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31421164415454 = 23311443960112437
BaseRepresentation
bin1110010010011110011110…
…10101111110100111011110
311010020211111222021020221000
413021033033111332213132
513104301021042243304
6150454403400451130
76422050513533342
oct711171725764736
9133224458236830
1031421164415454
11a014706189990
123635770479aa6
13146c006a36378
147a8b14787622
1539750b011939
hex1c93cf57e9de

31421164415454 has 128 divisors (see below), whose sum is σ = 76358557647360. Its totient is φ = 9498318336000.

The previous prime is 31421164415441. The next prime is 31421164415479. The reversal of 31421164415454 is 45451446112413.

31421164415454 is a `hidden beast` number, since 3 + 1 + 4 + 2 + 1 + 1 + 64 + 41 + 545 + 4 = 666.

It is a super-2 number, since 2×314211644154542 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2526420124 + ... + 2526432560.

It is an arithmetic number, because the mean of its divisors is an integer number (596551231620).

Almost surely, 231421164415454 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31421164415454, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38179278823680).

31421164415454 is an abundant number, since it is smaller than the sum of its proper divisors (44937393231906).

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

31421164415454 is a wasteful number, since it uses less digits than its factorization.

31421164415454 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22503 (or 22497 counting only the distinct ones).

The product of its digits is 921600, while the sum is 45.

The spelling of 31421164415454 in words is "thirty-one trillion, four hundred twenty-one billion, one hundred sixty-four million, four hundred fifteen thousand, four hundred fifty-four".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 99 198 297 443 594 886 1329 2658 3987 4873 7974 9601 9746 11961 12437 14619 19202 23922 24874 28803 29238 37311 43857 57606 74622 86409 87714 105611 111933 131571 136807 172818 211222 223866 259227 263142 273614 316833 335799 410421 518454 633666 671598 820842 950499 1231263 1900998 2462526 2851497 3693789 4253243 5509591 5702994 7387578 8506486 11019182 12759729 16528773 25519458 33057546 38279187 46785673 49586319 60605501 76558374 93571346 99172638 114837561 119407637 121211002 140357019 148758957 181816503 229675122 238815274 280714038 297517914 358222911 363633006 421071057 545449509 716445822 842142114 1074668733 1090899018 1263213171 1313484007 1636348527 2149337466 2526426342 2626968014 3224006199 3272697054 3940452021 6448012398 7880904042 11821356063 23642712126 35464068189 52897583191 70928136378 105795166382 158692749573 317385499146 476078248719 581873415101 952156497438 1163746830202 1428234746157 1745620245303 2856469492314 3491240490606 5236860735909 10473721471818 15710582207727 31421164415454