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315316553240 = 235134159250673
BaseRepresentation
bin1001001011010100101…
…01001100011000011000
31010010212221201112211202
410211222111030120120
520131232014200430
6400504320013332
731531560323453
oct4455225143030
91103787645752
10315316553240
111117a7a79467
125113aa61248
1323971120070
141139340849a
1583071a1d45
hex496a54c618

315316553240 has 128 divisors (see below), whose sum is σ = 795940084800. Its totient is φ = 111659335680.

The previous prime is 315316553207. The next prime is 315316553267. The reversal of 315316553240 is 42355613513.

It is a junction number, because it is equal to n+sod(n) for n = 315316553194 and 315316553203.

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, 1132544 + ... + 1383216.

Almost surely, 2315316553240 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 315316553240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (397970042400).

315316553240 is an abundant number, since it is smaller than the sum of its proper divisors (480623531560).

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

315316553240 is a wasteful number, since it uses less digits than its factorization.

315316553240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 250797 (or 250793 counting only the distinct ones).

The product of its (nonzero) digits is 162000, while the sum is 38.

The spelling of 315316553240 in words is "three hundred fifteen billion, three hundred sixteen million, five hundred fifty-three thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 13 20 26 40 41 52 59 65 82 104 118 130 164 205 236 260 295 328 410 472 520 533 590 767 820 1066 1180 1534 1640 2132 2360 2419 2665 3068 3835 4264 4838 5330 6136 7670 9676 10660 12095 15340 19352 21320 24190 30680 31447 48380 62894 96760 125788 157235 250673 251576 314470 501346 628940 1002692 1253365 1257880 2005384 2506730 3258749 5013460 6517498 10026920 10277593 13034996 14789707 16293745 20555186 26069992 29579414 32587490 41110372 51387965 59158828 65174980 73948535 82220744 102775930 118317656 130349960 133608709 147897070 192266191 205551860 267217418 295794140 384532382 411103720 534434836 591588280 606377987 668043545 769064764 961330955 1068869672 1212755974 1336087090 1538129528 1922661910 2425511948 2672174180 3031889935 3845323820 4851023896 5344348360 6063779870 7690647640 7882913831 12127559740 15765827662 24255119480 31531655324 39414569155 63063310648 78829138310 157658276620 315316553240