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31402320848 = 24172513531303
BaseRepresentation
bin11101001111101110…
…010110001111010000
310000001111000011221022
4131033232112033100
51003302443231343
622232004415012
72161115215553
oct351756261720
9100044004838
1031402320848
1112354878488
1261046a7468
132c65a77052
14173c7a269a
15c3bccb568
hex74fb963d0

31402320848 has 80 divisors (see below), whose sum is σ = 64910595456. Its totient is φ = 14665728000.

The previous prime is 31402320847. The next prime is 31402320871. The reversal of 31402320848 is 84802320413.

It is a Cunningham number, because it is equal to 1772072-1.

It is a super-2 number, since 2×314023208482 (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 (31402320847) 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, 24099365 + ... + 24100667.

Almost surely, 231402320848 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 31402320848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32455297728).

31402320848 is an abundant number, since it is smaller than the sum of its proper divisors (33508274608).

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

31402320848 is a wasteful number, since it uses less digits than its factorization.

31402320848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1932 (or 1926 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 35.

The spelling of 31402320848 in words is "thirty-one billion, four hundred two million, three hundred twenty thousand, eight hundred forty-eight".

Divisors: 1 2 4 8 16 17 34 68 136 251 272 353 502 706 1004 1303 1412 2008 2606 2824 4016 4267 5212 5648 6001 8534 10424 12002 17068 20848 22151 24004 34136 44302 48008 68272 88603 88604 96016 177206 177208 327053 354412 354416 459959 654106 708824 919918 1308212 1417648 1506251 1839836 2616424 3012502 3679672 5232848 5559901 6025004 7359344 7819303 11119802 12050008 15638606 22239604 24100016 31277212 44479208 62554424 88958416 115449709 125108848 230899418 461798836 923597672 1847195344 1962645053 3925290106 7850580212 15701160424 31402320848