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10232441343992 = 23731139317133769
BaseRepresentation
bin1001010011100110110100…
…0010000000111111111000
31100020012201102121222001202
42110321231002000333320
52320122014441001432
633432415121433332
72104161302230160
oct224715502007770
940205642558052
1010232441343992
11329561041a10a
121193147a9b848
13592bb857291a
1427537799b5a0
1512b2814d2462
hex94e6d080ff8

10232441343992 has 128 divisors (see below), whose sum is σ = 22868891136000. Its totient is φ = 4200015559680.

The previous prime is 10232441343989. The next prime is 10232441344019. The reversal of 10232441343992 is 29934314423201.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 76426484 + ... + 76560252.

It is an arithmetic number, because the mean of its divisors is an integer number (178663212000).

Almost surely, 210232441343992 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 10232441343992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11434445568000).

10232441343992 is an abundant number, since it is smaller than the sum of its proper divisors (12636449792008).

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

10232441343992 is a wasteful number, since it uses less digits than its factorization.

10232441343992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134269 (or 134265 counting only the distinct ones).

The product of its (nonzero) digits is 1119744, while the sum is 47.

The spelling of 10232441343992 in words is "ten trillion, two hundred thirty-two billion, four hundred forty-one million, three hundred forty-three thousand, nine hundred ninety-two".

Divisors: 1 2 4 7 8 14 28 31 56 62 124 139 217 248 278 317 434 556 634 868 973 1112 1268 1736 1946 2219 2536 3892 4309 4438 7784 8618 8876 9827 17236 17752 19654 30163 34472 39308 44063 60326 68789 78616 88126 120652 133769 137578 176252 241304 267538 275156 308441 352504 535076 550312 616882 936383 1070152 1233764 1365953 1872766 2467528 2731906 3745532 4146839 5463812 7491064 8293678 9561671 10927624 16587356 18593891 19123342 29027873 33174712 37187782 38246684 42404773 58055746 74375564 76493368 84809546 116111492 130157237 148751128 169619092 232222984 260314474 296833411 339238184 520628948 576410621 593666822 1041257896 1152821242 1187333644 1314547963 2305642484 2374667288 2629095926 4034874347 4611284968 5258191852 5894263447 8069748694 9201835741 10516383704 11788526894 16139497388 18403671482 23577053788 32278994776 36807342964 41259844129 47154107576 73614685928 82519688258 165039376516 182722166857 330078753032 365444333714 730888667428 1279055167999 1461777334856 2558110335998 5116220671996 10232441343992