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113442357526000 = 2453701291727739
BaseRepresentation
bin11001110010110011011011…
…011011000011110111110000
3112212122222112221112200202021
4121302303123123003313300
5104332114422011313000
61041134411040201224
732615640241641256
oct3162633333036760
9485588487480667
10113442357526000
11331676a74294a8
1210881a80009214
134b3b750a58c39
1420028d472c5d6
15d1ad692bd11a
hex672cdb6c3df0

113442357526000 has 160 divisors (see below), whose sum is σ = 274799000399040. Its totient is φ = 45295044480000.

The previous prime is 113442357525911. The next prime is 113442357526039. The reversal of 113442357526000 is 625753244311.

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, 4089620131 + ... + 4089647869.

It is an arithmetic number, because the mean of its divisors is an integer number (1717493752494).

Almost surely, 2113442357526000 is an apocalyptic number.

113442357526000 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 113442357526000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137399500199520).

113442357526000 is an abundant number, since it is smaller than the sum of its proper divisors (161356642873040).

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

113442357526000 is a wasteful number, since it uses less digits than its factorization.

113442357526000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31380 (or 31364 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 43.

The spelling of 113442357526000 in words is "one hundred thirteen trillion, four hundred forty-two billion, three hundred fifty-seven million, five hundred twenty-six thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 701 1000 1402 2000 2804 2917 3505 5608 5834 7010 11216 11668 14020 14585 17525 23336 27739 28040 29170 35050 46672 55478 56080 58340 70100 72925 87625 110956 116680 138695 140200 145850 175250 221912 233360 277390 280400 291700 350500 364625 443824 554780 583400 693475 701000 729250 1109560 1166800 1386950 1402000 1458500 2044817 2219120 2773900 2917000 3467375 4089634 5547800 5834000 6934750 8179268 10224085 11095600 13869500 16358536 19445039 20448170 27739000 32717072 38890078 40896340 51120425 55478000 77780156 80914663 81792680 97225195 102240850 155560312 161829326 163585360 194450390 204481700 255602125 311120624 323658652 388900780 404573315 408963400 486125975 511204250 647317304 777801560 809146630 817926800 972251950 1022408500 1294634608 1555603120 1618293260 1944503900 2022866575 2044817000 2430629875 3236586520 3889007800 4045733150 4089634000 4861259750 6473173040 7778015600 8091466300 9722519500 10114332875 16182932600 19445039000 20228665750 32365865200 38890078000 40457331500 56721178763 80914663000 113442357526 161829326000 226884715052 283605893815 453769430104 567211787630 907538860208 1134423575260 1418029469075 2268847150520 2836058938150 4537694301040 5672117876300 7090147345375 11344235752600 14180294690750 22688471505200 28360589381500 56721178763000 113442357526000