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132418574340 = 223513234073833
BaseRepresentation
bin111101101010011000…
…0110001100000000100
3110122210110220112220020
41323110300301200010
54132143123334330
6140455433335140
712365312211333
oct1732460614004
9418713815806
10132418574340
11511819188a8
12217b68674b0
13c643c94a00
1465a27a1d1a
1536a0358210
hex1ed4c31804

132418574340 has 144 divisors (see below), whose sum is σ = 401709466368. Its totient is φ = 32577272832.

The previous prime is 132418574339. The next prime is 132418574357. The reversal of 132418574340 is 43475814231.

It is a junction number, because it is equal to n+sod(n) for n = 132418574292 and 132418574301.

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, 34545064 + ... + 34548896.

It is an arithmetic number, because the mean of its divisors is an integer number (2789649072).

Almost surely, 2132418574340 is an apocalyptic number.

132418574340 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 132418574340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200854733184).

132418574340 is an abundant number, since it is smaller than the sum of its proper divisors (269290892028).

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

132418574340 is a wasteful number, since it uses less digits than its factorization.

132418574340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7278 (or 7263 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 42.

The spelling of 132418574340 in words is "one hundred thirty-two billion, four hundred eighteen million, five hundred seventy-four thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 130 156 169 195 260 338 390 507 676 780 845 1014 1690 2028 2535 3380 3407 3833 5070 6814 7666 10140 10221 11499 13628 15332 17035 19165 20442 22998 34070 38330 40884 44291 45996 49829 51105 57495 68140 76660 88582 99658 102210 114990 132873 149487 177164 199316 204420 221455 229980 249145 265746 298974 442910 498290 531492 575783 597948 647777 664365 747435 885820 996580 1151566 1295554 1328730 1494870 1727349 1943331 2303132 2591108 2657460 2878915 2989740 3238885 3454698 3886662 5757830 6477770 6909396 7773324 8636745 9716655 11515660 12955540 13059031 17273490 19433310 26118062 34546980 38866620 39177093 52236124 65295155 78354186 130590310 156708372 169767403 195885465 261180620 339534806 391770930 509302209 679069612 783541860 848837015 1018604418 1697674030 2037208836 2206976239 2546511045 3395348060 4413952478 5093022090 6620928717 8827904956 10186044180 11034881195 13241857434 22069762390 26483714868 33104643585 44139524780 66209287170 132418574340