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130644326340 = 2232511541121963
BaseRepresentation
bin111100110101100000…
…0100011011111000100
3110111012211100102012100
41321223000203133010
54120024421420330
6140003413152100
712303326310543
oct1715300433704
9414184312170
10130644326340
1150451353040
12213a062b630
13c420520218
146474cb015a
1535e96da060
hex1e6b0237c4

130644326340 has 144 divisors (see below), whose sum is σ = 433116605376. Its totient is φ = 31612550400.

The previous prime is 130644326327. The next prime is 130644326347. The reversal of 130644326340 is 43623446031.

130644326340 is a `hidden beast` number, since 1 + 3 + 0 + 644 + 3 + 2 + 6 + 3 + 4 + 0 = 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 = 130644326295 and 130644326304.

It is not an unprimeable number, because it can be changed into a prime (130644326347) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1010199 + ... + 1132161.

It is an arithmetic number, because the mean of its divisors is an integer number (3007754204).

Almost surely, 2130644326340 is an apocalyptic number.

130644326340 is a gapful number since it is divisible by the number (10) 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 130644326340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216558302688).

130644326340 is an abundant number, since it is smaller than the sum of its proper divisors (302472279036).

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

130644326340 is a wasteful number, since it uses less digits than its factorization.

130644326340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122530 (or 122525 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 36.

The spelling of 130644326340 in words is "one hundred thirty billion, six hundred forty-four million, three hundred twenty-six thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 90 99 110 132 165 180 198 220 330 396 495 541 660 990 1082 1623 1980 2164 2705 3246 4869 5410 5951 6492 8115 9738 10820 11902 16230 17853 19476 23804 24345 29755 32460 35706 48690 53559 59510 71412 89265 97380 107118 119020 121963 178530 214236 243926 267795 357060 365889 487852 535590 609815 731778 1071180 1097667 1219630 1341593 1463556 1829445 2195334 2439260 2683186 3658890 4024779 4390668 5366372 5488335 6707965 7317780 8049558 10976670 12074337 13415930 16099116 20123895 21953340 24148674 26831860 40247790 48297348 60371685 65981983 80495580 120743370 131963966 197945949 241486740 263927932 329909915 395891898 593837847 659819830 725801813 791783796 989729745 1187675694 1319639660 1451603626 1979459490 2177405439 2375351388 2903207252 2969189235 3629009065 3958918980 4354810878 5938378470 6532216317 7258018130 8709621756 10887027195 11876756940 13064432634 14516036260 21774054390 26128865268 32661081585 43548108780 65322163170 130644326340