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124040140440 = 23357915498447
BaseRepresentation
bin111001110000101011…
…1100101011010011000
3102212011120102000021120
41303201113211122120
54013013233443230
6132552214405240
711650554540336
oct1634127453230
9385146360246
10124040140440
1148672475467
1220058960820
13b90a221508
146009b48b56
15335ea09310
hex1ce15e5698

124040140440 has 128 divisors (see below), whose sum is σ = 377118720000. Its totient is φ = 32633722368.

The previous prime is 124040140403. The next prime is 124040140507. The reversal of 124040140440 is 44041040421.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 124040140440.

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, 14680297 + ... + 14688743.

It is an arithmetic number, because the mean of its divisors is an integer number (2946240000).

Almost surely, 2124040140440 is an apocalyptic number.

124040140440 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 124040140440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188559360000).

124040140440 is an abundant number, since it is smaller than the sum of its proper divisors (253078579560).

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

124040140440 is a wasteful number, since it uses less digits than its factorization.

124040140440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10089 (or 10085 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

Adding to 124040140440 its reverse (44041040421), we get a palindrome (168081180861).

The spelling of 124040140440 in words is "one hundred twenty-four billion, forty million, one hundred forty thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 79 120 158 237 316 395 474 632 790 948 1185 1549 1580 1896 2370 3098 3160 4647 4740 6196 7745 8447 9294 9480 12392 15490 16894 18588 23235 25341 30980 33788 37176 42235 46470 50682 61960 67576 84470 92940 101364 122371 126705 168940 185880 202728 244742 253410 337880 367113 489484 506820 611855 667313 734226 978968 1013640 1223710 1334626 1468452 1835565 2001939 2447420 2669252 2936904 3336565 3671130 4003878 4894840 5338504 6673130 7342260 8007756 10009695 13084403 13346260 14684520 16015512 20019390 26168806 26692520 39253209 40038780 52337612 65422015 78506418 80077560 104675224 130844030 157012836 196266045 261688060 314025672 392532090 523376120 785064180 1033667837 1570128360 2067335674 3101003511 4134671348 5168339185 6202007022 8269342696 10336678370 12404014044 15505017555 20673356740 24808028088 31010035110 41346713480 62020070220 124040140440