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10140311420 = 22531109181829
BaseRepresentation
bin10010111000110100…
…01101111101111100
3222011200210012012122
421130122031331330
5131231404431140
64354114022112
7506200140101
oct113432157574
928150705178
1010140311420
114333a3a068
121b6bb77938
13c57aa6495
146c2a48aa8
153e5376ab5
hex25c68df7c

10140311420 has 96 divisors (see below), whose sum is σ = 22332710400. Its totient is φ = 3863116800.

The previous prime is 10140311411. The next prime is 10140311437. The reversal of 10140311420 is 2411304101.

It is a happy number.

It is a congruent number.

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, 12231566 + ... + 12232394.

It is an arithmetic number, because the mean of its divisors is an integer number (232632400).

Almost surely, 210140311420 is an apocalyptic number.

10140311420 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 10140311420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11166355200).

10140311420 is an abundant number, since it is smaller than the sum of its proper divisors (12192398980).

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

10140311420 is a wasteful number, since it uses less digits than its factorization.

10140311420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1159 (or 1157 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 17.

Adding to 10140311420 its reverse (2411304101), we get a palindrome (12551615521).

The spelling of 10140311420 in words is "ten billion, one hundred forty million, three hundred eleven thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 31 62 109 124 155 181 218 310 362 436 545 620 724 829 905 1090 1658 1810 2180 3316 3379 3620 4145 5611 6758 8290 11222 13516 16580 16895 19729 22444 25699 28055 33790 39458 51398 56110 67580 78916 90361 98645 102796 112220 128495 150049 180722 197290 256990 300098 361444 394580 451805 513980 600196 611599 750245 903610 1223198 1500490 1807220 2446396 2801191 3000980 3057995 4651519 5602382 6115990 9303038 11204764 12231980 14005955 16355341 18606076 23257595 28011910 32710682 46515190 56023820 65421364 81776705 93030380 163553410 327106820 507015571 1014031142 2028062284 2535077855 5070155710 10140311420