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41002223131320 = 233511255712147943
BaseRepresentation
bin10010101001010100100101…
…11100011101101010111000
312101011202220102120012122120
421110222102330131222320
520333240023110200240
6223112054500121240
711431212212102133
oct1124522274355270
9171152812505576
1041002223131320
1112078a44039480
124722609696220
1319b5654303409
14a1a737ca121a
154b186671dad0
hex254a92f1dab8

41002223131320 has 128 divisors (see below), whose sum is σ = 134241584048640. Its totient is φ = 9936044720640.

The previous prime is 41002223131297. The next prime is 41002223131333. The reversal of 41002223131320 is 2313132220014.

41002223131320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 2698732 + ... + 9449211.

It is an arithmetic number, because the mean of its divisors is an integer number (1048762375380).

Almost surely, 241002223131320 is an apocalyptic number.

41002223131320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

41002223131320 is an abundant number, since it is smaller than the sum of its proper divisors (93239360917320).

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

41002223131320 is a wasteful number, since it uses less digits than its factorization.

41002223131320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12150525 (or 12150521 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 41002223131320 its reverse (2313132220014), we get a palindrome (43315355351334).

The spelling of 41002223131320 in words is "forty-one trillion, two billion, two hundred twenty-three million, one hundred thirty-one thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 132 165 220 264 330 440 660 1320 2557 5114 7671 10228 12785 15342 20456 25570 28127 30684 38355 51140 56254 61368 76710 84381 102280 112508 140635 153420 168762 225016 281270 306840 337524 421905 562540 675048 843810 1125080 1687620 3375240 12147943 24295886 36443829 48591772 60739715 72887658 97183544 121479430 133627373 145775316 182219145 242958860 267254746 291550632 364438290 400882119 485917720 534509492 668136865 728876580 801764238 1069018984 1336273730 1457753160 1603528476 2004410595 2672547460 3207056952 4008821190 5345094920 8017642380 16035284760 31062290251 62124580502 93186870753 124249161004 155311451255 186373741506 248498322008 310622902510 341685192761 372747483012 465934353765 621245805020 683370385522 745494966024 931868707530 1025055578283 1242491610040 1366740771044 1708425963805 1863737415060 2050111156566 2733481542088 3416851927610 3727474830120 4100222313132 5125277891415 6833703855220 8200444626264 10250555782830 13667407710440 20501111565660 41002223131320