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124000224414 = 2311711072231109
BaseRepresentation
bin111001101111011111…
…1010100010010011110
3102212001210022001210020
41303132333110102132
54012423024140124
6132544231053010
711646561342153
oct1633677242236
9385053261706
10124000224414
1148651991a10
1220047511166
13b901b86c71
14600471822a
15335b272379
hex1cdefd449e

124000224414 has 128 divisors (see below), whose sum is σ = 278413148160. Its totient is φ = 36502838400.

The previous prime is 124000224373. The next prime is 124000224427. The reversal of 124000224414 is 414422000421.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 111812092 + ... + 111813200.

It is an arithmetic number, because the mean of its divisors is an integer number (2175102720).

Almost surely, 2124000224414 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 124000224414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139206574080).

124000224414 is an abundant number, since it is smaller than the sum of its proper divisors (154412923746).

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

124000224414 is a wasteful number, since it uses less digits than its factorization.

124000224414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1526.

The product of its (nonzero) digits is 2048, while the sum is 24.

Adding to 124000224414 its reverse (414422000421), we get a palindrome (538422224835).

The spelling of 124000224414 in words is "one hundred twenty-four billion, two hundred twenty-four thousand, four hundred fourteen".

Divisors: 1 2 3 6 11 22 33 66 71 107 142 213 214 223 321 426 446 642 669 781 1109 1177 1338 1562 2218 2343 2354 2453 3327 3531 4686 4906 6654 7062 7359 7597 12199 14718 15194 15833 22791 23861 24398 31666 36597 45582 47499 47722 71583 73194 78739 83567 94998 118663 143166 157478 167134 174163 236217 237326 247307 250701 262471 348326 355989 472434 494614 501402 522489 524942 711978 741921 787413 866129 1044978 1305293 1483842 1574826 1694131 1732258 2598387 2610586 2720377 3388262 3915879 5082393 5196774 5440754 7831758 8161131 8425073 10164786 16322262 16850146 17558797 18635441 25275219 26461849 35117594 37270882 50550438 52676391 52923698 55906323 79385547 92675803 105352782 111812646 158771094 185351606 193146767 278027409 291080339 386293534 556054818 579440301 582160678 873241017 1158880602 1746482034 1878791279 3757582558 5636373837 11272747674 20666704069 41333408138 62000112207 124000224414