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1236116004140 = 22519107191159169
BaseRepresentation
bin10001111111001110010…
…000010101110100101100
311101011122001100012210102
4101333032100111310230
5130223031144113030
62343510331530232
7155210051446523
oct21771620256454
94334561305712
101236116004140
114372632935a6
1217b6988b9978
138c746aa3a64
1443b84d3b4ba
152224a713c45
hex11fce415d2c

1236116004140 has 96 divisors (see below), whose sum is σ = 2772461260800. Its totient is φ = 461612666880.

The previous prime is 1236116004049. The next prime is 1236116004157. The reversal of 1236116004140 is 414006116321.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7686476 + ... + 7845644.

It is an arithmetic number, because the mean of its divisors is an integer number (28879804800).

Almost surely, 21236116004140 is an apocalyptic number.

1236116004140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1236116004140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1386230630400).

1236116004140 is an abundant number, since it is smaller than the sum of its proper divisors (1536345256660).

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

1236116004140 is a wasteful number, since it uses less digits than its factorization.

1236116004140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159495 (or 159493 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 29.

The spelling of 1236116004140 in words is "one trillion, two hundred thirty-six billion, one hundred sixteen million, four thousand, one hundred forty".

Divisors: 1 2 4 5 10 19 20 38 76 95 107 190 191 214 380 382 428 535 764 955 1070 1910 2033 2140 3629 3820 4066 7258 8132 10165 14516 18145 20330 20437 36290 40660 40874 72580 81748 102185 159169 204370 318338 388303 408740 636676 776606 795845 1553212 1591690 1941515 3024211 3183380 3883030 6048422 7766060 12096844 15121055 17031083 30242110 30401279 34062166 60484220 60802558 68124332 85155415 121605116 152006395 170310830 304012790 323590577 340621660 577624301 608025580 647181154 1155248602 1294362308 1617952885 2310497204 2888121505 3235905770 3252936853 5776243010 6471811540 6505873706 11552486020 13011747412 16264684265 32529368530 61805800207 65058737060 123611600414 247223200828 309029001035 618058002070 1236116004140