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1330480928160 = 253251815104669
BaseRepresentation
bin10011010111000110110…
…101111101010110100000
311201012012111121001000100
4103113012311331112200
5133244311104200120
62455114155422400
7165060362202216
oct23270665752640
94635174531010
101330480928160
1147328788670a
12195a33454a00
1398604cc77c7
1448577822cb6
152491ed9b490
hex135c6d7d5a0

1330480928160 has 144 divisors (see below), whose sum is σ = 4565351405160. Its totient is φ = 352834652160.

The previous prime is 1330480928143. The next prime is 1330480928219. The reversal of 1330480928160 is 618290840331.

1330480928160 is a `hidden beast` number, since 1 + 3 + 3 + 0 + 480 + 9 + 2 + 8 + 160 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 940100889744 + 390380038416 = 969588^2 + 624804^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 2291695 + ... + 2812974.

Almost surely, 21330480928160 is an apocalyptic number.

1330480928160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1330480928160 is an abundant number, since it is smaller than the sum of its proper divisors (3234870477000).

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

1330480928160 is a wasteful number, since it uses less digits than its factorization.

1330480928160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5104871 (or 5104860 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 1330480928160 in words is "one trillion, three hundred thirty billion, four hundred eighty million, nine hundred twenty-eight thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 181 240 288 360 362 480 543 720 724 905 1086 1440 1448 1629 1810 2172 2715 2896 3258 3620 4344 5430 5792 6516 7240 8145 8688 10860 13032 14480 16290 17376 21720 26064 28960 32580 43440 52128 65160 86880 130320 260640 5104669 10209338 15314007 20418676 25523345 30628014 40837352 45942021 51046690 61256028 76570035 81674704 91884042 102093380 122512056 153140070 163349408 183768084 204186760 229710105 245024112 306280140 367536168 408373520 459420210 490048224 612560280 735072336 816747040 918840420 923945089 1225120560 1470144672 1837680840 1847890178 2450241120 2771835267 3675361680 3695780356 4619725445 5543670534 7350723360 7391560712 8315505801 9239450890 11087341068 13859176335 14783121424 16631011602 18478901780 22174682136 27718352670 29566242848 33262023204 36957803560 41577529005 44349364272 55436705340 66524046408 73915607120 83155058010 88698728544 110873410680 133048092816 147831214240 166310116020 221746821360 266096185632 332620232040 443493642720 665240464080 1330480928160