Search a number
-
+
14991543768240 = 24325131601660659
BaseRepresentation
bin1101101000100111110110…
…1001000001010010110000
31222002011210110110022000200
43122021331221001102300
53431110140201040430
651515004203115200
73105050300333514
oct332117551012260
958064713408020
1014991543768240
11485a9726a0496
121821565812b00
1384990930a350
1439b8477aa144
151aee70099460
hexda27da414b0

14991543768240 has 120 divisors (see below), whose sum is σ = 54219416662320. Its totient is φ = 3690226156032.

The previous prime is 14991543768233. The next prime is 14991543768269. The reversal of 14991543768240 is 4286734519941.

14991543768240 is a `hidden beast` number, since 1 + 4 + 9 + 9 + 1 + 543 + 7 + 6 + 82 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 800820970 + ... + 800839689.

It is an arithmetic number, because the mean of its divisors is an integer number (451828472186).

It is a 1-persistent number, because it is pandigital, but 2⋅14991543768240 = 29983087536480 is not.

Almost surely, 214991543768240 is an apocalyptic number.

14991543768240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14991543768240 is an abundant number, since it is smaller than the sum of its proper divisors (39227872894080).

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

14991543768240 is a wasteful number, since it uses less digits than its factorization.

14991543768240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1601660691 (or 1601660682 counting only the distinct ones).

The product of its (nonzero) digits is 52254720, while the sum is 63.

The spelling of 14991543768240 in words is "fourteen trillion, nine hundred ninety-one billion, five hundred forty-three million, seven hundred sixty-eight thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 13 15 16 18 20 24 26 30 36 39 40 45 48 52 60 65 72 78 80 90 104 117 120 130 144 156 180 195 208 234 240 260 312 360 390 468 520 585 624 720 780 936 1040 1170 1560 1872 2340 3120 4680 9360 1601660659 3203321318 4804981977 6406642636 8008303295 9609963954 12813285272 14414945931 16016606590 19219927908 20821588567 24024909885 25626570544 28829891862 32033213180 38439855816 41643177134 48049819770 57659783724 62464765701 64066426360 72074729655 76879711632 83286354268 96099639540 104107942835 115319567448 124929531402 128132852720 144149459310 166572708536 187394297103 192199279080 208215885670 230639134896 249859062804 288298918620 312323828505 333145417072 374788594206 384398558160 416431771340 499718125608 576597837240 624647657010 749577188412 832863542680 936971485515 999436251216 1153195674480 1249295314020 1499154376824 1665727085360 1873942971030 2498590628040 2998308753648 3747885942060 4997181256080 7495771884120 14991543768240