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31240043331432 = 233133112012689381
BaseRepresentation
bin1110001101001101000111…
…01011110111111101101000
311002121112000022222212111220
413012212203223313331220
513043314102043101212
6150235251111222040
76403006252654605
oct706464353677550
9132545008885456
1031240043331432
119a54912041791
123606643377920
131457c00a6b4c0
147a0051b216ac
1539295a1aa38c
hex1c69a3af7f68

31240043331432 has 128 divisors (see below), whose sum is σ = 86893286968320. Its totient is φ = 9294497280000.

The previous prime is 31240043331379. The next prime is 31240043331433. The reversal of 31240043331432 is 23413334004213.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 31240043331393 and 31240043331402.

It is not an unprimeable number, because it can be changed into a prime (31240043331433) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10271382 + ... + 12960762.

It is an arithmetic number, because the mean of its divisors is an integer number (678853804440).

Almost surely, 231240043331432 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 31240043331432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43446643484160).

31240043331432 is an abundant number, since it is smaller than the sum of its proper divisors (55653243636888).

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

31240043331432 is a wasteful number, since it uses less digits than its factorization.

31240043331432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2690635 (or 2690631 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 33.

Adding to 31240043331432 its reverse (23413334004213), we get a palindrome (54653377335645).

The spelling of 31240043331432 in words is "thirty-one trillion, two hundred forty billion, forty-three million, three hundred thirty-one thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 13 24 26 31 39 52 62 78 93 104 124 156 186 248 312 372 403 744 806 1201 1209 1612 2402 2418 3224 3603 4804 4836 7206 9608 9672 14412 15613 28824 31226 37231 46839 62452 74462 93678 111693 124904 148924 187356 223386 297848 374712 446772 484003 893544 968006 1452009 1936012 2689381 2904018 3872024 5378762 5808036 8068143 10757524 11616072 16136286 21515048 32272572 34961953 64545144 69923906 83370811 104885859 139847812 166741622 209771718 250112433 279695624 333483244 419543436 500224866 666966488 839086872 1000449732 1083820543 2000899464 2167641086 3229946581 3251461629 4335282172 6459893162 6502923258 8670564344 9689839743 12919786324 13005846516 19379679486 25839572648 26011693032 38759358972 41989305553 77518717944 83978611106 100128344011 125967916659 167957222212 200256688022 251935833318 300385032033 335914444424 400513376044 503871666636 600770064066 801026752088 1007743333272 1201540128132 1301668472143 2403080256264 2603336944286 3905005416429 5206673888572 7810010832858 10413347777144 15620021665716 31240043331432