Search a number
-
+
1345445415204 = 22311232181106453
BaseRepresentation
bin10011100101000010110…
…010111100100100100100
311202121211101220202002020
4103211002302330210210
5134020433011241304
62510031124343140
7166130251222302
oct23450262744444
94677741822066
101345445415204
11479666952280
1219890ab44ab0
1399b4b38b477
1449197041272
1524ee89e85d9
hex13942cbc924

1345445415204 has 144 divisors (see below), whose sum is σ = 3599960879424. Its totient is φ = 387825926400.

The previous prime is 1345445415169. The next prime is 1345445415233. The reversal of 1345445415204 is 4025145445431.

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, 12585642 + ... + 12692094.

Almost surely, 21345445415204 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 1345445415204, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1799980439712).

1345445415204 is an abundant number, since it is smaller than the sum of its proper divisors (2254515464220).

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

1345445415204 is a wasteful number, since it uses less digits than its factorization.

1345445415204 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106698 (or 106673 counting only the distinct ones).

The product of its (nonzero) digits is 768000, while the sum is 42.

The spelling of 1345445415204 in words is "one trillion, three hundred forty-five billion, four hundred forty-five million, four hundred fifteen thousand, two hundred four".

Divisors: 1 2 3 4 6 11 12 22 23 33 44 46 66 69 92 132 138 181 253 276 362 506 529 543 724 759 1012 1058 1086 1518 1587 1991 2116 2172 3036 3174 3982 4163 5819 5973 6348 7964 8326 11638 11946 12489 16652 17457 23276 23892 24978 34914 45793 49956 69828 91586 95749 106453 137379 183172 191498 212906 274758 287247 319359 382996 425812 549516 574494 638718 1053239 1148988 1170983 1277436 2106478 2341966 2448419 3159717 3512949 4212956 4683932 4896838 6319434 7025898 7345257 9793676 12638868 14051796 14690514 19267993 26932609 29381028 38535986 53865218 56313637 57803979 77071972 80797827 107730436 112627274 115607958 161595654 168940911 211947923 225254548 231215916 323191308 337881822 423895846 443163839 619450007 635843769 675763644 847791692 886327678 1238900014 1271687538 1329491517 1772655356 1858350021 2477800028 2543375076 2658983034 3716700042 4874802229 5317966068 7433400084 9749604458 10192768297 14624406687 19499208916 20385536594 29248813374 30578304891 40771073188 58497626748 61156609782 112120451267 122313219564 224240902534 336361353801 448481805068 672722707602 1345445415204