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240134323661140 = 22561952120673397
BaseRepresentation
bin110110100110011010100001…
…000011110110100101010100
31011111020121122220020001120111
4312212122201003312211110
5222433330043324124030
62210420104012012404
7101403063253556626
oct6646324103664524
91144217586201514
10240134323661140
116a572438466117
1222b23783161104
13a3cb75341332c
1443427c58d0c16
151cb66a14c962a
hexda66a10f6954

240134323661140 has 48 divisors (see below), whose sum is σ = 512602857348624. Its totient is φ = 94469150361600.

The previous prime is 240134323661137. The next prime is 240134323661143. The reversal of 240134323661140 is 41166323431042.

It is an interprime number because it is at equal distance from previous prime (240134323661137) and next prime (240134323661143).

It can be written as a sum of positive squares in 8 ways, for example, as 88622153356356 + 151512170304784 = 9413934^2 + 12309028^2 .

It is a junction number, because it is equal to n+sod(n) for n = 240134323661093 and 240134323661102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (240134323661143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1278922 + ... + 21952318.

It is an arithmetic number, because the mean of its divisors is an integer number (10679226194763).

Almost surely, 2240134323661140 is an apocalyptic number.

240134323661140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

240134323661140 is an abundant number, since it is smaller than the sum of its proper divisors (272468533687484).

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

240134323661140 is a wasteful number, since it uses less digits than its factorization.

240134323661140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20682988 (or 20682986 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 40.

The spelling of 240134323661140 in words is "two hundred forty trillion, one hundred thirty-four billion, three hundred twenty-three million, six hundred sixty-one thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 61 122 244 305 610 1220 9521 19042 38084 47605 95210 190420 580781 1161562 2323124 2903905 5807810 11615620 20673397 41346794 82693588 103366985 206733970 413467940 1261077217 2522154434 5044308868 6305386085 12610772170 25221544340 196831412837 393662825674 787325651348 984157064185 1968314128370 3936628256740 12006716183057 24013432366114 48026864732228 60033580915285 120067161830570 240134323661140