Search a number
-
+
14972668336320 = 263523678109979
BaseRepresentation
bin1101100111100001100010…
…0100111101100011000000
31222000101002000000000011120
43121320120210331203000
53430303011043230240
651502203205112240
73103511451655662
oct331703044754300
958011060000146
1014972668336320
114852966a37082
1218199783b8680
13847bbb905b16
1439a9769ba532
151ae717e18ad0
hexd9e1893d8c0

14972668336320 has 112 divisors (see below), whose sum is σ = 49605101256960. Its totient is φ = 3819115396096.

The previous prime is 14972668336303. The next prime is 14972668336399. The reversal of 14972668336320 is 2363386627941.

It is a super-2 number, since 2×149726683363202 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

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, 339032910 + ... + 339077069.

Almost surely, 214972668336320 is an apocalyptic number.

14972668336320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14972668336320 is an abundant number, since it is smaller than the sum of its proper divisors (34632432920640).

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

14972668336320 is a wasteful number, since it uses less digits than its factorization.

14972668336320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 678110022 (or 678110012 counting only the distinct ones).

The product of its (nonzero) digits is 47029248, while the sum is 60.

The spelling of 14972668336320 in words is "fourteen trillion, nine hundred seventy-two billion, six hundred sixty-eight million, three hundred thirty-six thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 23 24 30 32 40 46 48 60 64 69 80 92 96 115 120 138 160 184 192 230 240 276 320 345 368 460 480 552 690 736 920 960 1104 1380 1472 1840 2208 2760 3680 4416 5520 7360 11040 22080 678109979 1356219958 2034329937 2712439916 3390549895 4068659874 5424879832 6781099790 8137319748 10171649685 10849759664 13562199580 15596529517 16274639496 20343299370 21699519328 27124399160 31193059034 32549278992 40686598740 43399038656 46789588551 54248798320 62386118068 65098557984 77982647585 81373197480 93579177102 108497596640 124772236136 130197115968 155965295170 162746394960 187158354204 216995193280 233947942755 249544472272 311930590340 325492789920 374316708408 467895885510 499088944544 623861180680 650985579840 748633416816 935791771020 998177889088 1247722361360 1497266833632 1871583542040 2495444722720 2994533667264 3743167084080 4990889445440 7486334168160 14972668336320