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1042342310412 = 2233131237600169
BaseRepresentation
bin11110010101100000111…
…00010111001000001100
310200122110121221122211000
433022300130113020030
5114034204112413122
62114502341100300
7135210133311114
oct17126034271014
93618417848730
101042342310412
11372067073467
1214a01a3b7690
13773a56b85a0
1438641b38044
151c1a8bcb0ac
hexf2b071720c

1042342310412 has 96 divisors (see below), whose sum is σ = 2912601003200. Its totient is φ = 320460903936.

The previous prime is 1042342310389. The next prime is 1042342310413. The reversal of 1042342310412 is 2140132432401.

1042342310412 is a `hidden beast` number, since 1 + 0 + 4 + 2 + 342 + 310 + 4 + 1 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (1042342310413) 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, 1436664 + ... + 2036832.

Almost surely, 21042342310412 is an apocalyptic number.

1042342310412 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1042342310412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1456300501600).

1042342310412 is an abundant number, since it is smaller than the sum of its proper divisors (1870258692788).

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

1042342310412 is a wasteful number, since it uses less digits than its factorization.

1042342310412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 601432 (or 601424 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 1042342310412 its reverse (2140132432401), we get a palindrome (3182474742813).

The spelling of 1042342310412 in words is "one trillion, forty-two billion, three hundred forty-two million, three hundred ten thousand, four hundred twelve".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 78 108 117 156 234 351 468 702 1237 1404 2474 3711 4948 7422 11133 14844 16081 22266 32162 33399 44532 48243 64324 66798 96486 133596 144729 192972 289458 434187 578916 600169 868374 1200338 1736748 1800507 2400676 3601014 5401521 7202028 7802197 10803042 15604394 16204563 21606084 23406591 31208788 32409126 46813182 64818252 70219773 93626364 140439546 210659319 280879092 421318638 742409053 842637276 1484818106 2227227159 2969636212 4454454318 6681681477 8908908636 9651317689 13363362954 19302635378 20045044431 26726725908 28953953067 38605270756 40090088862 57907906134 80180177724 86861859201 115815812268 173723718402 260585577603 347447436804 521171155206 1042342310412