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40240236320 = 2557910929207
BaseRepresentation
bin100101011110100000…
…010100011100100000
310211212102002210202222
4211132200110130200
51124403000030240
630252555530212
72623122236144
oct453640243440
9124772083688
1040240236320
111607a623159
127970459968
133a43a86b2b
141d3a465224
1510a7b3ceb5
hex95e814720

40240236320 has 96 divisors (see below), whose sum is σ = 97157491200. Its totient is φ = 15746006016.

The previous prime is 40240236319. The next prime is 40240236349. The reversal of 40240236320 is 2363204204.

It is a self number, because there is not a number n which added to its sum of digits gives 40240236320.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1363157 + ... + 1392363.

It is an arithmetic number, because the mean of its divisors is an integer number (1012057200).

Almost surely, 240240236320 is an apocalyptic number.

40240236320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40240236320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48578745600).

40240236320 is an abundant number, since it is smaller than the sum of its proper divisors (56917254880).

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

40240236320 is a wasteful number, since it uses less digits than its factorization.

40240236320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29410 (or 29402 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 26.

The spelling of 40240236320 in words is "forty billion, two hundred forty million, two hundred thirty-six thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 79 80 109 158 160 218 316 395 436 545 632 790 872 1090 1264 1580 1744 2180 2528 3160 3488 4360 6320 8611 8720 12640 17222 17440 29207 34444 43055 58414 68888 86110 116828 137776 146035 172220 233656 275552 292070 344440 467312 584140 688880 934624 1168280 1377760 2307353 2336560 3183563 4614706 4673120 6367126 9229412 11536765 12734252 15917815 18458824 23073530 25468504 31835630 36917648 46147060 50937008 63671260 73835296 92294120 101874016 127342520 184588240 251501477 254685040 369176480 503002954 509370080 1006005908 1257507385 2012011816 2515014770 4024023632 5030029540 8048047264 10060059080 20120118160 40240236320