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140413433121 = 331317414671229
BaseRepresentation
bin1000001011000101001…
…0101111010100100001
3111102102122122110101000
42002301102233110201
54300031314324441
6144301031102213
713100401326453
oct2026122572441
9442378573330
10140413433121
11546047a4605
1223268211969
1310319427990
146b204cc2d3
1539bc18a2b6
hex20b14af521

140413433121 has 128 divisors (see below), whose sum is σ = 243702950400. Its totient is φ = 79107563520.

The previous prime is 140413433119. The next prime is 140413433137. The reversal of 140413433121 is 121334314041.

140413433121 is a `hidden beast` number, since 1 + 4 + 0 + 4 + 1 + 343 + 312 + 1 = 666.

It is not a de Polignac number, because 140413433121 - 21 = 140413433119 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (140413431121) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 114249535 + ... + 114250763.

It is an arithmetic number, because the mean of its divisors is an integer number (1903929300).

Almost surely, 2140413433121 is an apocalyptic number.

It is an amenable number.

140413433121 is a deficient number, since it is larger than the sum of its proper divisors (103289517279).

140413433121 is a wasteful number, since it uses less digits than its factorization.

140413433121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1776 (or 1770 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 140413433121 its reverse (121334314041), we get a palindrome (261747747162).

The spelling of 140413433121 in words is "one hundred forty billion, four hundred thirteen million, four hundred thirty-three thousand, one hundred twenty-one".

Divisors: 1 3 9 13 17 27 39 41 51 117 123 153 221 351 369 459 467 533 663 697 1107 1229 1401 1599 1989 2091 3687 4203 4797 5967 6071 6273 7939 9061 11061 12609 14391 15977 18213 18819 19147 20893 23817 27183 33183 47931 50389 54639 57441 62679 71451 81549 103207 143793 151167 163917 172323 188037 214353 244647 248911 271609 309621 325499 431379 453501 516969 564111 573943 655057 746733 814827 856613 928863 976497 1360503 1721829 1965171 2240199 2444481 2569839 2786589 2929491 4231487 5165487 5895513 6720597 7333443 7461259 7709517 8788473 9757031 11135969 12694461 15496461 17686539 22383777 23128551 23531663 29271093 33407907 38083383 67151331 70594989 87813279 100223721 114250149 126841403 201453993 211784967 263439837 300671163 305911619 380524209 400038271 635354901 917734857 1141572627 1200114813 2753204571 3424717881 3600344439 5200497523 8259613713 10801033317 15601492569 46804477707 140413433121