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315014042206640 = 2457746097539641
BaseRepresentation
bin100011110100000001110110…
…0000101011100000110110000
31112022101001022020011222022002
41013220003230011130012300
5312242142224301103030
63033551241515033132
7123232004425523510
oct10750035405340660
91468331266158262
10315014042206640
1191411783476757
122b3b79b943b7a8
13106a09098c04ba
1457b0a9224d840
152664388b92245
hex11e80ec15c1b0

315014042206640 has 80 divisors (see below), whose sum is σ = 837048642154560. Its totient is φ = 108003352535040.

The previous prime is 315014042206579. The next prime is 315014042206657. The reversal of 315014042206640 is 46602240410513.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 315014042206594 and 315014042206603.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 38011220 + ... + 45550860.

It is an arithmetic number, because the mean of its divisors is an integer number (10463108026932).

Almost surely, 2315014042206640 is an apocalyptic number.

It is an amenable number.

315014042206640 is an abundant number, since it is smaller than the sum of its proper divisors (522034599947920).

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

315014042206640 is a wasteful number, since it uses less digits than its factorization.

315014042206640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7614270 (or 7614264 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 38.

The spelling of 315014042206640 in words is "three hundred fifteen trillion, fourteen billion, forty-two million, two hundred six thousand, six hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 280 560 74609 149218 298436 373045 522263 596872 746090 1044526 1193744 1492180 2089052 2611315 2984360 4178104 5222630 5968720 7539641 8356208 10445260 15079282 20890520 30158564 37698205 41781040 52777487 60317128 75396410 105554974 120634256 150792820 211109948 263887435 301585640 422219896 527774870 603171280 844439792 1055549740 2111099480 4222198960 562525075369 1125050150738 2250100301476 2812625376845 3937675527583 4500200602952 5625250753690 7875351055166 9000401205904 11250501507380 15750702110332 19688377637915 22501003014760 31501404220664 39376755275830 45002006029520 63002808441328 78753510551660 157507021103320 315014042206640