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13711700240 = 2457231139421
BaseRepresentation
bin11001100010100011…
…11111000100010000
31022101120222112122122
430301101333010100
5211040143401430
610144333153412
7663534346310
oct146121770420
938346875578
1013711700240
1158a6996377
1227a802b868
1313a69797c4
149410ab440
15553b85ee5
hex33147f110

13711700240 has 160 divisors (see below), whose sum is σ = 38358544896. Its totient is φ = 4456488960.

The previous prime is 13711700239. The next prime is 13711700243. The reversal of 13711700240 is 4200711731.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (13711700243) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1450730 + ... + 1460150.

Almost surely, 213711700240 is an apocalyptic number.

13711700240 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 13711700240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19179272448).

13711700240 is an abundant number, since it is smaller than the sum of its proper divisors (24646844656).

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

13711700240 is a wasteful number, since it uses less digits than its factorization.

13711700240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9577 (or 9571 counting only the distinct ones).

The product of its (nonzero) digits is 1176, while the sum is 26.

The spelling of 13711700240 in words is "thirteen billion, seven hundred eleven million, seven hundred thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 23 28 35 40 46 56 70 80 92 112 113 115 140 161 184 226 230 280 322 368 452 460 560 565 644 791 805 904 920 1130 1288 1582 1610 1808 1840 2260 2576 2599 3164 3220 3955 4520 5198 6328 6440 7910 9040 9421 10396 12656 12880 12995 15820 18193 18842 20792 25990 31640 36386 37684 41584 47105 51980 63280 65947 72772 75368 90965 94210 103960 131894 145544 150736 181930 188420 207920 216683 263788 291088 329735 363860 376840 433366 527576 659470 727720 753680 866732 1055152 1064573 1083415 1318940 1455440 1516781 1733464 2129146 2166830 2637880 3033562 3466928 4258292 4333660 5275760 5322865 6067124 7452011 7583905 8516584 8667320 10645730 12134248 14904022 15167810 17033168 17334640 21291460 24268496 24485179 29808044 30335620 37260055 42582920 48970358 59616088 60671240 74520110 85165840 97940716 119232176 121342480 122425895 149040220 171396253 195881432 244851790 298080440 342792506 391762864 489703580 596160880 685585012 856981265 979407160 1371170024 1713962530 1958814320 2742340048 3427925060 6855850120 13711700240