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5140110331044 = 223213199523105529
BaseRepresentation
bin100101011001100011001…
…1100110100110010100100
3200012101112010102101220100
41022303012130310302210
51133203421221043134
614533200055104100
71040234503632243
oct112630634646244
920171463371810
105140110331044
1117019aa308a87
126b0230672030
132b39307761b0
1413aad58d495a
158da8ce88999
hex4acc6734ca4

5140110331044 has 144 divisors (see below), whose sum is σ = 14089859056000. Its totient is φ = 1570601083392.

The previous prime is 5140110331001. The next prime is 5140110331087. The reversal of 5140110331044 is 4401330110415.

5140110331044 is a `hidden beast` number, since 51 + 401 + 103 + 3 + 104 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (5140110331001) and next prime (5140110331087).

It is a junction number, because it is equal to n+sod(n) for n = 5140110330999 and 5140110331017.

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, 48655272 + ... + 48760800.

Almost surely, 25140110331044 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 5140110331044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7044929528000).

5140110331044 is an abundant number, since it is smaller than the sum of its proper divisors (8949748724956).

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

5140110331044 is a wasteful number, since it uses less digits than its factorization.

5140110331044 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106274 (or 106269 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

Adding to 5140110331044 its reverse (4401330110415), we get a palindrome (9541440441459).

The spelling of 5140110331044 in words is "five trillion, one hundred forty billion, one hundred ten million, three hundred thirty-one thousand, forty-four".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 199 234 398 468 523 597 796 1046 1194 1569 1791 2092 2388 2587 3138 3582 4707 5174 6276 6799 7164 7761 9414 10348 13598 15522 18828 20397 23283 27196 31044 40794 46566 61191 81588 93132 104077 105529 122382 208154 211058 244764 312231 316587 416308 422116 624462 633174 936693 949761 1248924 1266348 1353001 1371877 1873386 1899522 2706002 2743754 3746772 3799044 4059003 4115631 5412004 5487508 8118006 8231262 12177009 12346893 16236012 16462524 21000271 24354018 24693786 42000542 48708036 49387572 55191667 63000813 84001084 110383334 126001626 165575001 189002439 220766668 252003252 273003523 331150002 378004878 496725003 546007046 662300004 717491671 756009756 819010569 993450006 1092014092 1434983342 1638021138 1986900012 2152475013 2457031707 2869966684 3276042276 4304950026 4914063414 6457425039 8609900052 9828126828 10983141733 12914850078 21966283466 25829700156 32949425199 43932566932 65898850398 98848275597 131797700796 142780842529 197696551194 285561685058 395393102388 428342527587 571123370116 856685055174 1285027582761 1713370110348 2570055165522 5140110331044