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134524230240 = 2535299664097
BaseRepresentation
bin111110101001001000…
…1001101101001100000
3110212020020001221202210
41331102101031221200
54201001200331430
6141444413042120
712501431042661
oct1752221155140
9425206057683
10134524230240
115206246a294
12220a3a86340
13c8bb2b304a
1467222c1368
15377513b2b0
hex1f5244da60

134524230240 has 96 divisors (see below), whose sum is σ = 438363485280. Its totient is φ = 34636120064.

The previous prime is 134524230229. The next prime is 134524230277. The reversal of 134524230240 is 42032425431.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 134524230198 and 134524230207.

It is a congruent number.

It is an unprimeable number.

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, 4818129 + ... + 4845968.

It is an arithmetic number, because the mean of its divisors is an integer number (4566286305).

Almost surely, 2134524230240 is an apocalyptic number.

134524230240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

134524230240 is an abundant number, since it is smaller than the sum of its proper divisors (303839255040).

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

134524230240 is a wasteful number, since it uses less digits than its factorization.

134524230240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9664144 (or 9664136 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 30.

Adding to 134524230240 its reverse (42032425431), we get a palindrome (176556655671).

The spelling of 134524230240 in words is "one hundred thirty-four billion, five hundred twenty-four million, two hundred thirty thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 29 30 32 40 48 58 60 80 87 96 116 120 145 160 174 232 240 290 348 435 464 480 580 696 870 928 1160 1392 1740 2320 2784 3480 4640 6960 13920 9664097 19328194 28992291 38656388 48320485 57984582 77312776 96640970 115969164 144961455 154625552 193281940 231938328 280258813 289922910 309251104 386563880 463876656 560517626 579845820 773127760 840776439 927753312 1121035252 1159691640 1401294065 1546255520 1681552878 2242070504 2319383280 2802588130 3363105756 4203882195 4484141008 4638766560 5605176260 6726211512 8407764390 8968282016 11210352520 13452423024 16815528780 22420705040 26904846048 33631057560 44841410080 67262115120 134524230240