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31136366140 = 225112197241271
BaseRepresentation
bin11100111111110111…
…110011111000111100
32222100221120021122221
4130333313303320330
51002231402204030
622145344215124
72151405513445
oct347767637074
988327507587
1031136366140
1112228737800
12604b60a4a4
132c229395b9
1417153322cc
15c23794e7a
hex73fdf3e3c

31136366140 has 144 divisors (see below), whose sum is σ = 72803187072. Its totient is φ = 11176704000.

The previous prime is 31136366089. The next prime is 31136366141. The reversal of 31136366140 is 4166363113.

It is a junction number, because it is equal to n+sod(n) for n = 31136366096 and 31136366105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31136366141) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 114894205 + ... + 114894475.

It is an arithmetic number, because the mean of its divisors is an integer number (505577688).

Almost surely, 231136366140 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 31136366140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36401593536).

31136366140 is an abundant number, since it is smaller than the sum of its proper divisors (41666820932).

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

31136366140 is a wasteful number, since it uses less digits than its factorization.

31136366140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 740 (or 727 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 34.

The spelling of 31136366140 in words is "thirty-one billion, one hundred thirty-six million, three hundred sixty-six thousand, one hundred forty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 121 197 220 241 242 271 394 482 484 542 605 788 964 985 1084 1205 1210 1355 1970 2167 2410 2420 2651 2710 2981 3940 4334 4820 5302 5420 5962 8668 10604 10835 11924 13255 14905 21670 23837 26510 29161 29810 32791 43340 47477 47674 53020 53387 58322 59620 65311 65582 94954 95348 106774 116644 119185 130622 131164 145805 163955 189908 213548 237385 238370 261244 266935 291610 326555 327910 474770 476740 522247 533870 583220 587257 653110 655820 718421 949540 1044494 1067740 1174514 1306220 1436842 2088988 2349028 2611235 2873684 2936285 3592105 5222470 5744717 5872570 6459827 7184210 7902631 10444940 11489434 11745140 12866267 12919654 14368420 15805262 22978868 25732534 25839308 28723585 31610524 32299135 39513155 51465068 57447170 64331335 64598270 79026310 114894340 128662670 129196540 141528937 158052620 257325340 283057874 566115748 707644685 1415289370 1556818307 2830578740 3113636614 6227273228 7784091535 15568183070 31136366140