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420114405661139 = 71937106380312093
BaseRepresentation
bin101111110000101111000000…
…1111010100001100111010011
32001002111112201021011101002102
41133201132001322201213103
5420031123300322124024
64045301521003311015
7154330156420021640
oct13741360172414723
92032445637141072
10420114405661139
111119525786aa202
123b150ba051b46b
13150558069c4367
1475a5907c38dc7
153388216c631ae
hex17e1781ea19d3

420114405661139 has 32 divisors (see below), whose sum is σ = 519548573537280. Its totient is φ = 331613125345152.

The previous prime is 420114405661103. The next prime is 420114405661169. The reversal of 420114405661139 is 931166504411024.

It is a de Polignac number, because none of the positive numbers 2k-420114405661139 is a prime.

It is a super-2 number, since 2×4201144056611392 (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 420114405661093 and 420114405661102.

It is not an unprimeable number, because it can be changed into a prime (420114405661169) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 34925024 + ... + 45387069.

It is an arithmetic number, because the mean of its divisors is an integer number (16235892923040).

Almost surely, 2420114405661139 is an apocalyptic number.

420114405661139 is a deficient number, since it is larger than the sum of its proper divisors (99434167876141).

420114405661139 is a wasteful number, since it uses less digits than its factorization.

420114405661139 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80313219.

The product of its (nonzero) digits is 622080, while the sum is 47.

The spelling of 420114405661139 in words is "four hundred twenty trillion, one hundred fourteen billion, four hundred five million, six hundred sixty-one thousand, one hundred thirty-nine".

Divisors: 1 7 19 37 133 259 703 1063 4921 7441 20197 39331 141379 275317 747289 5231023 80312093 562184651 1525929767 2971547441 10681508369 20800832087 56459401379 85371754859 395215809653 597602284013 1622063342321 3158754929783 11354443396247 22111284508481 60016343665877 420114405661139