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103424141342224 = 24232967728515021
BaseRepresentation
bin10111100001000001001111…
…001101001011011000010000
3111120012020210020100102111201
4113201001033031023120100
5102024000120140422344
61003544221123120544
730533101431261313
oct2741011715133020
9446166706312451
10103424141342224
112aa54a28586a4a
12b72435b813154
134592b1596a761
141b77a801ba97a
15be547501c4d4
hex5e104f34b610

103424141342224 has 160 divisors (see below), whose sum is σ = 216745512042240. Its totient is φ = 47661309696000.

The previous prime is 103424141342191. The next prime is 103424141342239. The reversal of 103424141342224 is 422243141424301.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20598312834 + ... + 20598317854.

It is an arithmetic number, because the mean of its divisors is an integer number (1354659450264).

Almost surely, 2103424141342224 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 103424141342224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108372756021120).

103424141342224 is an abundant number, since it is smaller than the sum of its proper divisors (113321370700016).

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

103424141342224 is a wasteful number, since it uses less digits than its factorization.

103424141342224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8609 (or 8603 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 37.

Adding to 103424141342224 its reverse (422243141424301), we get a palindrome (525667282766525).

The spelling of 103424141342224 in words is "one hundred three trillion, four hundred twenty-four billion, one hundred forty-one million, three hundred forty-two thousand, two hundred twenty-four".

Divisors: 1 2 4 8 16 23 29 46 58 92 116 184 232 368 464 667 677 1334 1354 2668 2708 2851 5021 5336 5416 5702 10042 10672 10832 11404 15571 19633 20084 22808 31142 39266 40168 45616 62284 65573 78532 80336 82679 115483 124568 131146 145609 157064 165358 230966 249136 262292 291218 314128 330716 451559 461932 524584 582436 661432 903118 923864 1049168 1164872 1322864 1806236 1847728 1901617 1930127 2329744 3349007 3399217 3612472 3803234 3860254 6698014 6798434 7224944 7606468 7720508 13396028 13596868 14314871 15212936 15441016 26792056 27193736 28629742 30425872 30882032 44392921 53584112 54387472 55973683 57259484 78181991 88785842 98577293 111947366 114518968 156363982 177571684 197154586 223894732 229037936 312727964 329242033 355143368 394309172 415131259 447789464 625455928 658484066 710286736 788618344 830262518 895578928 1250911856 1287394709 1316968132 1577236688 1660525036 2267277739 2574789418 2633936264 3321050072 4534555478 5149578836 5267872528 6642100144 9069110956 9548018957 9691167667 10299157672 18138221912 19096037914 19382335334 20598315344 36276443824 38192075828 38764670668 76384151656 77529341336 152768303312 155058682672 222896856341 281043862343 445793712682 562087724686 891587425364 1124175449372 1783174850728 2248350898744 3566349701456 4496701797488 6464008833889 12928017667778 25856035335556 51712070671112 103424141342224