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1013424040140 = 223547619757991
BaseRepresentation
bin11101011111101001100…
…01111010100011001100
310120212211021010022122220
432233310301322203030
5113100443023241030
62053321030135340
7133134410132211
oct16576461724314
93525737108586
101013424040140
113608774a5a46
121444a97b1550
1374747478165
143709b233b08
151b565029a10
hexebf4c7a8cc

1013424040140 has 96 divisors (see below), whose sum is σ = 2898479130624. Its totient is φ = 264449245440.

The previous prime is 1013424040133. The next prime is 1013424040159. The reversal of 1013424040140 is 410404243101.

It is a self number, because there is not a number n which added to its sum of digits gives 1013424040140.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 17446545 + ... + 17504535.

It is an arithmetic number, because the mean of its divisors is an integer number (30192490944).

Almost surely, 21013424040140 is an apocalyptic number.

1013424040140 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 1013424040140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1449239565312).

1013424040140 is an abundant number, since it is smaller than the sum of its proper divisors (1885055090484).

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

1013424040140 is a wasteful number, since it uses less digits than its factorization.

1013424040140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64247 (or 64245 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 1013424040140 its reverse (410404243101), we get a palindrome (1423828283241).

The spelling of 1013424040140 in words is "one trillion, thirteen billion, four hundred twenty-four million, forty thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 47 60 94 141 188 235 282 470 564 705 940 1410 2820 6197 12394 18591 24788 30985 37182 57991 61970 74364 92955 115982 123940 173973 185910 231964 289955 291259 347946 371820 579910 582518 695892 869865 873777 1159820 1165036 1456295 1739730 1747554 2725577 2912590 3479460 3495108 4368885 5451154 5825180 8176731 8737770 10902308 13627885 16353462 17475540 27255770 32706924 40883655 54511540 81767310 163534620 359370227 718740454 1078110681 1437480908 1796851135 2156221362 3593702270 4312442724 5390553405 7187404540 10781106810 16890400669 21562213620 33780801338 50671202007 67561602676 84452003345 101342404014 168904006690 202684808028 253356010035 337808013380 506712020070 1013424040140