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124443411424 = 25177919914551
BaseRepresentation
bin111001111100101100…
…1111100001111100000
3102220012200020022001221
41303321121330033200
54014330003131144
6133100222104424
711663552354443
oct1637131741740
9386180208057
10124443411424
114885a074972
122014ba1b114
13b9729398b7
14604752165a
153385116d84
hex1cf967c3e0

124443411424 has 96 divisors (see below), whose sum is σ = 264031488000. Its totient is φ = 57525811200.

The previous prime is 124443411419. The next prime is 124443411439. The reversal of 124443411424 is 424114344421.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a self number, because there is not a number n which added to its sum of digits gives 124443411424.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8544949 + ... + 8559499.

It is an arithmetic number, because the mean of its divisors is an integer number (2750328000).

Almost surely, 2124443411424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 124443411424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132015744000).

124443411424 is an abundant number, since it is smaller than the sum of its proper divisors (139588076576).

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

124443411424 is a wasteful number, since it uses less digits than its factorization.

124443411424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14856 (or 14848 counting only the distinct ones).

The product of its digits is 49152, while the sum is 34.

Adding to 124443411424 its reverse (424114344421), we get a palindrome (548557755845).

The spelling of 124443411424 in words is "one hundred twenty-four billion, four hundred forty-three million, four hundred eleven thousand, four hundred twenty-four".

Divisors: 1 2 4 8 16 17 32 34 68 79 136 158 199 272 316 398 544 632 796 1264 1343 1592 2528 2686 3184 3383 5372 6368 6766 10744 13532 14551 15721 21488 27064 29102 31442 42976 54128 58204 62884 108256 116408 125768 232816 247367 251536 267257 465632 494734 503072 534514 989468 1069028 1149529 1978936 2138056 2299058 2895649 3957872 4276112 4598116 5791298 7915744 8552224 9196232 11582596 18392464 19541993 23165192 36784928 39083986 46330384 49226033 78167972 92660768 98452066 156335944 196904132 228756271 312671888 393808264 457512542 625343776 787616528 915025084 1575233056 1830050168 3660100336 3888856607 7320200672 7777713214 15555426428 31110852856 62221705712 124443411424