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330240142401040 = 24525433067529273
BaseRepresentation
bin100101100010110100000011…
…0011000001101111000010000
31121022021122112022221021211201
41023011220012120031320100
5321241123302423313130
63130210121012320544
7126363030404664424
oct11305500630157020
91538248468837751
10330240142401040
1196252070051823
1231056903613154
1311236686583951
145b799cb33cb84
15282a485d21bca
hex12c5a0660de10

330240142401040 has 80 divisors (see below), whose sum is σ = 768362156460288. Its totient is φ = 132000809407488.

The previous prime is 330240142401019. The next prime is 330240142401097. The reversal of 330240142401040 is 40104241042033.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 623685844 + ... + 624215116.

Almost surely, 2330240142401040 is an apocalyptic number.

It is an amenable number.

330240142401040 is an abundant number, since it is smaller than the sum of its proper divisors (438122014059248).

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

330240142401040 is a wasteful number, since it uses less digits than its factorization.

330240142401040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 534896 (or 534890 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 330240142401040 its reverse (40104241042033), we get a palindrome (370344383443073).

The spelling of 330240142401040 in words is "three hundred thirty trillion, two hundred forty billion, one hundred forty-two million, four hundred one thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 2543 3067 5086 6134 10172 12268 12715 15335 20344 24536 25430 30670 40688 49072 50860 61340 101720 122680 203440 245360 529273 1058546 2117092 2646365 4234184 5292730 7799381 8468368 10585460 15598762 21170920 31197524 38996905 42341840 62395048 77993810 124790096 155987620 311975240 623950480 1345941239 1623280291 2691882478 3246560582 5383764956 6493121164 6729706195 8116401455 10767529912 12986242328 13459412390 16232802910 21535059824 25972484656 26918824780 32465605820 53837649560 64931211640 107675299120 129862423280 4128001780013 8256003560026 16512007120052 20640008900065 33024014240104 41280017800130 66048028480208 82560035600260 165120071200520 330240142401040