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123056145440 = 25529223118927
BaseRepresentation
bin111001010011010110…
…1111100010000100000
3102202121222211212220022
41302212231330100200
54004004333123230
6132310424133012
711614305656264
oct1624655742040
9382558755808
10123056145440
1148207a93458
121ba23307168
13b7b13c9257
145d551a60a4
15330343a1e5
hex1ca6b7c420

123056145440 has 96 divisors (see below), whose sum is σ = 302096148480. Its totient is φ = 47311617024.

The previous prime is 123056145409. The next prime is 123056145461. The reversal of 123056145440 is 44541650321.

It is a self number, because there is not a number n which added to its sum of digits gives 123056145440.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 975257 + ... + 1094183.

It is an arithmetic number, because the mean of its divisors is an integer number (3146834880).

Almost surely, 2123056145440 is an apocalyptic number.

123056145440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 123056145440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151048074240).

123056145440 is an abundant number, since it is smaller than the sum of its proper divisors (179040003040).

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

123056145440 is a wasteful number, since it uses less digits than its factorization.

123056145440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119194 (or 119186 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 35.

Adding to 123056145440 its reverse (44541650321), we get a palindrome (167597795761).

The spelling of 123056145440 in words is "one hundred twenty-three billion, fifty-six million, one hundred forty-five thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 29 32 40 58 80 116 145 160 223 232 290 446 464 580 892 928 1115 1160 1784 2230 2320 3568 4460 4640 6467 7136 8920 12934 17840 25868 32335 35680 51736 64670 103472 118927 129340 206944 237854 258680 475708 517360 594635 951416 1034720 1189270 1902832 2378540 3448883 3805664 4757080 6897766 9514160 13795532 17244415 19028320 26520721 27591064 34488830 53041442 55182128 68977660 106082884 110364256 132603605 137955320 212165768 265207210 275910640 424331536 530414420 551821280 769100909 848663072 1060828840 1538201818 2121657680 3076403636 3845504545 4243315360 6152807272 7691009090 12305614544 15382018180 24611229088 30764036360 61528072720 123056145440