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31411342134 = 2336773118931
BaseRepresentation
bin11101010000010000…
…110000101100110110
310000002002222111211000
4131100100300230312
51003312300422014
622232530024130
72161255000644
oct352020605466
9100062874730
1031411342134
111235997a297
126107718046
132c678b52a3
14173da70194
15c3c9ae509
hex750430b36

31411342134 has 64 divisors (see below), whose sum is σ = 71815898880. Its totient is φ = 10172796480.

The previous prime is 31411342129. The next prime is 31411342139. The reversal of 31411342134 is 43124311413.

31411342134 is a `hidden beast` number, since 3 + 1 + 411 + 34 + 213 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (31411342129) and next prime (31411342139).

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

It is a junction number, because it is equal to n+sod(n) for n = 31411342098 and 31411342107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31411342139) 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, 204649 + ... + 323579.

It is an arithmetic number, because the mean of its divisors is an integer number (1122123420).

Almost surely, 231411342134 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31411342134, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35907949440).

31411342134 is an abundant number, since it is smaller than the sum of its proper divisors (40404556746).

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

31411342134 is a wasteful number, since it uses less digits than its factorization.

31411342134 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119082 (or 119076 counting only the distinct ones).

The product of its digits is 3456, while the sum is 27.

Adding to 31411342134 its reverse (43124311413), we get a palindrome (74535653547).

The spelling of 31411342134 in words is "thirty-one billion, four hundred eleven million, three hundred forty-two thousand, one hundred thirty-four".

Divisors: 1 2 3 6 9 18 27 54 67 73 134 146 201 219 402 438 603 657 1206 1314 1809 1971 3618 3942 4891 9782 14673 29346 44019 88038 118931 132057 237862 264114 356793 713586 1070379 2140758 3211137 6422274 7968377 8681963 15936754 17363926 23905131 26045889 47810262 52091778 71715393 78137667 143430786 156275334 215146179 234413001 430292358 468826002 581691521 1163383042 1745074563 3490149126 5235223689 10470447378 15705671067 31411342134