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124331342140 = 225295314812731
BaseRepresentation
bin111001111001010111…
…0011011100100111100
3102212220212100120220201
41303302232123210330
54014112310422030
6133041140053244
711661021654025
oct1636256334474
9385825316821
10124331342140
114880188a625
122011a394224
13b95565b705
1460366abc4c
15337a37b2ca
hex1cf2b9b93c

124331342140 has 96 divisors (see below), whose sum is σ = 275481984960. Its totient is φ = 47062579200.

The previous prime is 124331342117. The next prime is 124331342141. The reversal of 124331342140 is 41243133421.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 124331342099 and 124331342108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (124331342141) 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, 45524575 + ... + 45527305.

It is an arithmetic number, because the mean of its divisors is an integer number (2869604010).

Almost surely, 2124331342140 is an apocalyptic number.

124331342140 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 124331342140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137740992480).

124331342140 is an abundant number, since it is smaller than the sum of its proper divisors (151150642820).

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

124331342140 is a wasteful number, since it uses less digits than its factorization.

124331342140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4303 (or 4301 counting only the distinct ones).

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

Adding to 124331342140 its reverse (41243133421), we get a palindrome (165574475561).

The spelling of 124331342140 in words is "one hundred twenty-four billion, three hundred thirty-one million, three hundred forty-two thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 29 53 58 106 116 145 212 265 290 530 580 1060 1481 1537 2731 2962 3074 5462 5924 6148 7405 7685 10924 13655 14810 15370 27310 29620 30740 42949 54620 78493 79199 85898 144743 156986 158398 171796 214745 289486 313972 316796 392465 395995 429490 578972 723715 784930 791990 858980 1447430 1569860 1583980 2276297 2894860 4044611 4197547 4552594 8089222 8395094 9105188 11381485 16178444 16790188 20223055 20987735 22762970 40446110 41975470 45525940 80892220 83950940 117293719 214364383 234587438 428728766 469174876 586468595 857457532 1071821915 1172937190 2143643830 2345874380 4287287660 6216567107 12433134214 24866268428 31082835535 62165671070 124331342140