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1231412442 = 23131729311033
BaseRepresentation
bin100100101100101…
…1101110011011010
310011211010020022020
41021121131303122
510010220144232
6322105235310
742341555511
oct11131356332
93154106266
101231412442
11582111437
122a4492b36
13168172320
14b9789678
1573192e2c
hex4965dcda

1231412442 has 128 divisors (see below), whose sum is σ = 3001743360. Its totient is φ = 332881920.

The previous prime is 1231412407. The next prime is 1231412449. The reversal of 1231412442 is 2442141321.

It is not an unprimeable number, because it can be changed into a prime (1231412449) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1191558 + ... + 1192590.

It is an arithmetic number, because the mean of its divisors is an integer number (23451120).

Almost surely, 21231412442 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1231412442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1500871680).

1231412442 is an abundant number, since it is smaller than the sum of its proper divisors (1770330918).

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

1231412442 is a wasteful number, since it uses less digits than its factorization.

1231412442 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1128.

The product of its digits is 1536, while the sum is 24.

The square root of 1231412442 is about 35091.4867453632. The cubic root of 1231412442 is about 1071.8512343916.

Adding to 1231412442 its reverse (2442141321), we get a palindrome (3673553763).

The spelling of 1231412442 in words is "one billion, two hundred thirty-one million, four hundred twelve thousand, four hundred forty-two".

Divisors: 1 2 3 6 13 17 26 29 31 34 39 51 58 62 78 87 93 102 174 186 221 377 403 442 493 527 663 754 806 899 986 1033 1054 1131 1209 1326 1479 1581 1798 2066 2262 2418 2697 2958 3099 3162 5394 6198 6409 6851 11687 12818 13429 13702 15283 17561 19227 20553 23374 26858 29957 30566 32023 35061 35122 38454 40287 41106 45849 52683 59914 64046 70122 80574 89871 91698 96069 105366 179742 192138 198679 228293 389441 397358 416299 456586 509269 544391 596037 684879 778882 832598 928667 1018538 1088782 1168323 1192074 1248897 1369758 1527807 1633173 1857334 2336646 2497794 2786001 3055614 3266346 5572002 6620497 7077083 12072671 13240994 14154166 15787339 19861491 21231249 24145342 31574678 36218013 39722982 42462498 47362017 72436026 94724034 205235407 410470814 615706221 1231412442