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31481064141688 = 23753151290324197
BaseRepresentation
bin1110010100001110000011…
…01001010011001101111000
311010110120010111011121221001
413022013001221103031320
513111241204410013223
6150542111243454344
76426301055025610
oct712070151231570
9133416114147831
1031481064141688
11a038053aa8867
1236452a88273b4
131474861785265
147ab997bb7a40
15398d64a589ad
hex1ca1c1a53378

31481064141688 has 128 divisors (see below), whose sum is σ = 69214116280320. Its totient is φ = 13144583462400.

The previous prime is 31481064141649. The next prime is 31481064141697. The reversal of 31481064141688 is 88614146018413.

It is a congruent number.

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, 1301019606 + ... + 1301043802.

It is an arithmetic number, because the mean of its divisors is an integer number (540735283440).

Almost surely, 231481064141688 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 31481064141688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34607058140160).

31481064141688 is an abundant number, since it is smaller than the sum of its proper divisors (37733052138632).

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

31481064141688 is a wasteful number, since it uses less digits than its factorization.

31481064141688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27317 (or 27313 counting only the distinct ones).

The product of its (nonzero) digits is 3538944, while the sum is 55.

The spelling of 31481064141688 in words is "thirty-one trillion, four hundred eighty-one billion, sixty-four million, one hundred forty-one thousand, six hundred eighty-eight".

Divisors: 1 2 4 7 8 14 28 53 56 106 151 212 302 371 424 604 742 1057 1208 1484 2114 2903 2968 4228 5806 8003 8456 11612 16006 20321 23224 24197 32012 40642 48394 56021 64024 81284 96788 112042 153859 162568 169379 193576 224084 307718 338758 438353 448168 615436 677516 876706 1077013 1230872 1282441 1355032 1753412 2154026 2564882 3068471 3506824 3653747 4308052 5129764 6136942 7307494 8616104 8977087 10259528 12273884 14614988 17954174 23232709 24547768 25576229 29229976 35908348 46465418 51152458 70243891 71816696 92930836 102304916 140487782 162628963 185861672 193648591 204609832 280975564 325257926 387297182 491707237 561951128 650515852 774594364 983414474 1301031704 1355540137 1549188728 1966828948 2711080274 3722926223 3933657896 5422160548 7445852446 10606827541 10844321096 14891704892 21213655082 26060483561 29783409784 42427310164 52120967122 74247792787 84854620328 104241934244 148495585574 208483868488 296991171148 562161859673 593982342296 1124323719346 2248647438692 3935133017711 4497294877384 7870266035422 15740532070844 31481064141688