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2431454541342 = 231724679662663
BaseRepresentation
bin100011011000011101111…
…110111111011000011110
322121110000020200110221120
4203120131332333120132
5304314104330310332
65100554513111410
7340444465411161
oct43303576773036
98543006613846
102431454541342
118581a07786a2
12333295258566
13148392701748
148597c329ad8
15433ab06a32c
hex2361dfbf61e

2431454541342 has 32 divisors (see below), whose sum is σ = 5151050226432. Its totient is φ = 762499983744.

The previous prime is 2431454541317. The next prime is 2431454541371.

2431454541342 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×24314545413422 (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2431454541294 and 2431454541303.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4579698 + ... + 5082965.

It is an arithmetic number, because the mean of its divisors is an integer number (160970319576).

Almost surely, 22431454541342 is an apocalyptic number.

2431454541342 is an abundant number, since it is smaller than the sum of its proper divisors (2719595685090).

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

2431454541342 is a wasteful number, since it uses less digits than its factorization.

2431454541342 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9665152.

The product of its digits is 921600, while the sum is 42.

The spelling of 2431454541342 in words is "two trillion, four hundred thirty-one billion, four hundred fifty-four million, five hundred forty-one thousand, three hundred forty-two".

Divisors: 1 2 3 6 17 34 51 102 2467 4934 7401 14802 41939 83878 125817 251634 9662663 19325326 28987989 57975978 164265271 328530542 492795813 985591626 23837789621 47675579242 71513368863 143026737726 405242423557 810484847114 1215727270671 2431454541342