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414031421120 = 26511923108517
BaseRepresentation
bin1100000011001100011…
…00100001111011000000
31110120200120011102020112
412001212030201323000
523240414020433440
6514111534130452
741625041004212
oct6014614417300
91416616142215
10414031421120
1114a653a417a9
12682aa350a28
13300735cbca5
14160798d85b2
15ab83686965
hex6066321ec0

414031421120 has 56 divisors (see below), whose sum is σ = 986004097584. Its totient is φ = 165597152256.

The previous prime is 414031421117. The next prime is 414031421149. The reversal of 414031421120 is 21124130414.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3761102 + ... + 3869618.

Almost surely, 2414031421120 is an apocalyptic number.

414031421120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

414031421120 is an abundant number, since it is smaller than the sum of its proper divisors (571972676464).

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

414031421120 is a wasteful number, since it uses less digits than its factorization.

414031421120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120457 (or 120447 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 23.

Adding to 414031421120 its reverse (21124130414), we get a palindrome (435155551534).

The spelling of 414031421120 in words is "four hundred fourteen billion, thirty-one million, four hundred twenty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 160 320 11923 23846 47692 59615 95384 108517 119230 190768 217034 238460 381536 434068 476920 542585 763072 868136 953840 1085170 1736272 1907680 2170340 3472544 3815360 4340680 6945088 8681360 17362720 34725440 1293848191 2587696382 5175392764 6469240955 10350785528 12938481910 20701571056 25876963820 41403142112 51753927640 82806284224 103507855280 207015710560 414031421120