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402234131420 = 2251121725138953
BaseRepresentation
bin1011101101001110000…
…01011100001111011100
31102110020101111000010222
411312213001130033130
523042233414201140
6504441145220512
741026510463462
oct5664701341734
91373211430128
10402234131420
1114564a754400
1265b57491738
132bc134602b4
141567aba6832
15a6e2b085b5
hex5da705c3dc

402234131420 has 144 divisors (see below), whose sum is σ = 987020191584. Its totient is φ = 137111040000.

The previous prime is 402234131399. The next prime is 402234131441. The reversal of 402234131420 is 24131432204.

It is an interprime number because it is at equal distance from previous prime (402234131399) and next prime (402234131441).

It is a self number, because there is not a number n which added to its sum of digits gives 402234131420.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10306664 + ... + 10345616.

It is an arithmetic number, because the mean of its divisors is an integer number (6854306886).

Almost surely, 2402234131420 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 402234131420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (493510095792).

402234131420 is an abundant number, since it is smaller than the sum of its proper divisors (584786060164).

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

402234131420 is a wasteful number, since it uses less digits than its factorization.

402234131420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39252 (or 39239 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 26.

Adding to 402234131420 its reverse (24131432204), we get a palindrome (426365563624).

The spelling of 402234131420 in words is "four hundred two billion, two hundred thirty-four million, one hundred thirty-one thousand, four hundred twenty".

Divisors: 1 2 4 5 10 11 17 20 22 34 44 55 68 85 110 121 170 187 220 242 251 340 374 484 502 605 748 935 1004 1210 1255 1870 2057 2420 2510 2761 3740 4114 4267 5020 5522 8228 8534 10285 11044 13805 17068 20570 21335 27610 30371 38953 41140 42670 46937 55220 60742 77906 85340 93874 121484 151855 155812 187748 194765 234685 303710 389530 428483 469370 516307 607420 662201 779060 856966 938740 1032614 1324402 1713932 2065228 2142415 2581535 2648804 3311005 4284830 4713313 5163070 6622010 7284211 8569660 9426626 9777203 10326140 13244020 14568422 18853252 19554406 23566565 29136844 36421055 39108812 47133130 48886015 72842110 80126321 94266260 97772030 107549233 145684220 160252642 166212451 195544060 215098466 320505284 332424902 400631605 430196932 537746165 664849804 801263210 831062255 1075492330 1183041563 1602526420 1662124510 1828336961 2150984660 2366083126 3324249020 3656673922 4732166252 5915207815 7313347844 9141684805 11830415630 18283369610 20111706571 23660831260 36566739220 40223413142 80446826284 100558532855 201117065710 402234131420