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232614130320040 = 23574783023212903
BaseRepresentation
bin110100111000111110110010…
…100110111000001010101000
31010111121200201200201100120111
4310320332302212320022220
5220442122214330220130
62142421242313504104
766665546666061340
oct6470766246701250
91114550650640514
10232614130320040
116813310a367327
122210a215712034
139ca45591c9bc1
144162826621d20
151bd5c6248a02a
hexd38fb29b82a8

232614130320040 has 128 divisors (see below), whose sum is σ = 610887457013760. Its totient is φ = 78055228111104.

The previous prime is 232614130319983. The next prime is 232614130320059. The reversal of 232614130320040 is 40023031416232.

It is a happy number.

232614130320040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 232614130319984 and 232614130320011.

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, 1092476229 + ... + 1092689131.

It is an arithmetic number, because the mean of its divisors is an integer number (4772558257920).

Almost surely, 2232614130320040 is an apocalyptic number.

232614130320040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

232614130320040 is an abundant number, since it is smaller than the sum of its proper divisors (378273326693720).

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

232614130320040 is a wasteful number, since it uses less digits than its factorization.

232614130320040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 295991 (or 295987 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 31.

Adding to 232614130320040 its reverse (40023031416232), we get a palindrome (272637161736272).

The spelling of 232614130320040 in words is "two hundred thirty-two trillion, six hundred fourteen billion, one hundred thirty million, three hundred twenty thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 47 56 70 94 140 188 235 280 329 376 470 658 940 1316 1645 1880 2632 3290 6580 13160 83023 166046 212903 332092 415115 425806 581161 664184 830230 851612 1064515 1162322 1490321 1660460 1703224 2129030 2324644 2905805 2980642 3320920 3902081 4258060 4649288 5811610 5961284 7451605 7804162 8516120 10006441 11623220 11922568 14903210 15608324 19510405 20012882 23246440 27314567 29806420 31216648 39020810 40025764 50032205 54629134 59612840 70045087 78041620 80051528 100064410 109258268 136572835 140090174 156083240 200128820 218516536 273145670 280180348 350225435 400257640 546291340 560360696 700450870 1092582680 1400901740 2801803480 17675845769 35351691538 70703383076 88379228845 123730920383 141406766152 176758457690 247461840766 353516915380 494923681532 618654601915 707033830760 830764751143 989847363064 1237309203830 1661529502286 2474618407660 3323059004572 4153823755715 4949236815320 5815353258001 6646118009144 8307647511430 11630706516002 16615295022860 23261413032004 29076766290005 33230590045720 46522826064008 58153532580010 116307065160020 232614130320040