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124442332434 = 23271723792363
BaseRepresentation
bin111001111100101010…
…1110100110100010010
3102220012121012110222100
41303321111310310102
54014324214114214
6133100143021230
711663540241630
oct1637125646422
9386177173870
10124442332434
11488594a8242
122014b59a816
13b97264c744
146047320350
153384ea2309
hex1cf9574d12

124442332434 has 144 divisors (see below), whose sum is σ = 336185748288. Its totient is φ = 32558713344.

The previous prime is 124442332423. The next prime is 124442332453. The reversal of 124442332434 is 434233244421.

124442332434 is a `hidden beast` number, since 1 + 244 + 42 + 332 + 43 + 4 = 666.

It is a super-2 number, since 2×1244423324342 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1301137 + ... + 1393499.

It is an arithmetic number, because the mean of its divisors is an integer number (2334623252).

Almost surely, 2124442332434 is an apocalyptic number.

124442332434 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 124442332434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168092874144).

124442332434 is an abundant number, since it is smaller than the sum of its proper divisors (211743415854).

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

124442332434 is a wasteful number, since it uses less digits than its factorization.

124442332434 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92449 (or 92429 counting only the distinct ones).

The product of its digits is 221184, while the sum is 36.

Adding to 124442332434 its reverse (434233244421), we get a palindrome (558675576855).

The spelling of 124442332434 in words is "one hundred twenty-four billion, four hundred forty-two million, three hundred thirty-two thousand, four hundred thirty-four".

Divisors: 1 2 3 6 7 9 14 17 18 21 34 37 42 51 63 74 102 111 119 126 153 222 238 259 289 306 333 357 518 578 629 666 714 777 867 1071 1258 1554 1734 1887 2023 2142 2331 2601 3774 4046 4403 4662 5202 5661 6069 8806 10693 11322 12138 13209 18207 21386 26418 32079 36414 39627 64158 74851 79254 92363 96237 149702 184726 192474 224553 277089 449106 554178 646541 673659 831267 1293082 1347318 1570171 1662534 1939623 3140342 3417431 3879246 4710513 5818869 6834862 9421026 10252293 10991197 11637738 14131539 20504586 21982394 23922017 26692907 28263078 30756879 32973591 47844034 53385814 58096327 61513758 65947182 71766051 80078721 98920773 116192654 143532102 160157442 174288981 186850349 197841546 215298153 240236163 348577962 373700698 406674289 430596306 480472326 522866943 560551047 813348578 987637559 1045733886 1121102094 1220022867 1681653141 1975275118 2440045734 2962912677 3363306282 3660068601 5925825354 6913462913 7320137202 8888738031 13826925826 17777476062 20740388739 41480777478 62221166217 124442332434