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123560010141040 = 245111015557250169
BaseRepresentation
bin11100000110000010001110…
…100000110100110101110000
3121012111012222112221001021101
4130012002032200310311300
5112143401400044003130
61114442403545134144
735011626144123214
oct3406021640646560
9535435875831241
10123560010141040
1136408562581570
1211a3691148a354
1353c3874975625
14227249d11c944
15e4412d0851ca
hex70608e834d70

123560010141040 has 160 divisors (see below), whose sum is σ = 316554238607040. Its totient is φ = 44477869056000.

The previous prime is 123560010141019. The next prime is 123560010141059. The reversal of 123560010141040 is 40141010065321.

It is a super-2 number, since 2×1235600101410402 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 493781076 + ... + 494031244.

It is an arithmetic number, because the mean of its divisors is an integer number (1978463991294).

Almost surely, 2123560010141040 is an apocalyptic number.

123560010141040 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 123560010141040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158277119303520).

123560010141040 is an abundant number, since it is smaller than the sum of its proper divisors (192994228466000).

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

123560010141040 is a wasteful number, since it uses less digits than its factorization.

123560010141040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 255851 (or 255845 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 28.

The spelling of 123560010141040 in words is "one hundred twenty-three trillion, five hundred sixty billion, ten million, one hundred forty-one thousand, forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 101 110 176 202 220 404 440 505 808 880 1010 1111 1616 2020 2222 4040 4444 5555 5557 8080 8888 11110 11114 17776 22220 22228 27785 44440 44456 55570 61127 88880 88912 111140 122254 222280 244508 250169 305635 444560 489016 500338 561257 611270 978032 1000676 1122514 1222540 1250845 2001352 2245028 2445080 2501690 2751859 2806285 4002704 4490056 4890160 5003380 5503718 5612570 6173827 8980112 10006760 11007436 11225140 12347654 13759295 20013520 22014872 22450280 24695308 25267069 27518590 30869135 44029744 44900560 49390616 50534138 55037180 61738270 98781232 101068276 110074360 123476540 126335345 202136552 220148720 246953080 252670690 277937759 404273104 493906160 505341380 555875518 1010682760 1111751036 1389688795 1390189133 2021365520 2223502072 2779377590 2780378266 4447004144 5558755180 5560756532 6950945665 11117510360 11121513064 13901891330 15292080463 22235020720 22243026128 27803782660 30584160926 55607565320 61168321852 76460402315 111215130640 122336643704 140409102433 152920804630 244673287408 280818204866 305841609260 561636409732 611683218520 702045512165 1123272819464 1223366437040 1404091024330 1544500126763 2246545638928 2808182048660 3089000253526 5616364097320 6178000507052 7722500633815 11232728194640 12356001014104 15445001267630 24712002028208 30890002535260 61780005070520 123560010141040