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124741763344 = 241122323492
BaseRepresentation
bin111010000101100110…
…0000100000100010000
3102220222110122010222001
41310023030010010100
54020432342411334
6133150000523344
712004134331222
oct1641314040420
9386873563861
10124741763344
11489a2523100
1220213920554
13b9bc6ab4b3
146074dc6412
1533a13ec714
hex1d0b304110

124741763344 has 135 divisors (see below), whose sum is σ = 278506600869. Its totient is φ = 54080146560.

The previous prime is 124741763339. The next prime is 124741763359. The reversal of 124741763344 is 443367147421.

The square root of 124741763344 is 353188.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 91559497744 + 33182265600 = 302588^2 + 182160^2 .

It is a Harshad number since it is a multiple of its sum of digits (46).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 124741763294 and 124741763303.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 357426082 + ... + 357426430.

Almost surely, 2124741763344 is an apocalyptic number.

124741763344 is the 353188-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 124741763344

124741763344 is an abundant number, since it is smaller than the sum of its proper divisors (153764837525).

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

124741763344 is an equidigital number, since it uses as much as digits as its factorization.

124741763344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 774 (or 385 counting only the distinct ones).

The product of its digits is 1354752, while the sum is 46.

The spelling of 124741763344 in words is "one hundred twenty-four billion, seven hundred forty-one million, seven hundred sixty-three thousand, three hundred forty-four".

Divisors: 1 2 4 8 11 16 22 23 44 46 88 92 121 176 184 242 253 349 368 484 506 529 698 968 1012 1058 1396 1936 2024 2116 2783 2792 3839 4048 4232 5566 5584 5819 7678 8027 8464 11132 11638 15356 16054 22264 23276 30712 32108 42229 44528 46552 61424 64009 64216 84458 88297 93104 121801 128018 128432 168916 176594 184621 243602 256036 337832 353188 369242 487204 512072 675664 706376 738484 971267 974408 1024144 1339811 1412752 1476968 1942534 1948816 2030831 2679622 2801423 2953936 3885068 4061662 5359244 5602846 7770136 8123324 10718488 11205692 14737921 15540272 16246648 21436976 22339141 22411384 29475842 30815653 32493296 44678282 44822768 58951684 61631306 64432729 89356564 117903368 123262612 128865458 178713128 235806736 246525224 257730916 338972183 357426256 493050448 515461832 677944366 708760019 1030923664 1355888732 1417520038 2711777464 2835040076 5423554928 5670080152 7796360209 11340160304 15592720418 31185440836 62370881672 124741763344