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31444401320 = 2358930728771
BaseRepresentation
bin11101010010001110…
…110111110010101000
310000011102012002111022
4131102032313302220
51003344231320240
622240110352012
72162136000263
oct352216676250
9100142162438
1031444401320
11123765aa132
1261167bb608
132c716bb837
1417441d7cda
15c4083e9b5
hex7523b7ca8

31444401320 has 64 divisors (see below), whose sum is σ = 71780385600. Its totient is φ = 12395496960.

The previous prime is 31444401319. The next prime is 31444401343. The reversal of 31444401320 is 2310444413.

It is a self number, because there is not a number n which added to its sum of digits gives 31444401320.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1078535 + ... + 1107305.

It is an arithmetic number, because the mean of its divisors is an integer number (1121568525).

Almost surely, 231444401320 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 31444401320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35890192800).

31444401320 is an abundant number, since it is smaller than the sum of its proper divisors (40335984280).

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

31444401320 is a wasteful number, since it uses less digits than its factorization.

31444401320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29178 (or 29174 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 26.

Adding to 31444401320 its reverse (2310444413), we get a palindrome (33754845733).

The spelling of 31444401320 in words is "thirty-one billion, four hundred forty-four million, four hundred one thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 89 178 307 356 445 614 712 890 1228 1535 1780 2456 3070 3560 6140 12280 27323 28771 54646 57542 109292 115084 136615 143855 218584 230168 273230 287710 546460 575420 1092920 1150840 2560619 5121238 8832697 10242476 12803095 17665394 20484952 25606190 35330788 44163485 51212380 70661576 88326970 102424760 176653940 353307880 786110033 1572220066 3144440132 3930550165 6288880264 7861100330 15722200660 31444401320