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42412346210412 = 22323148273742121
BaseRepresentation
bin10011010010010111001001…
…10101000111100001101100
312120011120200022220201000200
421221023210311013201230
521024340441112213122
6230111543551353500
711635122322361253
oct1151134465074154
9176146608821020
1042412346210412
1112571a7a825932
12490b968b22890
131a8860c25bcc9
14a68aa8b0b79a
154d839844e5ac
hex2692e4d4786c

42412346210412 has 36 divisors (see below), whose sum is σ = 107209355436456. Its totient is φ = 14137400053440.

The previous prime is 42412346210401. The next prime is 42412346210417. The reversal of 42412346210412 is 21401264321424.

42412346210412 is a `hidden beast` number, since 4 + 2 + 4 + 1 + 23 + 4 + 6 + 210 + 412 = 666.

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

It is a super-2 number, since 2×424123462104122 (a number of 28 digits) contains 22 as substring.

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 (42412346210417) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9462712 + ... + 13204832.

Almost surely, 242412346210412 is an apocalyptic number.

It is an amenable number.

42412346210412 is an abundant number, since it is smaller than the sum of its proper divisors (64797009226044).

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

42412346210412 is a wasteful number, since it uses less digits than its factorization.

42412346210412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4056958 (or 4056953 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

The spelling of 42412346210412 in words is "forty-two trillion, four hundred twelve billion, three hundred forty-six million, two hundred ten thousand, four hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 36 314827 629654 944481 1259308 1888962 2833443 3742121 3777924 5666886 7484242 11226363 11333772 14968484 22452726 33679089 44905452 67358178 134716356 1178120728067 2356241456134 3534362184201 4712482912268 7068724368402 10603086552603 14137448736804 21206173105206 42412346210412