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13431140300040 = 2335457527346447
BaseRepresentation
bin1100001101110010111001…
…0110001011010100001000
31202120000010021001001020020
43003130232112023110020
53230023433404100130
644322103005300440
72554240114602231
oct303345626132410
952500107031206
1013431140300040
114309129606451
12160b065864720
137657219ac7a8
143460dbc62088
15184594d50e10
hexc372e58b508

13431140300040 has 128 divisors (see below), whose sum is σ = 40390118069760. Its totient is φ = 3573045448704.

The previous prime is 13431140300021. The next prime is 13431140300051. The reversal of 13431140300040 is 4000304113431.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 289148097 + ... + 289194543.

It is an arithmetic number, because the mean of its divisors is an integer number (315547797420).

Almost surely, 213431140300040 is an apocalyptic number.

13431140300040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13431140300040 is an abundant number, since it is smaller than the sum of its proper divisors (26958977769720).

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

13431140300040 is a wasteful number, since it uses less digits than its factorization.

13431140300040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52191 (or 52187 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 13431140300040 its reverse (4000304113431), we get a palindrome (17431444413471).

The spelling of 13431140300040 in words is "thirteen trillion, four hundred thirty-one billion, one hundred forty million, three hundred thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 457 914 1371 1828 2285 2742 3656 4570 5273 5484 6855 9140 10546 10968 13710 15819 18280 21092 26365 27420 31638 42184 46447 52730 54840 63276 79095 92894 105460 126552 139341 158190 185788 210920 232235 278682 316380 371576 464470 557364 632760 696705 928940 1114728 1393410 1857880 2409761 2786820 4819522 5573640 7229283 9639044 12048805 14458566 19278088 21226279 24097610 28917132 36146415 42452558 48195220 57834264 63678837 72292830 84905116 96390440 106131395 127357674 144585660 169810232 212262790 244915031 254715348 289171320 318394185 424525580 489830062 509430696 636788370 734745093 849051160 979660124 1224575155 1273576740 1469490186 1959320248 2449150310 2547153480 2938980372 3673725465 4898300620 5877960744 7347450930 9796601240 14694901860 29389803720 111926169167 223852338334 335778507501 447704676668 559630845835 671557015002 895409353336 1119261691670 1343114030004 1678892537505 2238523383340 2686228060008 3357785075010 4477046766680 6715570150020 13431140300040