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1540141304112 = 2432311369725189
BaseRepresentation
bin10110011010010111100…
…100110100100100110000
312110020101002120200000200
4112122113210310210300
5200213202133212422
63135310421115200
7216162065040465
oct26322744644460
95406332520020
101540141304112
11544196684294
1220a5a6258b00
13b2308841968
14547868db66c
152a0e14942ac
hex16697934930

1540141304112 has 120 divisors (see below), whose sum is σ = 4449798587520. Its totient is φ = 496763781120.

The previous prime is 1540141304089. The next prime is 1540141304129. The reversal of 1540141304112 is 2114031410451.

It is a happy number.

1540141304112 is a `hidden beast` number, since 1 + 540 + 1 + 4 + 1 + 3 + 0 + 4 + 112 = 666.

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, 61130814 + ... + 61156002.

It is an arithmetic number, because the mean of its divisors is an integer number (37081654896).

Almost surely, 21540141304112 is an apocalyptic number.

1540141304112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1540141304112 is an abundant number, since it is smaller than the sum of its proper divisors (2909657283408).

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

1540141304112 is a wasteful number, since it uses less digits than its factorization.

1540141304112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38931 (or 38922 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

Adding to 1540141304112 its reverse (2114031410451), we get a palindrome (3654172714563).

The spelling of 1540141304112 in words is "one trillion, five hundred forty billion, one hundred forty-one million, three hundred four thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 31 36 48 62 72 93 124 144 186 248 279 372 496 558 744 1116 1488 2232 4464 13697 25189 27394 41091 50378 54788 75567 82182 100756 109576 123273 151134 164364 201512 219152 226701 246546 302268 328728 403024 424607 453402 493092 604536 657456 780859 849214 906804 986184 1209072 1273821 1561718 1698428 1813608 1972368 2342577 2547642 3123436 3396856 3627216 3821463 4685154 5095284 6246872 6793712 7027731 7642926 9370308 10190568 12493744 14055462 15285852 18740616 20381136 28110924 30571704 37481232 56221848 61143408 112443696 345013733 690027466 1035041199 1380054932 2070082398 2760109864 3105123597 4140164796 5520219728 6210247194 8280329592 10695425723 12420494388 16560659184 21390851446 24840988776 32086277169 42781702892 49681977552 64172554338 85563405784 96258831507 128345108676 171126811568 192517663014 256690217352 385035326028 513380434704 770070652056 1540141304112