Search a number
-
+
20315123044146 = 2337257521401381
BaseRepresentation
bin1001001111001111110111…
…01100010100111100110010
32122221002212212001202221000
410213213323230110330302
510130320332444403041
6111112345542342430
74164501454504050
oct447477354247462
978832785052830
1020315123044146
116522660387227
12234125972aa16
13b449282b0078
14503385a931d0
1525369a061bb6
hex1279fbb14f32

20315123044146 has 128 divisors (see below), whose sum is σ = 51894261342720. Its totient is φ = 5770624204800.

The previous prime is 20315123044133. The next prime is 20315123044157. The reversal of 20315123044146 is 64144032151302.

20315123044146 is a `hidden beast` number, since 2 + 0 + 3 + 1 + 5 + 1 + 230 + 4 + 414 + 6 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 20315123044146.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 50412376 + ... + 50813756.

It is an arithmetic number, because the mean of its divisors is an integer number (405423916740).

Almost surely, 220315123044146 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20315123044146, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25947130671360).

20315123044146 is an abundant number, since it is smaller than the sum of its proper divisors (31579138298574).

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

20315123044146 is a wasteful number, since it uses less digits than its factorization.

20315123044146 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 402177 (or 402171 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

Adding to 20315123044146 its reverse (64144032151302), we get a palindrome (84459155195448).

The spelling of 20315123044146 in words is "twenty trillion, three hundred fifteen billion, one hundred twenty-three million, forty-four thousand, one hundred forty-six".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 126 189 257 378 514 521 771 1042 1542 1563 1799 2313 3126 3598 3647 4626 4689 5397 6939 7294 9378 10794 10941 13878 14067 16191 21882 28134 32382 32823 48573 65646 97146 98469 133897 196938 267794 401381 401691 802762 803382 937279 1204143 1205073 1874558 2408286 2410146 2809667 2811837 3612429 3615219 5619334 5623674 7224858 7230438 8429001 8435511 10837287 16858002 16871022 21674574 25287003 25306533 50574006 50613066 75861009 103154917 151722018 206309834 209119501 309464751 418239002 618929502 627358503 722084419 928394253 1254717006 1444168838 1463836507 1856788506 1882075509 2166253257 2785182759 2927673014 3764151018 4332506514 4391509521 5570365518 5646226527 6498759771 8783019042 11292453054 12997519542 13174528563 19496279313 26349057126 38992558626 39523585689 53743711757 79047171378 107487423514 161231135271 322462270542 376205982299 483693405813 752411964598 967386811626 1128617946897 1451080217439 2257235893794 2902160434878 3385853840691 6771707681382 10157561522073 20315123044146