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31422420304 = 2411226096221
BaseRepresentation
bin11101010000111011…
…000001010101010000
310000002212211100012121
4131100323001111100
51003323114422204
622234003304024
72161451110552
oct352073012520
9100085740177
1031422420304
1112365156500
12610b37b014
132c69c93812
1417413154d2
15c3d94bb54
hex750ec1550

31422420304 has 60 divisors (see below), whose sum is σ = 66955128660. Its totient is φ = 14275148800.

The previous prime is 31422420299. The next prime is 31422420307. The reversal of 31422420304 is 40302422413.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 6748293904 + 24674126400 = 82148^2 + 157080^2 .

It is a super-2 number, since 2×314224203042 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31422420307) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5047914 + ... + 5054134.

It is an arithmetic number, because the mean of its divisors is an integer number (1115918811).

Almost surely, 231422420304 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31422420304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33477564330).

31422420304 is an abundant number, since it is smaller than the sum of its proper divisors (35532708356).

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

31422420304 is a wasteful number, since it uses less digits than its factorization.

31422420304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8860 (or 8843 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 25.

Adding to 31422420304 its reverse (40302422413), we get a palindrome (71724842717).

The spelling of 31422420304 in words is "thirty-one billion, four hundred twenty-two million, four hundred twenty thousand, three hundred four".

Divisors: 1 2 4 8 11 16 22 44 88 121 176 242 484 968 1936 2609 5218 6221 10436 12442 20872 24884 28699 41744 49768 57398 68431 99536 114796 136862 229592 273724 315689 459184 547448 631378 752741 1094896 1262756 1505482 2525512 3010964 5051024 6021928 12043856 16230589 32461178 64922356 129844712 178536479 259689424 357072958 714145916 1428291832 1963901269 2856583664 3927802538 7855605076 15711210152 31422420304