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134683107440 = 24572341255043
BaseRepresentation
bin111110101101110111…
…1010010000001110000
3110212122022000202022112
41331123233102001300
54201312333414230
6141512250224452
712505400344550
oct1753357220160
9425568022275
10134683107440
1152134115062
1222129125128
13c91519c71b
14673943b160
153784070d95
hex1f5bbd2070

134683107440 has 160 divisors (see below), whose sum is σ = 382541515776. Its totient is φ = 43091896320.

The previous prime is 134683107437. The next prime is 134683107497. The reversal of 134683107440 is 44701386431.

It is a Harshad number since it is a multiple of its sum of digits (41).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 400559 + ... + 655601.

Almost surely, 2134683107440 is an apocalyptic number.

134683107440 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 134683107440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191270757888).

134683107440 is an abundant number, since it is smaller than the sum of its proper divisors (247858408336).

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

134683107440 is a wasteful number, since it uses less digits than its factorization.

134683107440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 255127 (or 255121 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 41.

The spelling of 134683107440 in words is "one hundred thirty-four billion, six hundred eighty-three million, one hundred seven thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 23 28 35 40 41 46 56 70 80 82 92 112 115 140 161 164 184 205 230 280 287 322 328 368 410 460 560 574 644 656 805 820 920 943 1148 1288 1435 1610 1640 1840 1886 2296 2576 2870 3220 3280 3772 4592 4715 5740 6440 6601 7544 9430 11480 12880 13202 15088 18860 22960 26404 33005 37720 52808 66010 75440 105616 132020 255043 264040 510086 528080 1020172 1275215 1785301 2040344 2550430 3570602 4080688 5100860 5865989 7141204 8926505 10201720 10456763 11731978 14282408 17853010 20403440 20913526 23463956 28564816 29329945 35706020 41061923 41827052 46927912 52283815 58659890 71412040 73197341 82123846 83654104 93855824 104567630 117319780 142824080 146394682 164247692 167308208 205309615 209135260 234639560 240505549 292789364 328495384 365986705 410619230 418270520 469279120 481011098 585578728 656990768 731973410 821238460 836541040 962022196 1171157456 1202527745 1463946820 1642476920 1683538843 1924044392 2405055490 2927893640 3284953840 3367077686 3848088784 4810110980 5855787280 6734155372 8417694215 9620221960 13468310744 16835388430 19240443920 26936621488 33670776860 67341553720 134683107440