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31114577740 = 22541163271859
BaseRepresentation
bin11100111110100100…
…101100011101001100
32222022102120022121011
4130332210230131030
51002210312441430
622143245215004
72151022355431
oct347644543514
988272508534
1031114577740
1112217405864
126044261464
132c1b27b15c
14171249db88
15c218de22a
hex73e92c74c

31114577740 has 96 divisors (see below), whose sum is σ = 67672120320. Its totient is φ = 12009254400.

The previous prime is 31114577713. The next prime is 31114577749. The reversal of 31114577740 is 4777541113.

It is a junction number, because it is equal to n+sod(n) for n = 31114577693 and 31114577702.

It is not an unprimeable number, because it can be changed into a prime (31114577749) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 36221431 + ... + 36222289.

It is an arithmetic number, because the mean of its divisors is an integer number (704917920).

Almost surely, 231114577740 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 31114577740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33836060160).

31114577740 is an abundant number, since it is smaller than the sum of its proper divisors (36557542580).

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

31114577740 is a wasteful number, since it uses less digits than its factorization.

31114577740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1343 (or 1341 counting only the distinct ones).

The product of its (nonzero) digits is 82320, while the sum is 40.

The spelling of 31114577740 in words is "thirty-one billion, one hundred fourteen million, five hundred seventy-seven thousand, seven hundred forty".

Divisors: 1 2 4 5 10 20 41 82 163 164 205 271 326 410 542 652 815 820 859 1084 1355 1630 1718 2710 3260 3436 4295 5420 6683 8590 11111 13366 17180 22222 26732 33415 35219 44173 44444 55555 66830 70438 88346 111110 133660 140017 140876 176095 176692 220865 222220 232789 280034 352190 441730 465578 560068 700085 704380 883460 931156 1163945 1400170 1811093 2327890 2800340 3622186 4655780 5740697 7244372 9055465 9544349 11481394 18110930 19088698 22962788 28703485 36221860 37944607 38177396 47721745 57406970 75889214 95443490 114813940 151778428 189723035 190886980 379446070 758892140 1555728887 3111457774 6222915548 7778644435 15557288870 31114577740