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3145256001 = 343141137223
BaseRepresentation
bin1011101101111000…
…1100110001000001
322010012100120010000
42323132030301001
522420141143001
61240033430213
7140641143366
oct27336146101
98105316100
103145256001
111374462428
1273940b369
133b1812034
1421ba1846d
151361d7a86
hexbb78cc41

3145256001 has 80 divisors (see below), whose sum is σ = 5027033088. Its totient is φ = 1956441600.

The previous prime is 3145255963. The next prime is 3145256041. The reversal of 3145256001 is 1006525413.

3145256001 is a `hidden beast` number, since 3 + 1 + 4 + 52 + 5 + 600 + 1 = 666.

3145256001 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 3145256001 - 211 = 3145253953 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (3145256041) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 14104176 + ... + 14104398.

Almost surely, 23145256001 is an apocalyptic number.

3145256001 is a gapful number since it is divisible by the number (31) formed by its first and last digit.

It is an amenable number.

3145256001 is a deficient number, since it is larger than the sum of its proper divisors (1881777087).

3145256001 is a wasteful number, since it uses less digits than its factorization.

3145256001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 444 (or 435 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 3145256001 is about 56082.5819751552. The cubic root of 3145256001 is about 1465.1609433856.

The spelling of 3145256001 in words is "three billion, one hundred forty-five million, two hundred fifty-six thousand, one".

Divisors: 1 3 9 27 31 41 81 93 123 137 223 279 369 411 669 837 1107 1233 1271 2007 2511 3321 3699 3813 4247 5617 6021 6913 9143 11097 11439 12741 16851 18063 20739 27429 30551 34317 38223 50553 62217 82287 91653 102951 114669 151659 174127 186651 246861 274959 283433 344007 454977 522381 559953 740583 824877 850299 947081 1252591 1567143 2474631 2550897 2841243 3757773 4701429 7652691 8523729 11273319 14104287 22958073 25571187 33819957 38830321 76713561 101459871 116490963 349472889 1048418667 3145256001