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15140045413200 = 2435224152351471
BaseRepresentation
bin1101110001010001000100…
…0001110101101101010000
31222121101002210111111012010
43130110101001311231100
53441023303111210300
652111124004502520
73121555303440651
oct334242101655520
958541083444163
1015140045413200
114907947a32294
1218462aa6aaa40
1385a914322196
143a4ad4165528
151b3c62356a50
hexdc511075b50

15140045413200 has 120 divisors (see below), whose sum is σ = 48699852125056. Its totient is φ = 4020592896000.

The previous prime is 15140045413193. The next prime is 15140045413231. The reversal of 15140045413200 is 231454004151.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×151400454132002 (a number of 27 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 25886536 + ... + 26464935.

Almost surely, 215140045413200 is an apocalyptic number.

15140045413200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

15140045413200 is an abundant number, since it is smaller than the sum of its proper divisors (33559806711856).

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

15140045413200 is a wasteful number, since it uses less digits than its factorization.

15140045413200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52351733 (or 52351722 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 30.

Adding to 15140045413200 its reverse (231454004151), we get a palindrome (15371499417351).

The spelling of 15140045413200 in words is "fifteen trillion, one hundred forty billion, forty-five million, four hundred thirteen thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 150 200 240 241 300 400 482 600 723 964 1200 1205 1446 1928 2410 2892 3615 3856 4820 5784 6025 7230 9640 11568 12050 14460 18075 19280 24100 28920 36150 48200 57840 72300 96400 144600 289200 52351471 104702942 157054413 209405884 261757355 314108826 418811768 523514710 628217652 785272065 837623536 1047029420 1256435304 1308786775 1570544130 2094058840 2512870608 2617573550 3141088260 3926360325 4188117680 5235147100 6282176520 7852720650 10470294200 12564353040 12616704511 15705441300 20940588400 25233409022 31410882600 37850113533 50466818044 62821765200 63083522555 75700227066 100933636088 126167045110 151400454132 189250567665 201867272176 252334090220 302800908264 315417612775 378501135330 504668180440 605601816528 630835225550 757002270660 946252838325 1009336360880 1261670451100 1514004541320 1892505676650 2523340902200 3028009082640 3785011353300 5046681804400 7570022706600 15140045413200