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124140656896 = 28194612
BaseRepresentation
bin111001110011101011…
…1000001100100000000
3102212102120112202221021
41303213113001210000
54013220002010041
6133010205035224
711653215113254
oct1634727014400
9385376482837
10124140656896
1148714189a13
1220086555b14
13b924cb60c9
146019232264
153368761cd1
hex1ce75c1900

124140656896 has 135 divisors (see below), whose sum is σ = 265920957393. Its totient is φ = 57839477760.

The previous prime is 124140656873. The next prime is 124140656921. The reversal of 124140656896 is 698656041421.

The square root of 124140656896 is 352336.

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., 4036823296 + 120103833600 = 63536^2 + 346560^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 2035092706 + ... + 2035092766.

Almost surely, 2124140656896 is an apocalyptic number.

124140656896 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

124140656896 is the 352336-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 124140656896

124140656896 is an abundant number, since it is smaller than the sum of its proper divisors (141780300497).

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

124140656896 is an frugal number, since it uses more digits than its factorization.

124140656896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 214 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 52.

The spelling of 124140656896 in words is "one hundred twenty-four billion, one hundred forty million, six hundred fifty-six thousand, eight hundred ninety-six".

Divisors: 1 2 4 8 16 19 32 38 61 64 76 122 128 152 244 256 304 361 488 608 722 976 1159 1216 1444 1952 2318 2432 2888 3721 3904 4636 4864 5776 6859 7442 7808 9272 11552 13718 14884 15616 18544 22021 23104 27436 29768 37088 44042 46208 54872 59536 70699 74176 88084 92416 109744 119072 130321 141398 148352 176168 219488 238144 260642 282796 296704 352336 418399 438976 476288 521284 565592 704672 836798 877952 952576 1042568 1131184 1343281 1409344 1673596 1755904 2085136 2262368 2686562 2818688 3347192 4170272 4524736 5373124 5637376 6694384 7949581 8340544 9049472 10746248 13388768 15899162 16681088 18098944 21492496 25522339 26777536 31798324 33362176 42984992 51044678 53555072 63596648 85969984 102089356 107110144 127193296 171939968 204178712 254386592 343879936 408357424 484924441 508773184 816714848 969848882 1017546368 1633429696 1939697764 2035092736 3266859392 3879395528 6533718784 7758791056 15517582112 31035164224 62070328448 124140656896