Search a number
-
+
420125131054531 = 7229234929699839
BaseRepresentation
bin101111110000110100000000…
…1001100101001110111000011
32001002112120101201212210212201
41133201220001030221313003
5420031312232022221111
64045310453141534031
7154331016253246300
oct13741500114516703
92032476351783781
10420125131054531
11111957081927a91
123b153094414317
1315056825a72196
1475a62444660a7
15338864365c6c1
hex17e1a01329dc3

420125131054531 has 72 divisors (see below), whose sum is σ = 507823275960000. Its totient is φ = 346541521955328.

The previous prime is 420125131054523. The next prime is 420125131054591. The reversal of 420125131054531 is 135450131521024.

It is not a de Polignac number, because 420125131054531 - 23 = 420125131054523 is a prime.

It is a super-2 number, since 2×4201251310545312 (a number of 30 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (420125131054591) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 42699977910 + ... + 42699987748.

It is an arithmetic number, because the mean of its divisors is an integer number (7053101055000).

Almost surely, 2420125131054531 is an apocalyptic number.

420125131054531 is a deficient number, since it is larger than the sum of its proper divisors (87698144905469).

420125131054531 is a wasteful number, since it uses less digits than its factorization.

420125131054531 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13229 (or 13193 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 37.

Adding to 420125131054531 its reverse (135450131521024), we get a palindrome (555575262575555).

The spelling of 420125131054531 in words is "four hundred twenty trillion, one hundred twenty-five billion, one hundred thirty-one million, fifty-four thousand, five hundred thirty-one".

Divisors: 1 7 29 49 203 349 841 1421 2443 2969 5887 9839 10121 17101 20783 41209 68873 70847 86101 145481 285331 293509 482111 495929 602707 1036181 1997317 2054563 2496929 3433811 4218949 7253267 8274599 13981219 14381941 17478503 24036677 29211991 30049249 50772869 57922193 99580519 122349521 168256739 204483937 210344743 405455351 697063633 847147739 871428221 1431387559 1472413201 2887835051 4879445431 5930034173 6099997547 10194984859 20214845357 24567284431 41510239211 42699982829 71364894013 141503917499 171970991017 295654560911 499554258091 1203796937119 2069581926377 8573982266419 14487073484639 60017875864933 420125131054531