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2909144040 = 23351117129641
BaseRepresentation
bin1010110101100110…
…0000001111101000
321111202001211101120
42231121200033220
521424220102130
61200401015240
7132043213335
oct25531401750
97452054346
102909144040
111263154a80
12692324520
13374922b0a
141d851598c
151205e8910
hexad6603e8

2909144040 has 128 divisors (see below), whose sum is σ = 10080961920. Its totient is φ = 663756800.

The previous prime is 2909144033. The next prime is 2909144081. The reversal of 2909144040 is 404419092.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 2909143992 and 2909144010.

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, 42381 + ... + 87260.

It is an arithmetic number, because the mean of its divisors is an integer number (78757515).

Almost surely, 22909144040 is an apocalyptic number.

2909144040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2909144040 is an abundant number, since it is smaller than the sum of its proper divisors (7171817880).

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

2909144040 is a wasteful number, since it uses less digits than its factorization.

2909144040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129683 (or 129679 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

The square root of 2909144040 is about 53936.4815315200. The cubic root of 2909144040 is about 1427.5404016484.

The spelling of 2909144040 in words is "two billion, nine hundred nine million, one hundred forty-four thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 17 20 22 24 30 33 34 40 44 51 55 60 66 68 85 88 102 110 120 132 136 165 170 187 204 220 255 264 330 340 374 408 440 510 561 660 680 748 935 1020 1122 1320 1496 1870 2040 2244 2805 3740 4488 5610 7480 11220 22440 129641 259282 388923 518564 648205 777846 1037128 1296410 1426051 1555692 1944615 2203897 2592820 2852102 3111384 3889230 4278153 4407794 5185640 5704204 6611691 7130255 7778460 8556306 8815588 11019485 11408408 13223382 14260510 15556920 17112612 17631176 21390765 22038970 24242867 26446764 28521020 33058455 34225224 42781530 44077940 48485734 52893528 57042040 66116910 72728601 85563060 88155880 96971468 121214335 132233820 145457202 171126120 193942936 242428670 264467640 290914404 363643005 484857340 581828808 727286010 969714680 1454572020 2909144040