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441324251014152 = 2331117157626332997
BaseRepresentation
bin110010001011000011100111…
…1001101100110010000001000
32010212121012000212002202001210
41210112013033031212100020
5430321124031224423102
64202341321222213120
7161646424231625652
oct14426071715462010
92125535025082053
10441324251014152
1111868a622441810
12415b771a8841a0
1315c3391021515c
147ada2c9da96d2
153604ccace636c
hex19161cf366408

441324251014152 has 128 divisors (see below), whose sum is σ = 1282529553344640. Its totient is φ = 125066172641280.

The previous prime is 441324251014151. The next prime is 441324251014193. The reversal of 441324251014152 is 251410152423144.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 441324251014152.

It is not an unprimeable number, because it can be changed into a prime (441324251014151) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 312461883 + ... + 313871114.

It is an arithmetic number, because the mean of its divisors is an integer number (10019762135505).

Almost surely, 2441324251014152 is an apocalyptic number.

It is an amenable number.

441324251014152 is an abundant number, since it is smaller than the sum of its proper divisors (841205302330488).

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

441324251014152 is a wasteful number, since it uses less digits than its factorization.

441324251014152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 626333191 (or 626333187 counting only the distinct ones).

The product of its (nonzero) digits is 153600, while the sum is 39.

The spelling of 441324251014152 in words is "four hundred forty-one trillion, three hundred twenty-four billion, two hundred fifty-one million, fourteen thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 11 12 17 22 24 33 34 44 51 66 68 88 102 132 136 157 187 204 264 314 374 408 471 561 628 748 942 1122 1256 1496 1727 1884 2244 2669 3454 3768 4488 5181 5338 6908 8007 10362 10676 13816 16014 20724 21352 29359 32028 41448 58718 64056 88077 117436 176154 234872 352308 704616 626332997 1252665994 1878998991 2505331988 3757997982 5010663976 6889662967 7515995964 10647660949 13779325934 15031991928 20668988901 21295321898 27558651868 31942982847 41337977802 42590643796 55117303736 63885965694 82675955604 85181287592 98334280529 117124270439 127771931388 165351911208 196668561058 234248540878 255543862776 295002841587 351372811317 393337122116 468497081756 590005683174 702745622634 786674244232 936994163512 1081677085819 1180011366348 1405491245268 1671682768993 2163354171638 2360022732696 2810982490536 3245031257457 3343365537986 4326708343276 5015048306979 6490062514914 6686731075972 8653416686552 10030096613958 12980125029828 13373462151944 18388510458923 20060193227916 25960250059656 36777020917846 40120386455832 55165531376769 73554041835692 110331062753538 147108083671384 220662125507076 441324251014152