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330231132020440 = 23572625972691587
BaseRepresentation
bin100101100010101111110110…
…1010100010101111011011000
31121022020210021101022112022201
41023011133231110111323120
5321241001324244123230
63130202030540455544
7126362261205010300
oct11305375524257330
91538223241275281
10330231132020440
1196249266a10492
1231055009b4a5b4
131123587b90a7b1
145b793b47c4600
15282a109c945ca
hex12c57ed515ed8

330231132020440 has 96 divisors (see below), whose sum is σ = 864343571451120. Its totient is φ = 113220251596032.

The previous prime is 330231132020407. The next prime is 330231132020441. The reversal of 330231132020440 is 44020231132033.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 330231132020399 and 330231132020408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (330231132020441) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 121344327 + ... + 124035913.

Almost surely, 2330231132020440 is an apocalyptic number.

It is an amenable number.

330231132020440 is an abundant number, since it is smaller than the sum of its proper divisors (534112439430680).

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

330231132020440 is a wasteful number, since it uses less digits than its factorization.

330231132020440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2754209 (or 2754198 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 28.

Adding to 330231132020440 its reverse (44020231132033), we get a palindrome (374251363152473).

The spelling of 330231132020440 in words is "three hundred thirty trillion, two hundred thirty-one billion, one hundred thirty-two million, twenty thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 49 56 70 98 140 196 245 280 392 490 980 1960 62597 125194 250388 312985 438179 500776 625970 876358 1251940 1752716 2190895 2503880 2691587 3067253 3505432 4381790 5383174 6134506 8763580 10766348 12269012 13457935 15336265 17527160 18841109 21532696 24538024 26915870 30672530 37682218 53831740 61345060 75364436 94205545 107663480 122690120 131887763 150728872 188411090 263775526 376822180 527551052 659438815 753644360 1055102104 1318877630 2637755260 5275510520 168485271439 336970542878 673941085756 842426357195 1179396900073 1347882171512 1684852714390 2358793800146 3369705428780 4717587600292 5896984500365 6739410857560 8255778300511 9435175200584 11793969000730 16511556601022 23587938001460 33023113202044 41278891502555 47175876002920 66046226404088 82557783005110 165115566010220 330231132020440