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4012040320401 = 3374118131115661
BaseRepresentation
bin111010011000100000001…
…111001111010110010001
3112012112202222200100110210
4322120200033033112101
51011213124310223101
612311034511514333
7562601046021051
oct72304017172621
915175688610423
104012040320401
111307551192593
125496882289a9
13231445409889
14dc280455561
156e5680427d6
hex3a6203cf591

4012040320401 has 64 divisors (see below), whose sum is σ = 5677616835072. Its totient is φ = 2516624640000.

The previous prime is 4012040320381. The next prime is 4012040320429. The reversal of 4012040320401 is 1040230402104.

It is not a de Polignac number, because 4012040320401 - 210 = 4012040319377 is a prime.

It is not an unprimeable number, because it can be changed into a prime (4012040320441) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 256172511 + ... + 256188171.

It is an arithmetic number, because the mean of its divisors is an integer number (88712763048).

Almost surely, 24012040320401 is an apocalyptic number.

4012040320401 is a gapful number since it is divisible by the number (41) formed by its first and last digit.

It is an amenable number.

4012040320401 is a deficient number, since it is larger than the sum of its proper divisors (1665576514671).

4012040320401 is a wasteful number, since it uses less digits than its factorization.

4012040320401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16234.

The product of its (nonzero) digits is 768, while the sum is 21.

Adding to 4012040320401 its reverse (1040230402104), we get a palindrome (5052270722505).

The spelling of 4012040320401 in words is "four trillion, twelve billion, forty million, three hundred twenty thousand, four hundred one".

Divisors: 1 3 37 41 111 123 181 311 543 933 1517 4551 6697 7421 11507 12751 15661 20091 22263 34521 38253 46983 56291 168873 274577 471787 579457 642101 823731 1415361 1738371 1926303 2082767 2307931 2834641 4870571 6248301 6923793 8503923 14611713 23757737 71273211 85393447 104881717 116220281 180211127 199693411 256180341 314645151 348660843 540633381 599080233 881573351 2644720053 4300150397 7388656207 12900451191 22165968621 32618213987 36144507391 97854641961 108433522173 1337346773467 4012040320401