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140243313241000 = 2353973229447757
BaseRepresentation
bin11111111000110011110000…
…110111100010101110101000
3200101120010111122000211210201
4133320303300313202232220
5121340221301142203000
61214134515542121544
741353150016514454
oct3770636067425650
9611503448024721
10140243313241000
114075a945209492
1213890115a202b4
136033b7034c258
14268bb53a01664
1511330b526396a
hex7f8cf0de2ba8

140243313241000 has 128 divisors (see below), whose sum is σ = 331655962528800. Its totient is φ = 55501684531200.

The previous prime is 140243313240907. The next prime is 140243313241007. The reversal of 140243313241000 is 142313342041.

It is a happy number.

It can be written as a sum of positive squares in 16 ways, for example, as 134473290436 + 140108839950564 = 366706^2 + 11836758^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 140243313241000.

It is not an unprimeable number, because it can be changed into a prime (140243313241007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 312989122 + ... + 313436878.

Almost surely, 2140243313241000 is an apocalyptic number.

140243313241000 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 140243313241000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165827981264400).

140243313241000 is an abundant number, since it is smaller than the sum of its proper divisors (191412649287800).

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

140243313241000 is a wasteful number, since it uses less digits than its factorization.

140243313241000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 451104 (or 451090 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

Adding to 140243313241000 its reverse (142313342041), we get a palindrome (140385626583041).

The spelling of 140243313241000 in words is "one hundred forty trillion, two hundred forty-three billion, three hundred thirteen million, two hundred forty-one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 97 100 125 194 200 250 388 485 500 776 970 1000 1940 2425 3229 3880 4850 6458 9700 12125 12916 16145 19400 24250 25832 32290 48500 64580 80725 97000 129160 161450 313213 322900 403625 447757 626426 645800 807250 895514 1252852 1566065 1614500 1791028 2238785 2505704 3132130 3229000 3582056 4477570 6264260 7830325 8955140 11193925 12528520 15660650 17910280 22387850 31321300 39151625 43432429 44775700 55969625 62642600 78303250 86864858 89551400 111939250 156606500 173729716 217162145 223878500 313213000 347459432 434324290 447757000 868648580 1085810725 1445807353 1737297160 2171621450 2891614706 4343242900 5429053625 5783229412 7229036765 8686485800 10858107250 11566458824 14458073530 21716214500 28916147060 36145183825 43432429000 57832294120 72290367650 140243313241 144580735300 180725919125 280486626482 289161470600 361451838250 560973252964 701216566205 722903676500 1121946505928 1402433132410 1445807353000 2804866264820 3506082831025 5609732529640 7012165662050 14024331324100 17530414155125 28048662648200 35060828310250 70121656620500 140243313241000