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240045103662700 = 225271237574348271
BaseRepresentation
bin110110100101000111011011…
…001000100100011001101100
31011110221002101000001112102211
4312211013123020210121230
5222430344333014201300
62210311110453500204
7101363454305235250
oct6645073310443154
91143832330045384
10240045103662700
116a538614066816
1222b0a423641664
13a3c320509144b
14433c360434260
151cb41cd8744ba
hexda51db22466c

240045103662700 has 144 divisors (see below), whose sum is σ = 595909198925824. Its totient is φ = 82218623097600.

The previous prime is 240045103662677. The next prime is 240045103662731. The reversal of 240045103662700 is 7266301540042.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4972839565 + ... + 4972887835.

Almost surely, 2240045103662700 is an apocalyptic number.

240045103662700 is a gapful number since it is divisible by the number (20) 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 240045103662700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (297954599462912).

240045103662700 is an abundant number, since it is smaller than the sum of its proper divisors (355864095263124).

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

240045103662700 is a wasteful number, since it uses less digits than its factorization.

240045103662700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55272 (or 55265 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 40.

The spelling of 240045103662700 in words is "two hundred forty trillion, forty-five billion, one hundred three million, six hundred sixty-two thousand, seven hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 100 140 175 350 700 1237 2474 4948 5743 6185 8659 11486 12370 17318 22972 24740 28715 30925 34636 40201 43295 48271 57430 61850 80402 86590 96542 114860 123700 143575 160804 173180 193084 201005 216475 241355 287150 337897 402010 432950 482710 574300 675794 804020 865900 965420 1005025 1206775 1351588 1689485 2010050 2413550 3378970 4020100 4827100 6757940 7104091 8447425 14208182 16894850 28416364 33789700 35520455 49728637 59711227 71040910 99457274 119422454 142081820 177602275 198914548 238844908 248643185 277220353 298556135 355204550 417978589 497286370 554440706 597112270 710409100 835957178 994572740 1108881412 1194224540 1243215925 1386101765 1492780675 1671914356 1940542471 2089892945 2486431850 2772203530 2985561350 3881084942 4179785890 4972863700 5544407060 5971122700 6930508825 7762169884 8359571780 9702712355 10449464725 13861017650 19405424710 20898929450 27722035300 38810849420 41797858900 48513561775 97027123550 194054247100 342921576661 685843153322 1371686306644 1714607883305 2400451036627 3429215766610 4800902073254 6858431533220 8573039416525 9601804146508 12002255183135 17146078833050 24004510366270 34292157666100 48009020732540 60011275915675 120022551831350 240045103662700