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252002423520144 = 243211185038598197
BaseRepresentation
bin111001010011000111100010…
…111011111011101110010000
31020001021012022011220202022200
4321103013202323323232100
5231012301430410121034
62251544152024203200
7104036400656110263
oct7123074273735620
91201235264822280
10252002423520144
117332869a429830
122431b911909500
13aa7c95a3785bb
144632da7900cda
151e2026484ba99
hexe531e2efbb90

252002423520144 has 120 divisors (see below), whose sum is σ = 769412705810112. Its totient is φ = 76360234748160.

The previous prime is 252002423520143. The next prime is 252002423520157. The reversal of 252002423520144 is 441025324200252.

252002423520144 is a `hidden beast` number, since 2 + 5 + 20 + 0 + 2 + 423 + 5 + 201 + 4 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 252002423520099 and 252002423520108.

It is not an unprimeable number, because it can be changed into a prime (252002423520143) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 25009654 + ... + 33607850.

Almost surely, 2252002423520144 is an apocalyptic number.

252002423520144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

252002423520144 is an abundant number, since it is smaller than the sum of its proper divisors (517410282289968).

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

252002423520144 is a wasteful number, since it uses less digits than its factorization.

252002423520144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8616725 (or 8616716 counting only the distinct ones).

The product of its (nonzero) digits is 153600, while the sum is 36.

Adding to 252002423520144 its reverse (441025324200252), we get a palindrome (693027747720396).

The spelling of 252002423520144 in words is "two hundred fifty-two trillion, two billion, four hundred twenty-three million, five hundred twenty thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 33 36 44 48 66 72 88 99 132 144 176 198 264 396 528 792 1584 18503 37006 55509 74012 111018 148024 166527 203533 222036 296048 333054 407066 444072 610599 666108 814132 888144 1221198 1332216 1628264 1831797 2442396 2664432 3256528 3663594 4884792 7327188 8598197 9769584 14654376 17196394 25794591 29308752 34392788 51589182 68785576 77383773 94580167 103178364 137571152 154767546 189160334 206356728 283740501 309535092 378320668 412713456 567481002 619070184 756641336 851221503 1134962004 1238140368 1513282672 1702443006 2269924008 3404886012 4539848016 6809772024 13619544048 159092439091 318184878182 477277317273 636369756364 954554634546 1272739512728 1431831951819 1750016830001 1909109269092 2545479025456 2863663903638 3500033660002 3818218538184 5250050490003 5727327807276 7000067320004 7636437076368 10500100980006 11454655614552 14000134640008 15750151470009 21000201960012 22909311229104 28000269280016 31500302940018 42000403920024 63000605880036 84000807840048 126001211760072 252002423520144