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134305352640 = 2633515544601
BaseRepresentation
bin111110100010100111…
…0010000101111000000
3110211122222012211011000
41331011032100233000
54200024132241030
6141410553452000
712463132442604
oct1750516205700
9424588184130
10134305352640
1151a5a963308
1222042711000
13c884b49484
1467011c7504
153760d03860
hex1f45390bc0

134305352640 has 112 divisors (see below), whose sum is σ = 473799468960. Its totient is φ = 35814758400.

The previous prime is 134305352639. The next prime is 134305352641. The reversal of 134305352640 is 46253503431.

134305352640 is a `hidden beast` number, since 1 + 3 + 4 + 3 + 0 + 5 + 3 + 5 + 2 + 640 = 666.

It is an interprime number because it is at equal distance from previous prime (134305352639) and next prime (134305352641).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 134305352595 and 134305352604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (134305352641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7763661 + ... + 7780940.

Almost surely, 2134305352640 is an apocalyptic number.

134305352640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

134305352640 is an abundant number, since it is smaller than the sum of its proper divisors (339494116320).

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

134305352640 is a wasteful number, since it uses less digits than its factorization.

134305352640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15544627 (or 15544611 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 36.

The spelling of 134305352640 in words is "one hundred thirty-four billion, three hundred five million, three hundred fifty-two thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 64 72 80 90 96 108 120 135 144 160 180 192 216 240 270 288 320 360 432 480 540 576 720 864 960 1080 1440 1728 2160 2880 4320 8640 15544601 31089202 46633803 62178404 77723005 93267606 124356808 139901409 155446010 186535212 233169015 248713616 279802818 310892020 373070424 419704227 466338030 497427232 559605636 621784040 699507045 746140848 839408454 932676060 994854464 1119211272 1243568080 1399014090 1492281696 1678816908 1865352120 2098521135 2238422544 2487136160 2798028180 2984563392 3357633816 3730704240 4197042270 4476845088 4974272320 5596056360 6715267632 7461408480 8394084540 8953690176 11192112720 13430535264 14922816960 16788169080 22384225440 26861070528 33576338160 44768450880 67152676320 134305352640