Search a number
-
+
31214120322342 = 231941241271102253
BaseRepresentation
bin1110001100011100110101…
…00011011100010100100110
311002112001002201021120021010
413012032122203130110212
513042403004300303332
6150215322515203050
76401101000013616
oct706163243342446
9132461081246233
1031214120322342
119a4491a198331
1236016098a6486
13145562c243679
1479cab2d4ca46
15391e3e4639cc
hex1c639a8dc526

31214120322342 has 128 divisors (see below), whose sum is σ = 67846134343680. Its totient is φ = 9541338624000.

The previous prime is 31214120322197. The next prime is 31214120322373. The reversal of 31214120322342 is 24322302141213.

It is a happy number.

It is a congruent number.

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, 305212488 + ... + 305314740.

It is an arithmetic number, because the mean of its divisors is an integer number (530047924560).

Almost surely, 231214120322342 is an apocalyptic number.

31214120322342 is an abundant number, since it is smaller than the sum of its proper divisors (36632014021338).

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

31214120322342 is a wasteful number, since it uses less digits than its factorization.

31214120322342 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102830.

The product of its (nonzero) digits is 13824, while the sum is 30.

Adding to 31214120322342 its reverse (24322302141213), we get a palindrome (55536422463555).

The spelling of 31214120322342 in words is "thirty-one trillion, two hundred fourteen billion, one hundred twenty million, three hundred twenty-two thousand, three hundred forty-two".

Divisors: 1 2 3 6 19 38 41 57 82 114 123 241 246 271 482 542 723 779 813 1446 1558 1626 2337 4579 4674 5149 9158 9881 10298 11111 13737 15447 19762 22222 27474 29643 30894 33333 59286 65311 66666 102253 130622 187739 195933 204506 211109 306759 375478 391866 422218 563217 613518 633327 1126434 1240909 1266654 1942807 2481818 2677751 3722727 3885614 4192373 5355502 5828421 7445454 8033253 8384746 11656842 12577119 16066506 24642973 25154238 27710563 49285946 50877269 55421126 73928919 79655087 83131689 101754538 147857838 152631807 159310174 166263378 238965261 305263614 468216487 477930522 526500697 936432974 1010361893 1053001394 1136133083 1404649461 1579502091 2020723786 2272266166 2809298922 3031085679 3159004182 3408399249 6062171358 6678245683 6816798498 13356491366 19196875967 20034737049 21586528577 38393751934 40069474098 43173057154 57590627901 64759585731 115181255802 126886667977 129519171462 253773335954 273808073003 380660003931 547616146006 761320007862 821424219009 1642848438018 5202353387057 10404706774114 15607060161171 31214120322342