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114545212552332 = 2235592699740041
BaseRepresentation
bin11010000010110110100010…
…101101000111010010001100
3120000120102012210211211100000
4122002312202231013102030
5110003202043403133312
61043341202203004300
733061422101664612
oct3202664255072214
9500512183754300
10114545212552332
1133552396330a91
1210a1b767b09690
134bbb74b1895b3
1420400370616b2
15d398b5727adc
hex682da2b4748c

114545212552332 has 144 divisors (see below), whose sum is σ = 305471576592000. Its totient is φ = 37520631872640.

The previous prime is 114545212552271. The next prime is 114545212552357. The reversal of 114545212552332 is 233255212545411.

114545212552332 is a `hidden beast` number, since 1 + 1 + 4 + 5 + 4 + 52 + 12 + 552 + 3 + 32 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 154412232 + ... + 155152272.

It is an arithmetic number, because the mean of its divisors is an integer number (2121330393000).

Almost surely, 2114545212552332 is an apocalyptic number.

114545212552332 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 114545212552332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152735788296000).

114545212552332 is an abundant number, since it is smaller than the sum of its proper divisors (190926364039668).

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

114545212552332 is a wasteful number, since it uses less digits than its factorization.

114545212552332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 742818 (or 742804 counting only the distinct ones).

The product of its digits is 1440000, while the sum is 45.

The spelling of 114545212552332 in words is "one hundred fourteen trillion, five hundred forty-five billion, two hundred twelve million, five hundred fifty-two thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 59 81 108 118 162 177 236 243 324 354 486 531 708 972 1062 1593 2124 2699 3186 4779 5398 6372 8097 9558 10796 14337 16194 19116 24291 28674 32388 48582 57348 72873 97164 145746 159241 218619 291492 318482 437238 477723 636964 655857 740041 874476 955446 1311714 1433169 1480082 1910892 2220123 2623428 2866338 2960164 4299507 4440246 5732676 6660369 8599014 8880492 12898521 13320738 17198028 19981107 25797042 26641476 38695563 39962214 43662419 51594084 59943321 77391126 79924428 87324838 119886642 130987257 154782252 174649676 179829963 239773284 261974514 359659926 392961771 523949028 719319852 785923542 1178885313 1571847084 1997370659 2357770626 3536655939 3994741318 4715541252 5992111977 7073311878 7989482636 10609967817 11984223954 14146623756 17976335931 21219935634 23968447908 35952671862 42439871268 53929007793 71905343724 107858015586 117844868881 161787023379 215716031172 235689737762 323574046758 353534606643 471379475524 485361070137 647148093516 707069213286 970722140274 1060603819929 1414138426572 1941444280548 2121207639858 3181811459787 4242415279716 6363622919574 9545434379361 12727245839148 19090868758722 28636303138083 38181737517444 57272606276166 114545212552332