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4108091040 = 25335950947
BaseRepresentation
bin1111010011011100…
…0111111010100000
3101121022002122111000
43310313013322200
531403132403130
61515350352000
7203542124544
oct36467077240
911538078430
104108091040
111818a01669
1296795b600
13506138c01
142ad84da24
151909c7260
hexf4dc7ea0

4108091040 has 96 divisors (see below), whose sum is σ = 14378333760. Its totient is φ = 1095489792.

The previous prime is 4108091033. The next prime is 4108091047. The reversal of 4108091040 is 401908014.

It is an interprime number because it is at equal distance from previous prime (4108091033) and next prime (4108091047).

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 4108090995 and 4108091013.

It is not an unprimeable number, because it can be changed into a prime (4108091047) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 471154 + ... + 479793.

It is an arithmetic number, because the mean of its divisors is an integer number (149774310).

Almost surely, 24108091040 is an apocalyptic number.

4108091040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4108091040 is an abundant number, since it is smaller than the sum of its proper divisors (10270242720).

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

4108091040 is a wasteful number, since it uses less digits than its factorization.

4108091040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 950971 (or 950957 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 4108091040 is about 64094.3916423270. The cubic root of 4108091040 is about 1601.5728075828.

Adding to 4108091040 its reverse (401908014), we get a palindrome (4509999054).

The spelling of 4108091040 in words is "four billion, one hundred eight million, ninety-one thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 72 80 90 96 108 120 135 144 160 180 216 240 270 288 360 432 480 540 720 864 1080 1440 2160 4320 950947 1901894 2852841 3803788 4754735 5705682 7607576 8558523 9509470 11411364 14264205 15215152 17117046 19018940 22822728 25675569 28528410 30430304 34234092 38037880 42792615 45645456 51351138 57056820 68468184 76075760 85585230 91290912 102702276 114113640 128377845 136936368 152151520 171170460 205404552 228227280 256755690 273872736 342340920 410809104 456454560 513511380 684681840 821618208 1027022760 1369363680 2054045520 4108091040