Search a number
-
+
31402421342004 = 22317229672198419
BaseRepresentation
bin1110010001111011100100…
…01010110100111100110100
311010012001010201212110202110
413020331302022310330310
513103444124330421004
6150442023451411020
76420515163201336
oct710756212647464
9133161121773673
1031402421342004
11a007768208439
123631bbb453a70
13146a30a894c6b
147a7c573ad456
15396cb07c8589
hex1c8f722b4f34

31402421342004 has 48 divisors (see below), whose sum is σ = 77921240846400. Its totient is φ = 9808719315456.

The previous prime is 31402421341979. The next prime is 31402421342009. The reversal of 31402421342004 is 40024312420413.

It is a super-2 number, since 2×314024213420042 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31402421342009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 336052494 + ... + 336145925.

It is an arithmetic number, because the mean of its divisors is an integer number (1623359184300).

Almost surely, 231402421342004 is an apocalyptic number.

31402421342004 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

31402421342004 is an abundant number, since it is smaller than the sum of its proper divisors (46518819504396).

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

31402421342004 is a wasteful number, since it uses less digits than its factorization.

31402421342004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 672198672 (or 672198670 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 30.

Adding to 31402421342004 its reverse (40024312420413), we get a palindrome (71426733762417).

The spelling of 31402421342004 in words is "thirty-one trillion, four hundred two billion, four hundred twenty-one million, three hundred forty-two thousand, four".

Divisors: 1 2 3 4 6 12 17 34 51 68 102 204 229 458 687 916 1374 2748 3893 7786 11679 15572 23358 46716 672198419 1344396838 2016595257 2688793676 4033190514 8066381028 11427373123 22854746246 34282119369 45709492492 68564238738 137128477476 153933437951 307866875902 461800313853 615733751804 923600627706 1847201255412 2616868445167 5233736890334 7850605335501 10467473780668 15701210671002 31402421342004