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134300413660 = 22572354776249
BaseRepresentation
bin111110100010011101…
…1011010111011011100
3110211122121220220010211
41331010323122323130
54200021401214120
6141410255542204
712463042452340
oct1750473327334
9424577826124
10134300413660
1151a5809a606
1222040b2a964
13c883b0a3ba
14670069d620
15376067a25a
hex1f44edaedc

134300413660 has 96 divisors (see below), whose sum is σ = 336954240000. Its totient is φ = 43962766848.

The previous prime is 134300413649. The next prime is 134300413669. The reversal of 134300413660 is 66314003431.

It is a happy number.

It is a super-2 number, since 2×1343004136602 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (134300413669) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1723216 + ... + 1799464.

It is an arithmetic number, because the mean of its divisors is an integer number (3509940000).

Almost surely, 2134300413660 is an apocalyptic number.

134300413660 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 134300413660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168477120000).

134300413660 is an abundant number, since it is smaller than the sum of its proper divisors (202653826340).

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

134300413660 is a wasteful number, since it uses less digits than its factorization.

134300413660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76835 (or 76833 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 31.

The spelling of 134300413660 in words is "one hundred thirty-four billion, three hundred million, four hundred thirteen thousand, six hundred sixty".

Divisors: 1 2 4 5 7 10 14 20 23 28 35 46 70 92 115 140 161 230 322 460 547 644 805 1094 1610 2188 2735 3220 3829 5470 7658 10940 12581 15316 19145 25162 38290 50324 62905 76249 76580 88067 125810 152498 176134 251620 304996 352268 381245 440335 533743 762490 880670 1067486 1524980 1753727 1761340 2134972 2668715 3507454 5337430 7014908 8768635 10674860 12276089 17537270 24552178 35074540 41708203 49104356 61380445 83416406 122760890 166832812 208541015 245521780 291957421 417082030 583914842 834164060 959288669 1167829684 1459787105 1918577338 2919574210 3837154676 4796443345 5839148420 6715020683 9592886690 13430041366 19185773380 26860082732 33575103415 67150206830 134300413660