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1138369499136 = 2123255572
BaseRepresentation
bin10000100100001100000…
…111000001000000000000
311000211022221001021112100
4100210030013001000000
5122122340042433021
62230543145030400
7145146600042342
oct20441407010000
94024287037470
101138369499136
113a98639a5661
12164759785400
138346a105b0c
143d1512c1292
151e929261626
hex1090c1c1000

1138369499136 has 117 divisors (see below), whose sum is σ = 3288813386781. Its totient is φ = 379388215296.

The previous prime is 1138369499131. The next prime is 1138369499143. The reversal of 1138369499136 is 6319949638311.

The square root of 1138369499136 is 1066944.

It is a perfect power (a square), and thus also a powerful number.

1138369499136 is a `hidden beast` number, since 1 + 1 + 3 + 8 + 3 + 6 + 9 + 499 + 136 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1072964505600 + 65404993536 = 1035840^2 + 255744^2 .

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (1138369499131) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 204850470 + ... + 204856026.

Almost surely, 21138369499136 is an apocalyptic number.

1138369499136 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

1138369499136 is the 1066944-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1138369499136

1138369499136 is an abundant number, since it is smaller than the sum of its proper divisors (2150443887645).

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

1138369499136 is an frugal number, since it uses more digits than its factorization.

1138369499136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11144 (or 5562 counting only the distinct ones).

The product of its digits is 22674816, while the sum is 63.

The spelling of 1138369499136 in words is "one trillion, one hundred thirty-eight billion, three hundred sixty-nine million, four hundred ninety-nine thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 768 1024 1152 1536 2048 2304 3072 4096 4608 5557 6144 9216 11114 12288 16671 18432 22228 33342 36864 44456 50013 66684 88912 100026 133368 177824 200052 266736 355648 400104 533472 711296 800208 1066944 1422592 1600416 2133888 2845184 3200832 4267776 5690368 6401664 8535552 11380736 12803328 17071104 22761472 25606656 30880249 34142208 51213312 61760498 68284416 92640747 102426624 123520996 185281494 204853248 247041992 277922241 370562988 494083984 555844482 741125976 988167968 1111688964 1482251952 1976335936 2223377928 2964503904 3952671872 4446755856 5929007808 7905343744 8893511712 11858015616 15810687488 17787023424 23716031232 31621374976 35574046848 47432062464 63242749952 71148093696 94864124928 126485499904 142296187392 189728249856 284592374784 379456499712 569184749568 1138369499136