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41130933840 = 2433533157529
BaseRepresentation
bin100110010011100110…
…000011111001010000
310221011111002221002000
4212103212003321100
51133214004340330
630521214354000
72654156112003
oct462346037120
9127144087060
1041130933840
1116497381407
127b7a7bb900
133b56474299
141dc287d53a
15110ae2d560
hex993983e50

41130933840 has 160 divisors (see below), whose sum is σ = 142103702400. Its totient is φ = 10934922240.

The previous prime is 41130933803. The next prime is 41130933847. The reversal of 41130933840 is 4833903114.

41130933840 is a `hidden beast` number, since 4 + 11 + 309 + 338 + 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 = 41130933795 and 41130933804.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41130933847) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 686196 + ... + 743724.

It is an arithmetic number, because the mean of its divisors is an integer number (888148140).

Almost surely, 241130933840 is an apocalyptic number.

41130933840 is a gapful number since it is divisible by the number (40) 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 41130933840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71051851200).

41130933840 is an abundant number, since it is smaller than the sum of its proper divisors (100972768560).

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

41130933840 is a wasteful number, since it uses less digits than its factorization.

41130933840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57882 (or 57870 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The spelling of 41130933840 in words is "forty-one billion, one hundred thirty million, nine hundred thirty-three thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 90 108 120 135 144 180 216 240 270 331 360 432 540 662 720 993 1080 1324 1655 1986 2160 2648 2979 3310 3972 4965 5296 5958 6620 7944 8937 9930 11916 13240 14895 15888 17874 19860 23832 26480 29790 35748 39720 44685 47664 57529 59580 71496 79440 89370 115058 119160 142992 172587 178740 230116 238320 287645 345174 357480 460232 517761 575290 690348 714960 862935 920464 1035522 1150580 1380696 1553283 1725870 2071044 2301160 2588805 2761392 3106566 3451740 4142088 4602320 5177610 6213132 6903480 7766415 8284176 10355220 12426264 13806960 15532830 19042099 20710440 24852528 31065660 38084198 41420880 57126297 62131320 76168396 95210495 114252594 124262640 152336792 171378891 190420990 228505188 285631485 304673584 342757782 380841980 457010376 514136673 571262970 685515564 761683960 856894455 914020752 1028273346 1142525940 1371031128 1523367920 1713788910 2056546692 2285051880 2570683365 2742062256 3427577820 4113093384 4570103760 5141366730 6855155640 8226186768 10282733460 13710311280 20565466920 41130933840