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41348057040 = 243456380873
BaseRepresentation
bin100110100000100010…
…010100011111010000
310221201121122221010000
4212200202110133100
51134140100311130
630554532210000
72662433454153
oct464042243720
9127647587100
1041348057040
111659899a274
12801b469900
133b8c445454
14200363bc9a
15112001b260
hex9a08947d0

41348057040 has 100 divisors (see below), whose sum is σ = 143607950244. Its totient is φ = 11026146816.

The previous prime is 41348057039. The next prime is 41348057087. The reversal of 41348057040 is 4075084314.

41348057040 is a `hidden beast` number, since 4 + 1 + 3 + 4 + 80 + 570 + 4 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 12119367744 + 29228689296 = 110088^2 + 170964^2 .

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 = 41348056986 and 41348057004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 3183957 + ... + 3196916.

Almost surely, 241348057040 is an apocalyptic number.

41348057040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

41348057040 is an abundant number, since it is smaller than the sum of its proper divisors (102259893204).

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

41348057040 is a wasteful number, since it uses less digits than its factorization.

41348057040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6380898 (or 6380883 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The spelling of 41348057040 in words is "forty-one billion, three hundred forty-eight million, fifty-seven thousand, 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 81 90 108 120 135 144 162 180 216 240 270 324 360 405 432 540 648 720 810 1080 1296 1620 2160 3240 6480 6380873 12761746 19142619 25523492 31904365 38285238 51046984 57427857 63808730 76570476 95713095 102093968 114855714 127617460 153140952 172283571 191426190 229711428 255234920 287139285 306281904 344567142 382852380 459422856 510469840 516850713 574278570 689134284 765704760 861417855 918845712 1033701426 1148557140 1378268568 1531409520 1722835710 2067402852 2297114280 2584253565 2756537136 3445671420 4134805704 4594228560 5168507130 6891342840 8269611408 10337014260 13782685680 20674028520 41348057040