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315012053061342 = 233713266324072481
BaseRepresentation
bin100011110100000000111010…
…1100001011100111011011110
31112022100212011121020220221000
41013220001311201130323132
5312242124141040430332
63033550312300451130
7123231604223211210
oct10750016541347336
91468325147226830
10315012053061342
119141095267341a
122b3b7543249aa6
13106a0680776a50
1457b0943dbc5b0
1526642be225b7c
hex11e807585cede

315012053061342 has 128 divisors (see below), whose sum is σ = 861894997125120. Its totient is φ = 83048900520960.

The previous prime is 315012053061319. The next prime is 315012053061347. The reversal of 315012053061342 is 243160350210513.

315012053061342 is a `hidden beast` number, since 3 + 1 + 5 + 0 + 1 + 2 + 0 + 5 + 30 + 613 + 4 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 315012053061297 and 315012053061306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (315012053061347) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1049742 + ... + 25122222.

It is an arithmetic number, because the mean of its divisors is an integer number (6733554665040).

Almost surely, 2315012053061342 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 315012053061342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (430947498562560).

315012053061342 is an abundant number, since it is smaller than the sum of its proper divisors (546882944063778).

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

315012053061342 is a wasteful number, since it uses less digits than its factorization.

315012053061342 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24075175 (or 24075169 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The spelling of 315012053061342 in words is "three hundred fifteen trillion, twelve billion, fifty-three million, sixty-one thousand, three hundred forty-two".

Divisors: 1 2 3 6 7 9 13 14 18 21 26 27 39 42 54 63 78 91 117 126 182 189 234 273 351 378 546 702 819 1638 2457 2663 4914 5326 7989 15978 18641 23967 34619 37282 47934 55923 69238 71901 103857 111846 143802 167769 207714 242333 311571 335538 484666 503307 623142 726999 934713 1006614 1453998 1869426 2180997 4361994 6542991 13085982 24072481 48144962 72217443 144434886 168507367 216652329 312942253 337014734 433304658 505522101 625884506 649956987 938826759 1011044202 1299913974 1516566303 1877653518 2190595771 2816480277 3033132606 4381191542 4549698909 5632960554 6571787313 8449440831 9099397818 13143574626 16898881662 19715361939 39430723878 59146085817 64105016903 118292171634 128210033806 192315050709 384630101418 448735118321 576945152127 833365219739 897470236642 1153890304254 1346205354963 1666730439478 1730835456381 2500095659217 2692410709926 3461670912762 4038616064889 5000191318434 5833556538173 7500286977651 8077232129778 11667113076346 12115848194667 15000573955302 17500669614519 22500860932953 24231696389334 35001339229038 45001721865906 52502008843557 105004017687114 157506026530671 315012053061342