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320231541650440 = 23577937338812369
BaseRepresentation
bin100100011001111111011011…
…1010010010011010000001000
31112222211211120201212122012211
41020303332313102103100020
5313433133144130303230
63053024201143314504
7124310652062203360
oct11063766722232010
91488754521778184
10320231541650440
119304348592a562
122babb02744ba34
131098b9215b5bb4
145911409c459a0
152704e55cb842a
hex1233fb7493408

320231541650440 has 128 divisors (see below), whose sum is σ = 836111599488000. Its totient is φ = 108113248309248.

The previous prime is 320231541650431. The next prime is 320231541650459. The reversal of 320231541650440 is 44056145132023.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 320231541650393 and 320231541650402.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11155425 + ... + 27656944.

It is an arithmetic number, because the mean of its divisors is an integer number (6532121871000).

Almost surely, 2320231541650440 is an apocalyptic number.

It is an amenable number.

320231541650440 is an abundant number, since it is smaller than the sum of its proper divisors (515880057837560).

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

320231541650440 is a wasteful number, since it uses less digits than its factorization.

320231541650440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38812839 (or 38812835 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 40.

Adding to 320231541650440 its reverse (44056145132023), we get a palindrome (364287686782463).

The spelling of 320231541650440 in words is "three hundred twenty trillion, two hundred thirty-one billion, five hundred forty-one million, six hundred fifty thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 79 140 158 280 316 373 395 553 632 746 790 1106 1492 1580 1865 2212 2611 2765 2984 3160 3730 4424 5222 5530 7460 10444 11060 13055 14920 20888 22120 26110 29467 52220 58934 104440 117868 147335 206269 235736 294670 412538 589340 825076 1031345 1178680 1650152 2062690 4125380 8250760 38812369 77624738 155249476 194061845 271686583 310498952 388123690 543373166 776247380 1086746332 1358432915 1552494760 2173492664 2716865830 3066177151 5433731660 6132354302 10867463320 12264708604 14477013637 15330885755 21463240057 24529417208 28954027274 30661771510 42926480114 57908054548 61323543020 72385068185 85852960228 101339095459 107316200285 115816109096 122647086040 144770136370 171705920456 202678190918 214632400570 289540272740 405356381836 429264801140 506695477295 579080545480 810712763672 858529602280 1013390954590 1143684077323 2026781909180 2287368154646 4053563818360 4574736309292 5718420386615 8005788541261 9149472618584 11436840773230 16011577082522 22873681546460 32023154165044 40028942706305 45747363092920 64046308330088 80057885412610 160115770825220 320231541650440