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123014014452 = 22327975099887
BaseRepresentation
bin111001010010000110…
…1001110010111110100
3102202112001120102001100
41302210031032113310
54003413041430302
6132302321130100
711613254604360
oct1624415162764
9382461512040
10123014014452
114819622785a
121ba11189930
13b7a5767784
145d4d75a2a0
1532ee8b6d1c
hex1ca434e5f4

123014014452 has 144 divisors (see below), whose sum is σ = 359779230720. Its totient is φ = 34712672256.

The previous prime is 123014014427. The next prime is 123014014457. The reversal of 123014014452 is 254410410321.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123014014457) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 12437053 + ... + 12446939.

It is an arithmetic number, because the mean of its divisors is an integer number (2498466880).

Almost surely, 2123014014452 is an apocalyptic number.

123014014452 is a gapful number since it is divisible by the number (12) 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 123014014452, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179889615360).

123014014452 is an abundant number, since it is smaller than the sum of its proper divisors (236765216268).

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

123014014452 is a wasteful number, since it uses less digits than its factorization.

123014014452 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10510 (or 10505 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

Adding to 123014014452 its reverse (254410410321), we get a palindrome (377424424773).

The spelling of 123014014452 in words is "one hundred twenty-three billion, fourteen million, fourteen thousand, four hundred fifty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 97 126 194 252 291 388 509 582 679 873 1018 1164 1358 1527 1746 2036 2037 2716 3054 3492 3563 4074 4581 6108 6111 7126 8148 9162 9887 10689 12222 14252 18324 19774 21378 24444 29661 32067 39548 42756 49373 59322 64134 69209 88983 98746 118644 128268 138418 148119 177966 197492 207627 276836 296238 345611 355932 415254 444357 592476 622881 691222 830508 888714 959039 1036833 1245762 1382444 1777428 1918078 2073666 2491524 2877117 3110499 3836156 4147332 5032483 5754234 6220998 6713273 8631351 10064966 11508468 12441996 13426546 15097449 17262702 20129932 20139819 26853092 30194898 34525404 35227381 40279638 45292347 60389796 60419457 70454762 80559276 90584694 105682143 120838914 140909524 181169388 211364286 241677828 317046429 422728572 488150851 634092858 976301702 1268185716 1464452553 1952603404 2928905106 3417055957 4393357659 5857810212 6834111914 8786715318 10251167871 13668223828 17573430636 20502335742 30753503613 41004671484 61507007226 123014014452