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1140798627744 = 25317257771263
BaseRepresentation
bin10000100110011100111…
…001011001111110100000
311001001121012212210112120
4100212130321121332200
5122142323422041434
62232024201424240
7145264024225056
oct20463471317640
94031535783476
101140798627744
113aa8a00a2966
1216511719b080
138376644cc19
143d301b641d6
151ea1c63d349
hex1099ce59fa0

1140798627744 has 144 divisors (see below), whose sum is σ = 3186668959488. Its totient is φ = 357272322048.

The previous prime is 1140798627737. The next prime is 1140798627781. The reversal of 1140798627744 is 4477268970411.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15972657 + ... + 16043919.

It is an arithmetic number, because the mean of its divisors is an integer number (22129645552).

Almost surely, 21140798627744 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1140798627744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1593334479744).

1140798627744 is an abundant number, since it is smaller than the sum of its proper divisors (2045870331744).

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

1140798627744 is a wasteful number, since it uses less digits than its factorization.

1140798627744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71887 (or 71862 counting only the distinct ones).

The product of its (nonzero) digits is 18966528, while the sum is 60.

The spelling of 1140798627744 in words is "one trillion, one hundred forty billion, seven hundred ninety-eight million, six hundred twenty-seven thousand, seven hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 68 96 102 136 204 272 289 408 544 577 578 816 867 1154 1156 1632 1731 1734 2308 2312 3462 3468 4616 4624 6924 6936 9232 9248 9809 13848 13872 18464 19618 27696 27744 29427 39236 55392 58854 71263 78472 117708 142526 156944 166753 213789 235416 285052 313888 333506 427578 470832 500259 570104 667012 855156 941664 1000518 1140208 1211471 1334024 1710312 2001036 2280416 2422942 2668048 3420624 3634413 4002072 4845884 5336096 6841248 7268826 8004144 9691768 14537652 16008288 19383536 20595007 29075304 38767072 41118751 41190014 58150608 61785021 82237502 82380028 116301216 123356253 123570042 164475004 164760056 246712506 247140084 328950008 329520112 493425012 494280168 657900016 659040224 699018767 986850024 988560336 1315800032 1398037534 1973700048 1977120672 2097056301 2796075068 3947400096 4194112602 5592150136 8388225204 11184300272 11883319039 16776450408 22368600544 23766638078 33552900816 35649957117 47533276156 67105801632 71299914234 95066552312 142599828468 190133104624 285199656936 380266209248 570399313872 1140798627744