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1014404040 = 233351372251
BaseRepresentation
bin111100011101101…
…001001111001000
32121200210001202000
4330131221033020
54034141412130
6244354111000
734065202116
oct7435511710
92550701660
101014404040
11480671851
1224387b460
131322114a0
1498a1aab6
155e0c9260
hex3c7693c8

1014404040 has 128 divisors (see below), whose sum is σ = 3641500800. Its totient is φ = 249696000.

The previous prime is 1014403987. The next prime is 1014404057. The reversal of 1014404040 is 404044101.

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 22086 + ... + 50165.

It is an arithmetic number, because the mean of its divisors is an integer number (28449225).

Almost surely, 21014404040 is an apocalyptic number.

1014404040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1014404040 is an abundant number, since it is smaller than the sum of its proper divisors (2627096760).

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

1014404040 is a wasteful number, since it uses less digits than its factorization.

1014404040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72284 (or 72274 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 1014404040 is about 31849.7102027632. The cubic root of 1014404040 is about 1004.7784764591.

Adding to 1014404040 its reverse (404044101), we get a palindrome (1418448141).

The spelling of 1014404040 in words is "one billion, fourteen million, four hundred four thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 13 15 18 20 24 26 27 30 36 39 40 45 52 54 60 65 72 78 90 104 108 117 120 130 135 156 180 195 216 234 260 270 312 351 360 390 468 520 540 585 702 780 936 1080 1170 1404 1560 1755 2340 2808 3510 4680 7020 14040 72251 144502 216753 289004 361255 433506 578008 650259 722510 867012 939263 1083765 1300518 1445020 1734024 1878526 1950777 2167530 2601036 2817789 2890040 3251295 3757052 3901554 4335060 4696315 5202072 5635578 6502590 7514104 7803108 8453367 8670120 9392630 9753885 11271156 13005180 14088945 15606216 16906734 18785260 19507770 22542312 25360101 26010360 28177890 33813468 37570520 39015540 42266835 50720202 56355780 67626936 78031080 84533670 101440404 112711560 126800505 169067340 202880808 253601010 338134680 507202020 1014404040