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41133543220 = 22571128579349
BaseRepresentation
bin100110010011110000…
…000000111100110100
310221011200000111110201
4212103300000330310
51133220141340340
630521350330244
72654220230350
oct462360007464
9127150014421
1041133543220
11164988a3920
127b7b659984
133b56b78bb3
141dc2d5c460
15110b29679a
hex993c00f34

41133543220 has 96 divisors (see below), whose sum is σ = 107744313600. Its totient is φ = 12814986240.

The previous prime is 41133543211. The next prime is 41133543239. The reversal of 41133543220 is 2234533114.

It is a happy number.

It is a super-3 number, since 3×411335432203 (a number of 33 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4395106 + ... + 4404454.

It is an arithmetic number, because the mean of its divisors is an integer number (1122336600).

Almost surely, 241133543220 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 41133543220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53872156800).

41133543220 is an abundant number, since it is smaller than the sum of its proper divisors (66610770380).

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

41133543220 is a wasteful number, since it uses less digits than its factorization.

41133543220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12233 (or 12231 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 28.

The spelling of 41133543220 in words is "forty-one billion, one hundred thirty-three million, five hundred forty-three thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 44 55 70 77 110 140 154 220 308 385 770 1540 2857 5714 9349 11428 14285 18698 19999 28570 31427 37396 39998 46745 57140 62854 65443 79996 93490 99995 102839 125708 130886 157135 186980 199990 205678 219989 261772 314270 327215 399980 411356 439978 514195 628540 654430 719873 879956 1028390 1099945 1308860 1439746 2056780 2199890 2879492 3599365 4399780 7198730 14397460 26710093 53420186 106840372 133550465 186970651 267100930 293811023 373941302 534201860 587622046 747882604 934853255 1175244092 1469055115 1869706510 2056677161 2938110230 3739413020 4113354322 5876220460 8226708644 10283385805 20566771610 41133543220