), whose sum is σ = 540950536490. Its totient is φ = 71334136656.

The previous prime is 214002409991. The next prime is 214002410009. The reversal of 214002410004 is 400014200412.

214002410004 is a `hidden beast` number, since 21 + 400 + 241 + 0 + 0 + 0 + 4 = 666.

214002410004 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 213904400004 + 98010000 = 462498^2 + 9900^2 .

It is a tau number, because it is divible by the number of its divisors (18).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214002410009) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2972255659 + ... + 2972255730.

Almost surely, 2214002410004 is an apocalyptic number.

It is an amenable number.

214002410004 is an abundant number, since it is smaller than the sum of its proper divisors (326948126486).

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

214002410004 is a wasteful number, since it uses less digits than its factorization.

214002410004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5944511399 (or 5944511394 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 214002410004 its reverse (400014200412), we get a palindrome (614016610416).

The spelling of 214002410004 in words is "two hundred fourteen billion, two million, four hundred ten thousand, four".

Divisors: 1 2 3 4 6 9 12 18 36 5944511389 11889022778 17833534167 23778045556 35667068334 53500602501 71334136668 107001205002 214002410004