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31434411340422 = 23279433367113907
BaseRepresentation
bin1110010010110111001001…
…11010111111001010000110
311010022002201011200202202200
413021123210322333022012
513110010133300343142
6150504434052215330
76423030005535006
oct711334472771206
9133262634622680
1031434411340422
11a01a293787762
12363824890a546
131470338311bcc
147a960dc2c006
15397a33e8b64c
hex1c96e4ebf286

31434411340422 has 96 divisors (see below), whose sum is σ = 69153103918080. Its totient is φ = 10318056203520.

The previous prime is 31434411340417. The next prime is 31434411340447. The reversal of 31434411340422 is 22404311443413.

31434411340422 is a `hidden beast` number, since 3 + 1 + 43 + 44 + 113 + 40 + 422 = 666.

It is a super-2 number, since 2×314344113404222 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

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, 2260323193 + ... + 2260337099.

It is an arithmetic number, because the mean of its divisors is an integer number (720344832480).

Almost surely, 231434411340422 is an apocalyptic number.

31434411340422 is an abundant number, since it is smaller than the sum of its proper divisors (37718692577658).

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

31434411340422 is a wasteful number, since it uses less digits than its factorization.

31434411340422 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18098 (or 18095 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

Adding to 31434411340422 its reverse (22404311443413), we get a palindrome (53838722783835).

The spelling of 31434411340422 in words is "thirty-one trillion, four hundred thirty-four billion, four hundred eleven million, three hundred forty thousand, four hundred twenty-two".

Divisors: 1 2 3 6 9 18 79 158 237 433 474 711 866 1299 1422 2598 3671 3897 7342 7794 11013 13907 22026 27814 33039 34207 41721 66078 68414 83442 102621 125163 205242 250326 290009 307863 580018 615726 870027 1098653 1589543 1740054 2197306 2610081 3179086 3295959 4768629 5220162 6021731 6591918 9537258 9887877 12043462 14305887 18065193 19775754 28611774 36130386 51052597 54195579 102105194 108391158 125573897 153157791 251147794 306315582 376721691 459473373 475716749 753443382 918946746 951433498 1130165073 1427150247 2260330146 2854300494 4033155163 4281450741 8066310326 8562901482 12099465489 22105774501 24198930978 36298396467 44211549002 66317323503 72596792934 132634647006 198951970509 397903941018 1746356185579 3492712371158 5239068556737 10478137113474 15717205670211 31434411340422