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134041716360 = 233251093340657
BaseRepresentation
bin111110011010110000…
…0100100011010001000
3110210222121010201011100
41330311200210122020
54144004134410420
6141324455101400
712453451534656
oct1746540443210
9423877121140
10134041716360
1151935066492
1221b8a371860
13c842341086
1466b819bdd6
153747ac9190
hex1f35824688

134041716360 has 96 divisors (see below), whose sum is σ = 436035426840. Its totient is φ = 35711649792.

The previous prime is 134041716329. The next prime is 134041716371. The reversal of 134041716360 is 63617140431.

134041716360 is a `hidden beast` number, since 1 + 3 + 4 + 0 + 4 + 17 + 1 + 636 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 131216368644 + 2825347716 = 362238^2 + 53154^2 .

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

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, 223152 + ... + 563808.

Almost surely, 2134041716360 is an apocalyptic number.

134041716360 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 134041716360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218017713420).

134041716360 is an abundant number, since it is smaller than the sum of its proper divisors (301993710480).

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

134041716360 is a wasteful number, since it uses less digits than its factorization.

134041716360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 341767 (or 341760 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

Adding to 134041716360 its reverse (63617140431), we get a palindrome (197658856791).

The spelling of 134041716360 in words is "one hundred thirty-four billion, forty-one million, seven hundred sixteen thousand, three hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 1093 2186 3279 4372 5465 6558 8744 9837 10930 13116 16395 19674 21860 26232 32790 39348 43720 49185 65580 78696 98370 131160 196740 340657 393480 681314 1021971 1362628 1703285 2043942 2725256 3065913 3406570 4087884 5109855 6131826 6813140 8175768 10219710 12263652 13626280 15329565 20439420 24527304 30659130 40878840 61318260 122636520 372338101 744676202 1117014303 1489352404 1861690505 2234028606 2978704808 3351042909 3723381010 4468057212 5585071515 6702085818 7446762020 8936114424 11170143030 13404171636 14893524040 16755214545 22340286060 26808343272 33510429090 44680572120 67020858180 134041716360