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159314106288 = 243294310325841
BaseRepresentation
bin1001010001011111011…
…1000101011110110000
3120020012212121010201010
42110113313011132300
510102233402400123
6201104330110520
714336644363041
oct2242767053660
9506185533633
10159314106288
1161623729057
1226a61b7b440
131203c12915c
1479d47ac8c8
154226654993
hex2517dc57b0

159314106288 has 160 divisors (see below), whose sum is σ = 439901130240. Its totient is φ = 49592954880.

The previous prime is 159314106277. The next prime is 159314106319. The reversal of 159314106288 is 882601413951.

It is a happy number.

It is a super-2 number, since 2×1593141062882 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 6152248 + ... + 6178088.

It is an arithmetic number, because the mean of its divisors is an integer number (2749382064).

Almost surely, 2159314106288 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 159314106288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219950565120).

159314106288 is an abundant number, since it is smaller than the sum of its proper divisors (280587023952).

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

159314106288 is a wasteful number, since it uses less digits than its factorization.

159314106288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26027 (or 26021 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 48.

The spelling of 159314106288 in words is "one hundred fifty-nine billion, three hundred fourteen million, one hundred six thousand, two hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 29 43 48 58 86 87 103 116 129 172 174 206 232 258 309 344 348 412 464 516 618 688 696 824 1032 1236 1247 1392 1648 2064 2472 2494 2987 3741 4429 4944 4988 5974 7482 8858 8961 9976 11948 13287 14964 17716 17922 19952 23896 25841 26574 29928 35432 35844 47792 51682 53148 59856 70864 71688 77523 103364 106296 128441 143376 155046 206728 212592 256882 310092 385323 413456 513764 620184 749389 770646 1027528 1111163 1240368 1498778 1541292 2055056 2222326 2248167 2661623 2997556 3082584 3333489 4444652 4496334 5323246 5995112 6165168 6666978 7984869 8889304 8992668 10646492 11990224 13333956 15969738 17778608 17985336 21292984 26667912 31939476 32223727 35970672 42585968 53335824 63878952 64447454 77187067 96671181 114449789 127757904 128894908 154374134 193342362 228899578 231561201 257789816 308748268 343349367 386684724 457799156 463122402 515579632 617496536 686698734 773369448 915598312 926244804 1234993072 1373397468 1546738896 1831196624 1852489608 2746794936 3319043881 3704979216 5493589872 6638087762 9957131643 13276175524 19914263286 26552351048 39828526572 53104702096 79657053144 159314106288