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31242251325444 = 223171013457438623
BaseRepresentation
bin1110001101010001001110…
…10010101101000000000100
311002121201201012201120212220
413012220213102231000010
513043333112314403234
6150240254144212340
76403115053420125
oct706504722550004
9132551635646786
1031242251325444
119a55845431325
123606b5a90a0b0
13145819333b633
147a01c108004c
15392a38e55a49
hex1c6a274ad004

31242251325444 has 96 divisors (see below), whose sum is σ = 77973690203136. Its totient is φ = 9701616844800.

The previous prime is 31242251325431. The next prime is 31242251325469. The reversal of 31242251325444 is 44452315224213.

It is a junction number, because it is equal to n+sod(n) for n = 31242251325396 and 31242251325405.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 71008717 + ... + 71447339.

It is an arithmetic number, because the mean of its divisors is an integer number (812225939616).

Almost surely, 231242251325444 is an apocalyptic number.

31242251325444 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31242251325444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38986845101568).

31242251325444 is an abundant number, since it is smaller than the sum of its proper divisors (46731438877692).

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

31242251325444 is a wasteful number, since it uses less digits than its factorization.

31242251325444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 442205 (or 442203 counting only the distinct ones).

The product of its digits is 921600, while the sum is 42.

Adding to 31242251325444 its reverse (44452315224213), we get a palindrome (75694566549657).

The spelling of 31242251325444 in words is "thirty-one trillion, two hundred forty-two billion, two hundred fifty-one million, three hundred twenty-five thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 12 17 34 51 68 101 102 202 204 303 404 606 1212 1717 3434 3457 5151 6868 6914 10302 10371 13828 20604 20742 41484 58769 117538 176307 235076 349157 352614 438623 698314 705228 877246 1047471 1315869 1396628 1754492 2094942 2631738 4189884 5263476 5935669 7456591 11871338 14913182 17807007 22369773 23742676 29826364 35614014 44300923 44739546 71228028 88601846 89479092 132902769 177203692 265805538 531611076 753115691 1506231382 1516319711 2259347073 3012462764 3032639422 4518694146 4548959133 6065278844 9037388292 9097918266 18195836532 25777435087 51554870174 77332305261 103109740348 153148290811 154664610522 306296581622 309329221044 459444872433 612593163244 918889744866 1837779489732 2603520943787 5207041887574 7810562831361 10414083775148 15621125662722 31242251325444