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123013234324416 = 2633726964371941
BaseRepresentation
bin11011111110000101000000…
…001000100111001111000000
3121010112221122210202122112010
4123332011000020213033000
5112110422100441340131
61113343255533532520
734624261423302402
oct3376050010471700
9533487583678463
10123013234324416
113621768a911787
1211968957344140
135384137a42c67
142253c2d88ab72
15e34ccab85b46
hex6fe1402273c0

123013234324416 has 112 divisors (see below), whose sum is σ = 335511711459360. Its totient is φ = 39747870535680.

The previous prime is 123013234324381. The next prime is 123013234324427. The reversal of 123013234324416 is 614423432310321.

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, 30274995 + ... + 34096946.

Almost surely, 2123013234324416 is an apocalyptic number.

123013234324416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

123013234324416 is an abundant number, since it is smaller than the sum of its proper divisors (212498477134944).

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

123013234324416 is a wasteful number, since it uses less digits than its factorization.

123013234324416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64372262 (or 64372252 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 39.

Adding to 123013234324416 its reverse (614423432310321), we get a palindrome (737436666634737).

The spelling of 123013234324416 in words is "one hundred twenty-three trillion, thirteen billion, two hundred thirty-four million, three hundred twenty-four thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 37 48 64 74 96 111 148 192 222 269 296 444 538 592 807 888 1076 1184 1614 1776 2152 2368 3228 3552 4304 6456 7104 8608 9953 12912 17216 19906 25824 29859 39812 51648 59718 79624 119436 159248 238872 318496 477744 636992 955488 1910976 64371941 128743882 193115823 257487764 386231646 514975528 772463292 1029951056 1544926584 2059902112 2381761817 3089853168 4119804224 4763523634 6179706336 7145285451 9527047268 12359412672 14290570902 17316052129 19054094536 28581141804 34632104258 38108189072 51948156387 57162283608 69264208516 76216378144 103896312774 114324567216 138528417032 152432756288 207792625548 228649134432 277056834064 415585251096 457298268864 554113668128 640693928773 831170502192 1108227336256 1281387857546 1662341004384 1922081786319 2562775715092 3324682008768 3844163572638 5125551430184 7688327145276 10251102860368 15376654290552 20502205720736 30753308581104 41004411441472 61506617162208 123013234324416