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123550140631296 = 283983787920771
BaseRepresentation
bin11100000101111001000010…
…001111101000100100000000
3121012110021111201201000010110
4130011321002033220210000
5112143221142000200141
61114434052343231320
735011126442513301
oct3405710217504400
9535407451630113
10123550140631296
1136404358493845
1211a34a18148540
1353c2961015b32
142271c044467a8
15e43c518a0e16
hex705e423e8900

123550140631296 has 144 divisors (see below), whose sum is σ = 329215687234560. Its totient is φ = 41134282475520.

The previous prime is 123550140631237. The next prime is 123550140631321. The reversal of 123550140631296 is 692136041055321.

It is a super-2 number, since 2×1235501406312962 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 5948193391 + ... + 5948214161.

It is an arithmetic number, because the mean of its divisors is an integer number (2286220050240).

Almost surely, 2123550140631296 is an apocalyptic number.

123550140631296 is a gapful number since it is divisible by the number (16) 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 123550140631296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164607843617280).

123550140631296 is an abundant number, since it is smaller than the sum of its proper divisors (205665546603264).

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

123550140631296 is an equidigital number, since it uses as much as digits as its factorization.

123550140631296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29652 (or 29638 counting only the distinct ones).

The product of its (nonzero) digits is 1166400, while the sum is 48.

The spelling of 123550140631296 in words is "one hundred twenty-three trillion, five hundred fifty billion, one hundred forty million, six hundred thirty-one thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 768 983 1966 2949 3932 5898 7864 7879 11796 15728 15758 20771 23592 23637 31456 31516 41542 47184 47274 62313 62912 63032 83084 94368 94548 124626 125824 126064 166168 188736 189096 249252 251648 252128 332336 377472 378192 498504 504256 664672 754944 756384 997008 1008512 1329344 1512768 1994016 2017024 2658688 3025536 3988032 5317376 6051072 7745057 7976064 15490114 15952128 20417893 23235171 30980228 40835786 46470342 61253679 61960456 81671572 92940684 122507358 123920912 163343144 163654709 185881368 245014716 247841824 326686288 327309418 371762736 490029432 490964127 495683648 653372576 654618836 743525472 980058864 981928254 991367296 1306745152 1309237672 1487050944 1960117728 1963856508 1982734592 2613490304 2618475344 2974101888 3920235456 3927713016 5226980608 5236950688 5948203776 7840470912 7855426032 10473901376 15680941824 15710852064 20947802752 31421704128 41895605504 62843408256 125686816512 160872578947 321745157894 482617736841 643490315788 965235473682 1286980631576 1930470947364 2573961263152 3860941894728 5147922526304 7721883789456 10295845052608 15443767578912 20591690105216 30887535157824 41183380210432 61775070315648 123550140631296