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2140231116 = 2231726167151
BaseRepresentation
bin111111110010001…
…0101010111001100
312112011020000011010
41333210111113030
513340344343431
6552212325220
7104015443602
oct17744252714
95464200133
102140231116
119a9117351
124b8913810
1328153595a
1416435d872
15c7d62846
hex7f9155cc

2140231116 has 144 divisors (see below), whose sum is σ = 5508591872. Its totient is φ = 646272000.

The previous prime is 2140231097. The next prime is 2140231139. The reversal of 2140231116 is 6111320412.

It is a junction number, because it is equal to n+sod(n) for n = 2140231092 and 2140231101.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14173641 + ... + 14173791.

Almost surely, 22140231116 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 2140231116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2754295936).

2140231116 is an abundant number, since it is smaller than the sum of its proper divisors (3368360756).

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

2140231116 is a wasteful number, since it uses less digits than its factorization.

2140231116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 320 (or 301 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

The square root of 2140231116 is about 46262.6319614438. The cubic root of 2140231116 is about 1288.7051317840.

Adding to 2140231116 its reverse (6111320412), we get a palindrome (8251551528).

The spelling of 2140231116 in words is "two billion, one hundred forty million, two hundred thirty-one thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 12 17 34 51 61 67 68 102 122 134 151 183 201 204 244 268 289 302 366 402 453 578 604 732 804 867 906 1037 1139 1156 1734 1812 2074 2278 2567 3111 3417 3468 4087 4148 4556 5134 6222 6834 7701 8174 9211 10117 10268 12261 12444 13668 15402 16348 17629 18422 19363 20234 24522 27633 30351 30804 35258 36844 38726 40468 43639 49044 52887 55266 58089 60702 69479 70516 77452 87278 105774 110532 116178 121404 130917 138958 156587 171989 174556 208437 211548 232356 261834 277916 313174 343978 416874 469761 515967 523668 617137 626348 687956 833748 939522 1031934 1181143 1234274 1851411 1879044 2063868 2362286 2468548 2661979 2923813 3543429 3702822 4724572 5323958 5847626 7086858 7405644 7985937 8771439 10491329 10647916 11695252 14173716 15971874 17542878 20982658 31473987 31943748 35085756 41965316 62947974 125895948 178352593 356705186 535057779 713410372 1070115558 2140231116