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332241312040 = 2351137136714929
BaseRepresentation
bin1001101010110110010…
…00000001100100101000
31011202120110122101020021
410311123020001210220
520420412233441130
6412343552210224
733001151361541
oct4653310014450
91152513571207
10332241312040
111189a2617230
1254482b39974
132543a65b141
141211b0dd4c8
158997e6537a
hex4d5b201928

332241312040 has 128 divisors (see below), whose sum is σ = 838210809600. Its totient is φ = 117455892480.

The previous prime is 332241312023. The next prime is 332241312071. The reversal of 332241312040 is 40213142233.

It is a super-2 number, since 2×3322413120402 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 332241311996 and 332241312014.

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, 22247296 + ... + 22262224.

It is an arithmetic number, because the mean of its divisors is an integer number (6548521950).

Almost surely, 2332241312040 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 332241312040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (419105404800).

332241312040 is an abundant number, since it is smaller than the sum of its proper divisors (505969497560).

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

332241312040 is a wasteful number, since it uses less digits than its factorization.

332241312040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16355 (or 16351 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 25.

Adding to 332241312040 its reverse (40213142233), we get a palindrome (372454454273).

The spelling of 332241312040 in words is "three hundred thirty-two billion, two hundred forty-one million, three hundred twelve thousand, forty".

Divisors: 1 2 4 5 8 10 11 20 22 37 40 44 55 74 88 110 148 185 220 296 370 407 440 740 814 1367 1480 1628 2035 2734 3256 4070 5468 6835 8140 10936 13670 14929 15037 16280 27340 29858 30074 50579 54680 59716 60148 74645 75185 101158 119432 120296 149290 150370 164219 202316 252895 298580 300740 328438 404632 505790 552373 556369 597160 601480 656876 821095 1011580 1104746 1112738 1313752 1642190 2023160 2209492 2225476 2761865 2781845 3284380 4418984 4450952 5523730 5563690 6076103 6568760 11047460 11127380 12152206 20407943 22094920 22254760 24304412 30380515 40815886 48608824 60761030 81631772 102039715 121522060 163263544 204079430 224487373 243044120 408158860 448974746 755093891 816317720 897949492 1122436865 1510187782 1795898984 2244873730 3020375564 3775469455 4489747460 6040751128 7550938910 8306032801 8979494920 15101877820 16612065602 30203755640 33224131204 41530164005 66448262408 83060328010 166120656020 332241312040