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14153237040 = 2435371593833
BaseRepresentation
bin11010010111001100…
…10100001000110000
31100112100210221021110
431023212110020300
5212441212041130
610300224553320
71010505346515
oct151346241060
940470727243
1014153237040
116003151518
1228aba82840
1314472a2297
149839a530c
1557c801ab0
hex34b994230

14153237040 has 80 divisors (see below), whose sum is σ = 45060874848. Its totient is φ = 3672188928.

The previous prime is 14153237029. The next prime is 14153237051. The reversal of 14153237040 is 4073235141.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (14153237029) and next prime (14153237051).

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 14153236989 and 14153237007.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 788037 + ... + 805796.

Almost surely, 214153237040 is an apocalyptic number.

14153237040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14153237040 is an abundant number, since it is smaller than the sum of its proper divisors (30907637808).

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

14153237040 is a wasteful number, since it uses less digits than its factorization.

14153237040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1593886 (or 1593880 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 30.

The spelling of 14153237040 in words is "fourteen billion, one hundred fifty-three million, two hundred thirty-seven thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 37 40 48 60 74 80 111 120 148 185 222 240 296 370 444 555 592 740 888 1110 1480 1776 2220 2960 4440 8880 1593833 3187666 4781499 6375332 7969165 9562998 12750664 15938330 19125996 23907495 25501328 31876660 38251992 47814990 58971821 63753320 76503984 95629980 117943642 127506640 176915463 191259960 235887284 294859105 353830926 382519920 471774568 589718210 707661852 884577315 943549136 1179436420 1415323704 1769154630 2358872840 2830647408 3538309260 4717745680 7076618520 14153237040