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40074666345 = 32571136771663
BaseRepresentation
bin100101010100101000…
…101110000101101001
310211102212112222110200
4211110220232011221
51124033103310340
630224323102413
72616042020640
oct452450560551
9124385488420
1040074666345
1115aa5116a6a
127924b11a09
133a1869602c
141d22486357
151098335330
hex954a2e169

40074666345 has 96 divisors (see below), whose sum is σ = 80255066112. Its totient is φ = 18120001536.

The previous prime is 40074666329. The next prime is 40074666413. The reversal of 40074666345 is 54366647004.

It is a happy number.

It is not a de Polignac number, because 40074666345 - 24 = 40074666329 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 40074666345.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 24096984 + ... + 24098646.

It is an arithmetic number, because the mean of its divisors is an integer number (835990272).

Almost surely, 240074666345 is an apocalyptic number.

40074666345 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

40074666345 is an abundant number, since it is smaller than the sum of its proper divisors (40180399767).

40074666345 is a wasteful number, since it uses less digits than its factorization.

40074666345 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2471 (or 2468 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 45.

The spelling of 40074666345 in words is "forty billion, seventy-four million, six hundred sixty-six thousand, three hundred forty-five".

Divisors: 1 3 5 7 9 15 21 35 45 63 105 113 315 339 565 677 791 1017 1663 1695 2031 2373 3385 3955 4739 4989 5085 6093 7119 8315 10155 11641 11865 14217 14967 23695 24945 30465 34923 35595 42651 58205 71085 74835 76501 104769 174615 187919 213255 229503 382505 523845 535507 563757 688509 939595 1125851 1147515 1315433 1606521 1691271 2677535 2818785 3377553 3442545 3946299 4819563 5629255 6577165 7880957 8032605 8456355 10132659 11838897 16887765 19731495 23642871 24097815 39404785 50663295 59194485 70928613 118214355 127221163 354643065 381663489 636105815 890548141 1144990467 1908317445 2671644423 4452740705 5724952335 8014933269 13358222115 40074666345