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1540155302040 = 2335145124773571
BaseRepresentation
bin10110011010011000011…
…010001110000010011000
312110020102001220211120110
4112122120122032002120
5200213214224131130
63135312041124320
7216162325030665
oct26323032160230
95406361824513
101540155302040
115441a3575123
1220a5aaa896a0
13b230b703164
1454788702a6c
152a0e280bab0
hex1669868e098

1540155302040 has 128 divisors (see below), whose sum is σ = 4626812171520. Its totient is φ = 410144448000.

The previous prime is 1540155301963. The next prime is 1540155302057. The reversal of 1540155302040 is 402035510451.

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 = 1540155301989 and 1540155302007.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 431293455 + ... + 431297025.

It is an arithmetic number, because the mean of its divisors is an integer number (36146970090).

Almost surely, 21540155302040 is an apocalyptic number.

1540155302040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1540155302040 is an abundant number, since it is smaller than the sum of its proper divisors (3086656869480).

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

1540155302040 is a wasteful number, since it uses less digits than its factorization.

1540155302040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7513 (or 7509 counting only the distinct ones).

The product of its (nonzero) digits is 12000, while the sum is 30.

The spelling of 1540155302040 in words is "one trillion, five hundred forty billion, one hundred fifty-five million, three hundred two thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 1451 2477 2902 3571 4353 4954 5804 7142 7255 7431 8706 9908 10713 11608 12385 14284 14510 14862 17412 17855 19816 21426 21765 24770 28568 29020 29724 34824 35710 37155 42852 43530 49540 53565 58040 59448 71420 74310 85704 87060 99080 107130 142840 148620 174120 214260 297240 428520 3594127 5181521 7188254 8845367 10363042 10782381 14376508 15544563 17690734 17970635 20726084 21564762 25907605 26536101 28753016 31089126 35381468 35941270 41452168 43129524 44226835 51815210 53072202 53911905 62178252 70762936 71882540 77722815 86259048 88453670 103630420 106144404 107823810 124356504 132680505 143765080 155445630 176907340 207260840 212288808 215647620 265361010 310891260 353814680 431295240 530722020 621782520 1061444040 12834627517 25669255034 38503882551 51338510068 64173137585 77007765102 102677020136 128346275170 154015530204 192519412755 256692550340 308031060408 385038825510 513385100680 770077651020 1540155302040