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124132410040440 = 23355572417768373
BaseRepresentation
bin11100001110010111010100…
…001101001010000001111000
3121021111221110002022201110110
4130032113110031022001320
5112232241133432243230
61120001350353344320
735101161561026514
oct3416272415120170
9537457402281413
10124132410040440
1136609294384a6a
1211b09838b680a0
1354358364bc959
14229207d98d144
15e53e7ed304b0
hex70e5d434a078

124132410040440 has 128 divisors (see below), whose sum is σ = 373220643332160. Its totient is φ = 33028833091584.

The previous prime is 124132410040433. The next prime is 124132410040459. The reversal of 124132410040440 is 44040014231421.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 124132410040398 and 124132410040407.

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, 161168094 + ... + 161936466.

Almost surely, 2124132410040440 is an apocalyptic number.

124132410040440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

124132410040440 is an abundant number, since it is smaller than the sum of its proper divisors (249088233291720).

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

124132410040440 is a wasteful number, since it uses less digits than its factorization.

124132410040440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 771361 (or 771357 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 30.

Adding to 124132410040440 its reverse (44040014231421), we get a palindrome (168172424271861).

The spelling of 124132410040440 in words is "one hundred twenty-four trillion, one hundred thirty-two billion, four hundred ten million, forty thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 557 1114 1671 2228 2417 2785 3342 4456 4834 5570 6684 7251 8355 9668 11140 12085 13368 14502 16710 19336 22280 24170 29004 33420 36255 48340 58008 66840 72510 96680 145020 290040 768373 1346269 1536746 2305119 2692538 3073492 3841865 4038807 4610238 5385076 6146984 6731345 7683730 8077614 9220476 10770152 11525595 13462690 15367460 16155228 18440952 20194035 23051190 26925380 30734920 32310456 40388070 46102380 53850760 80776140 92204760 161552280 427983761 855967522 1283951283 1711935044 1857157541 2139918805 2567902566 3423870088 3714315082 4279837610 5135805132 5571472623 6419756415 7428630164 8559675220 9285787705 10271610264 11142945246 12839512830 14857260328 17119350440 18571575410 22285890492 25679025660 27857363115 37143150820 44571780984 51358051320 55714726230 74286301640 111429452460 222858904920 1034436750337 2068873500674 3103310251011 4137747001348 5172183751685 6206620502022 8275494002696 10344367503370 12413241004044 15516551255055 20688735006740 24826482008088 31033102510110 41377470013480 62066205020220 124132410040440