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4132523101304 = 231322347260161
BaseRepresentation
bin111100001000101101100…
…100100100110001111000
3112122001202122021202212102
4330020231210210301320
51020201401403220204
612442242132002532
7604364526533003
oct74105544446170
915561678252772
104132523101304
111353658613094
12568ab1760448
1323c90662a600
1410402d95053a
157276a5ae41e
hex3c22d924c78

4132523101304 has 144 divisors (see below), whose sum is σ = 8945557567920. Its totient is φ = 1785544949760.

The previous prime is 4132523101261. The next prime is 4132523101379. The reversal of 4132523101304 is 4031013252314.

It is a super-2 number, since 2×41325231013042 (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 68660984 + ... + 68721144.

It is an arithmetic number, because the mean of its divisors is an integer number (62121927555).

Almost surely, 24132523101304 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4132523101304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4472778783960).

4132523101304 is an abundant number, since it is smaller than the sum of its proper divisors (4813034466616).

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

4132523101304 is a wasteful number, since it uses less digits than its factorization.

4132523101304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60310 (or 60246 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 29.

Adding to 4132523101304 its reverse (4031013252314), we get a palindrome (8163536353618).

The spelling of 4132523101304 in words is "four trillion, one hundred thirty-two billion, five hundred twenty-three million, one hundred one thousand, three hundred four".

Divisors: 1 2 4 8 13 23 26 46 47 52 92 94 104 169 184 188 299 338 376 598 611 676 1081 1196 1222 1352 2162 2209 2392 2444 3887 4324 4418 4888 7774 7943 8648 8836 14053 15548 15886 17672 28106 28717 31096 31772 50807 56212 57434 60161 63544 101614 112424 114868 120322 182689 203228 229736 240644 365378 373321 406456 481288 660491 730756 746642 782093 1320982 1383703 1461512 1493284 1564186 2641964 2767406 2827567 2986568 3128372 5283928 5534812 5655134 6256744 8586383 10167209 11069624 11310268 17172766 17988139 20334418 22620536 34345532 35976278 36758371 40668836 65034041 68691064 71952556 73516742 81337672 130068082 132895649 143905112 147033484 233845807 260136164 265791298 294066968 467691614 477858823 520272328 531582596 845442533 935383228 955717646 1063165192 1690885066 1727643437 1870766456 1911435292 3056599927 3381770132 3455286874 3822870584 6113199854 6763540264 6910573748 10990752929 12226399708 13821147496 21981505858 22459364681 24452799416 39735799051 43963011716 44918729362 79471598102 87926023432 89837458724 158943196204 179674917448 317886392408 516565387663 1033130775326 2066261550652 4132523101304