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14960148161472 = 263317350043313
BaseRepresentation
bin1101100110110010111001…
…0100010010001111000000
31221222011202110002020002000
43121230232110102033000
53430101340412131342
651452332554224000
73102556263150333
oct331545624221700
957864673066060
1014960148161472
114848621699438
121817463425000
13846974a74337
1439a109c7461a
151ae233b9744c
hexd9b2e5123c0

14960148161472 has 112 divisors (see below), whose sum is σ = 44234286110880. Its totient is φ = 4957891006464.

The previous prime is 14960148161471. The next prime is 14960148161489. The reversal of 14960148161472 is 27416184106941.

14960148161472 is a `hidden beast` number, since 1 + 4 + 9 + 6 + 0 + 1 + 4 + 8 + 161 + 472 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14960148161471) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24722713 + ... + 25320600.

Almost surely, 214960148161472 is an apocalyptic number.

14960148161472 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

14960148161472 is an abundant number, since it is smaller than the sum of its proper divisors (29274137949408).

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

14960148161472 is a wasteful number, since it uses less digits than its factorization.

14960148161472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50043507 (or 50043491 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 54.

The spelling of 14960148161472 in words is "fourteen trillion, nine hundred sixty billion, one hundred forty-eight million, one hundred sixty-one thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 144 173 192 216 288 346 432 519 576 692 864 1038 1384 1557 1728 2076 2768 3114 4152 4671 5536 6228 8304 9342 11072 12456 16608 18684 24912 33216 37368 49824 74736 99648 149472 298944 50043313 100086626 150129939 200173252 300259878 400346504 450389817 600519756 800693008 900779634 1201039512 1351169451 1601386016 1801559268 2402079024 2702338902 3202772032 3603118536 4804158048 5404677804 7206237072 8657493149 9608316096 10809355608 14412474144 17314986298 21618711216 25972479447 28824948288 34629972596 43237422432 51944958894 69259945192 77917438341 86474844864 103889917788 138519890384 155834876682 207779835576 233752315023 277039780768 311669753364 415559671152 467504630046 554079561536 623339506728 831119342304 935009260092 1246679013456 1662238684608 1870018520184 2493358026912 3740037040368 4986716053824 7480074080736 14960148161472