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3140005407 = 3721131371693
BaseRepresentation
bin1011101100101000…
…1010111000011111
322002211110210122120
42323022022320133
522412320133112
61235325114023
7140545414500
oct27312127037
98084423576
103140005407
1113714a65a0
127376b8913
133b06c4186
1421b04cba7
151359ebe8c
hexbb28ae1f

3140005407 has 96 divisors (see below), whose sum is σ = 5635897344. Its totient is φ = 1534982400.

The previous prime is 3140005403. The next prime is 3140005409. The reversal of 3140005407 is 7045000413.

It is not a de Polignac number, because 3140005407 - 22 = 3140005403 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3140005403) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1853853 + ... + 1855545.

It is an arithmetic number, because the mean of its divisors is an integer number (58707264).

Almost surely, 23140005407 is an apocalyptic number.

3140005407 is a gapful number since it is divisible by the number (37) formed by its first and last digit.

3140005407 is a deficient number, since it is larger than the sum of its proper divisors (2495891937).

3140005407 is a wasteful number, since it uses less digits than its factorization.

3140005407 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1789 (or 1782 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 24.

The square root of 3140005407 is about 56035.7511504932. The cubic root of 3140005407 is about 1464.3451910239.

The spelling of 3140005407 in words is "three billion, one hundred forty million, five thousand, four hundred seven".

Divisors: 1 3 7 11 21 31 33 37 49 77 93 111 147 217 231 259 341 407 539 651 777 1023 1147 1221 1519 1617 1693 1813 2387 2849 3441 4557 5079 5439 7161 8029 8547 11851 12617 16709 18623 19943 24087 35553 37851 50127 52483 55869 56203 59829 62641 82957 88319 130361 157449 168609 187923 248871 264957 367381 391083 438487 577313 618233 689051 912527 1102143 1315461 1731939 1854699 1941871 2067153 2571667 2737581 3069409 4041191 4823357 5825613 7715001 9208227 12123573 13593097 14470071 21360581 28288337 33763499 40779291 64081743 84865011 95151679 101290497 149524067 285455037 448572201 1046668469 3140005407