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124431122440 = 235291573971721
BaseRepresentation
bin111001111100010101…
…1000100000000001000
3102220011211002221202101
41303320223010000020
54014313331404230
6133055102443144
711663343042502
oct1637053040010
9386154087671
10124431122440
1148853140a89
12201478934b4
13b970226201
146045a42d72
153383edaaca
hex1cf8ac4008

124431122440 has 128 divisors (see below), whose sum is σ = 292372869600. Its totient is φ = 47602114560.

The previous prime is 124431122429. The next prime is 124431122461. The reversal of 124431122440 is 44221134421.

It can be written as a sum of positive squares in 16 ways, for example, as 22426260516 + 102004861924 = 149754^2 + 319382^2 .

It is a junction number, because it is equal to n+sod(n) for n = 124431122399 and 124431122408.

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, 72300780 + ... + 72302500.

Almost surely, 2124431122440 is an apocalyptic number.

124431122440 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 124431122440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146186434800).

124431122440 is an abundant number, since it is smaller than the sum of its proper divisors (167941747160).

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

124431122440 is a wasteful number, since it uses less digits than its factorization.

124431122440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2315 (or 2311 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 28.

Adding to 124431122440 its reverse (44221134421), we get a palindrome (168652256861).

The spelling of 124431122440 in words is "one hundred twenty-four billion, four hundred thirty-one million, one hundred twenty-two thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 29 40 58 116 145 157 232 290 314 397 580 628 785 794 1160 1256 1570 1588 1721 1985 3140 3176 3442 3970 4553 6280 6884 7940 8605 9106 11513 13768 15880 17210 18212 22765 23026 34420 36424 45530 46052 49909 57565 62329 68840 91060 92104 99818 115130 124658 182120 199636 230260 249316 249545 270197 311645 399272 460520 498632 499090 540394 623290 683237 998180 1080788 1246580 1350985 1366474 1807541 1996360 2161576 2493160 2701970 2732948 3416185 3615082 5403940 5465896 6832370 7230164 7835713 9037705 10807880 13664740 14460328 15671426 18075410 19813873 27329480 31342852 36150820 39178565 39627746 62685704 72301640 78357130 79255492 99069365 107268209 156714260 158510984 198138730 214536418 313428520 396277460 429072836 536341045 792554920 858145672 1072682090 2145364180 3110778061 4290728360 6221556122 12443112244 15553890305 24886224488 31107780610 62215561220 124431122440