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123400104048 = 24331348745119
BaseRepresentation
bin111001011101100111…
…0000010100001110000
3102210111222001210102000
41302323032002201300
54010210411312143
6132404512254000
711625653402124
oct1627316024160
9383458053360
10123400104048
1148374161671
121baba541300
13b837748660
145d88b3d584
15332372dbd3
hex1cbb382870

123400104048 has 160 divisors (see below), whose sum is σ = 382242201600. Its totient is φ = 37890457344.

The previous prime is 123400104043. The next prime is 123400104049. The reversal of 123400104048 is 840401004321.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123400104041) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 2712433 + ... + 2757551.

It is an arithmetic number, because the mean of its divisors is an integer number (2389013760).

Almost surely, 2123400104048 is an apocalyptic number.

123400104048 is a gapful number since it is divisible by the number (18) 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 123400104048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191121100800).

123400104048 is an abundant number, since it is smaller than the sum of its proper divisors (258842097552).

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

123400104048 is a wasteful number, since it uses less digits than its factorization.

123400104048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45636 (or 45624 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 123400104048 its reverse (840401004321), we get a palindrome (963801108369).

The spelling of 123400104048 in words is "one hundred twenty-three billion, four hundred million, one hundred four thousand, forty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 36 39 48 52 54 72 78 104 108 117 144 156 208 216 234 312 351 432 468 487 624 702 936 974 1404 1461 1872 1948 2808 2922 3896 4383 5616 5844 6331 7792 8766 11688 12662 13149 17532 18993 23376 25324 26298 35064 37986 45119 50648 52596 56979 70128 75972 90238 101296 105192 113958 135357 151944 170937 180476 210384 227916 270714 303888 341874 360952 406071 455832 541428 586547 683748 721904 812142 911664 1082856 1173094 1218213 1367496 1624284 1759641 2165712 2346188 2436426 2734992 3248568 3519282 4692376 4872852 5278923 6497136 7038564 9384752 9745704 10557846 14077128 15836769 19491408 21115692 21972953 28154256 31673538 42231384 43945906 63347076 65918859 84462768 87891812 126694152 131837718 175783624 197756577 253388304 263675436 285648389 351567248 395513154 527350872 571296778 593269731 791026308 856945167 1054701744 1142593556 1186539462 1582052616 1713890334 2285187112 2373078924 2570835501 3164105232 3427780668 4570374224 4746157848 5141671002 6855561336 7712506503 9492315696 10283342004 13711122672 15425013006 20566684008 30850026012 41133368016 61700052024 123400104048