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420413114331012 = 2231176940991010411
BaseRepresentation
bin101111110010111010000111…
…0010101101010111110000100
32001010120002201210020000220210
41133211310032111222332010
5420101022024232043022
64050051041330555420
7154360562614563405
oct13745641625527604
92033502653200823
10420413114331012
11111a58222990020
123b19aa65438b70
1315077a2c1322aa
1475b61636759ac
153390d9ad95a0c
hex17e5d0e56af84

420413114331012 has 96 divisors (see below), whose sum is σ = 1071796549824000. Its totient is φ = 127201080729600.

The previous prime is 420413114330983. The next prime is 420413114331053. The reversal of 420413114331012 is 210133411314024.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 415576087 + ... + 416586497.

It is an arithmetic number, because the mean of its divisors is an integer number (11164547394000).

Almost surely, 2420413114331012 is an apocalyptic number.

It is an amenable number.

420413114331012 is an abundant number, since it is smaller than the sum of its proper divisors (651383435492988).

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

420413114331012 is a wasteful number, since it uses less digits than its factorization.

420413114331012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1015297 (or 1015295 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

Adding to 420413114331012 its reverse (210133411314024), we get a palindrome (630546525645036).

The spelling of 420413114331012 in words is "four hundred twenty trillion, four hundred thirteen billion, one hundred fourteen million, three hundred thirty-one thousand, twelve".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 769 1538 2307 3076 4099 4614 8198 8459 9228 12297 16396 16918 24594 25377 33836 45089 49188 50754 90178 101508 135267 180356 270534 541068 1010411 2020822 3031233 3152131 4041644 6062466 6304262 9456393 11114521 12124932 12608524 18912786 22229042 33343563 34673441 37825572 44458084 66687126 69346882 104020323 133374252 138693764 208040646 416081292 777006059 1554012118 2331018177 3108024236 4141674689 4662036354 8283349378 8547066649 9324072708 12425024067 16566698756 17094133298 24850048134 25641199947 34188266596 45558421579 49700096268 51282399894 91116843158 102564799788 136675264737 182233686316 273350529474 546701058948 3184947835841 6369895671682 9554843507523 12739791343364 19109687015046 35034426194251 38219374030092 70068852388502 105103278582753 140137704777004 210206557165506 420413114331012