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2401014565680 = 243582112185417
BaseRepresentation
bin100010111100000111100…
…111101100101100110000
322111112102211111111102120
4202330013213230230300
5303314234212100210
65035002202514240
7335316244033353
oct42740747545460
98445384444376
102401014565680
118462a0145415
123293bab05980
1314555113c623
14842d16b229a
15426c89d3270
hex22f079ecb30

2401014565680 has 80 divisors (see below), whose sum is σ = 7452211715424. Its totient is φ = 639490631680.

The previous prime is 2401014565669. The next prime is 2401014565699. The reversal of 2401014565680 is 865654101042.

2401014565680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

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, 5895669 + ... + 6289748.

Almost surely, 22401014565680 is an apocalyptic number.

2401014565680 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2401014565680 is an abundant number, since it is smaller than the sum of its proper divisors (5051197149744).

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

2401014565680 is a wasteful number, since it uses less digits than its factorization.

2401014565680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12186254 (or 12186248 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 42.

The spelling of 2401014565680 in words is "two trillion, four hundred one billion, fourteen million, five hundred sixty-five thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 821 1642 2463 3284 4105 4926 6568 8210 9852 12315 13136 16420 19704 24630 32840 39408 49260 65680 98520 197040 12185417 24370834 36556251 48741668 60927085 73112502 97483336 121854170 146225004 182781255 194966672 243708340 292450008 365562510 487416680 584900016 731125020 974833360 1462250040 2924500080 10004227357 20008454714 30012682071 40016909428 50021136785 60025364142 80033818856 100042273570 120050728284 150063410355 160067637712 200084547140 240101456568 300126820710 400169094280 480202913136 600253641420 800338188560 1200507282840 2401014565680