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140331126465 = 325172276471249
BaseRepresentation
bin1000001010110001100…
…0110000111011000001
3111102012220202211212100
42002230120300323001
54244344232021330
6144244531021013
713065351615405
oct2025430607301
9442186684770
10140331126465
1154572298382
122324473a769
131030536a70a
146b135c5105
1539b4d2d060
hex20ac630ec1

140331126465 has 96 divisors (see below), whose sum is σ = 259290720000. Its totient is φ = 69965955072.

The previous prime is 140331126449. The next prime is 140331126473. The reversal of 140331126465 is 564621133041.

140331126465 is a `hidden beast` number, since 1 + 4 + 0 + 3 + 3 + 1 + 1 + 2 + 646 + 5 = 666.

It is not a de Polignac number, because 140331126465 - 24 = 140331126449 is a prime.

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, 112354161 + ... + 112355409.

It is an arithmetic number, because the mean of its divisors is an integer number (2700945000).

Almost surely, 2140331126465 is an apocalyptic number.

140331126465 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

140331126465 is a deficient number, since it is larger than the sum of its proper divisors (118959593535).

140331126465 is a wasteful number, since it uses less digits than its factorization.

140331126465 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2151 (or 2148 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 140331126465 in words is "one hundred forty billion, three hundred thirty-one million, one hundred twenty-six thousand, four hundred sixty-five".

Divisors: 1 3 5 9 15 17 45 51 85 153 227 255 647 681 765 1135 1249 1941 2043 3235 3405 3747 3859 5823 6245 9705 10215 10999 11241 11577 18735 19295 21233 29115 32997 34731 54995 56205 57885 63699 98991 106165 146869 164985 173655 191097 283523 318495 440607 494955 734345 808103 850569 955485 1321821 1417615 2203035 2424309 2496773 2551707 4040515 4252845 4819891 6609105 7272927 7490319 12121545 12483865 12758535 13737751 14459673 22470957 24099455 36364635 37451595 41213253 43379019 68688755 72298365 112354785 123639759 183439381 206066265 216895095 550318143 618198795 917196905 1650954429 2751590715 3118469477 8254772145 9355408431 15592347385 28066225293 46777042155 140331126465