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23422411310312 = 2372232923089027
BaseRepresentation
bin1010101001101011101001…
…00000011000010011101000
310001221011100010010200020202
411110311310200120103220
511032223044243412222
6121452035054011332
74635133121125100
oct524656440302350
9101834303120222
1023422411310312
117510430622273
1227635061a6b48
13100b954575621
145ad917964200
152a940d79b892
hex154d748184e8

23422411310312 has 144 divisors (see below), whose sum is σ = 55209950321760. Its totient is φ = 9270636557952.

The previous prime is 23422411310299. The next prime is 23422411310339. The reversal of 23422411310312 is 21301311422432.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 6037943 + ... + 9126969.

It is an arithmetic number, because the mean of its divisors is an integer number (383402432790).

Almost surely, 223422411310312 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 23422411310312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27604975160880).

23422411310312 is an abundant number, since it is smaller than the sum of its proper divisors (31787539011448).

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

23422411310312 is a wasteful number, since it uses less digits than its factorization.

23422411310312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3089128 (or 3089088 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 29.

Adding to 23422411310312 its reverse (21301311422432), we get a palindrome (44723722732744).

The spelling of 23422411310312 in words is "twenty-three trillion, four hundred twenty-two billion, four hundred eleven million, three hundred ten thousand, three hundred twelve".

Divisors: 1 2 4 7 8 14 23 28 29 46 49 56 58 92 98 116 161 184 196 203 232 322 392 406 644 667 812 841 1127 1288 1334 1421 1624 1682 2254 2668 2842 3364 4508 4669 5336 5684 5887 6728 9016 9338 11368 11774 18676 19343 23548 32683 37352 38686 41209 47096 65366 77372 82418 130732 135401 154744 164836 261464 270802 329672 541604 947807 1083208 1895614 3089027 3791228 6178054 7582456 12356108 21623189 24712216 43246378 71047621 86492756 89581783 142095242 151362323 172985512 179163566 284190484 302724646 358327132 497333347 568380968 605449292 627072481 716654264 994666694 1210898584 1254144962 1989333388 2060381009 2508289924 2597871707 3481333429 3978666776 4120762018 4389507367 5016579848 5195743414 6962666858 8241524036 8779014734 10391486828 13925333716 14422667063 16483048072 17558029468 18185101949 20782973656 27850667432 28845334126 35116058936 36370203898 57690668252 59751049261 72740407796 100958669441 115381336504 119502098522 127295713643 145480815592 201917338882 239004197044 254591427286 403834677764 418257344827 478008394088 509182854572 807669355528 836514689654 1018365709144 1673029379308 2927801413789 3346058758616 5855602827578 11711205655156 23422411310312