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124402224144 = 2431112714912451
BaseRepresentation
bin111001111011011110…
…0110100110000010000
3102220002210201202202010
41303312330310300100
54014233432133034
6133052151222520
711662542313062
oct1636674646020
9386083652663
10124402224144
11488388a32a0
122013a077a40
13b967248823
146041c7d732
1533816cd3e9
hex1cf6f34c10

124402224144 has 160 divisors (see below), whose sum is σ = 355748659200. Its totient is φ = 37146816000.

The previous prime is 124402224137. The next prime is 124402224157. The reversal of 124402224144 is 441422204421.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9985119 + ... + 9997569.

It is an arithmetic number, because the mean of its divisors is an integer number (2223429120).

Almost surely, 2124402224144 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 124402224144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177874329600).

124402224144 is an abundant number, since it is smaller than the sum of its proper divisors (231346435056).

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

124402224144 is a wasteful number, since it uses less digits than its factorization.

124402224144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12749 (or 12743 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 30.

Adding to 124402224144 its reverse (441422204421), we get a palindrome (565824428565).

The spelling of 124402224144 in words is "one hundred twenty-four billion, four hundred two million, two hundred twenty-four thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 127 132 149 176 254 264 298 381 447 508 528 596 762 894 1016 1192 1397 1524 1639 1788 2032 2384 2794 3048 3278 3576 4191 4917 5588 6096 6556 7152 8382 9834 11176 12451 13112 16764 18923 19668 22352 24902 26224 33528 37353 37846 39336 49804 56769 67056 74706 75692 78672 99608 113538 136961 149412 151384 199216 208153 227076 273922 298824 302768 410883 416306 454152 547844 597648 624459 821766 832612 908304 1095688 1248918 1581277 1643532 1665224 1855199 2191376 2497836 3162554 3287064 3330448 3710398 4743831 4995672 5565597 6325108 6574128 7420796 9487662 9991344 11131194 12650216 14841592 17394047 18975324 20407189 22262388 25300432 29683184 34788094 37950648 40814378 44524776 52182141 61221567 69576188 75901296 81628756 89049552 104364282 122443134 139152376 163257512 208728564 235610273 244886268 278304752 326515024 417457128 471220546 489772536 706830819 834914256 942441092 979545072 1413661638 1884882184 2591713003 2827323276 3769764368 5183426006 5654646552 7775139009 10366852012 11309293104 15550278018 20733704024 31100556036 41467408048 62201112072 124402224144