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2014414440 = 2335149112663
BaseRepresentation
bin111100000010001…
…1000011001101000
312012101110212010020
41320010120121220
513111142230230
6531515520440
7100630145253
oct17004303150
95171425106
102014414440
119440a2425
12482759120
1326145330c
1415176c09a
15bbcad810
hex78118668

2014414440 has 64 divisors (see below), whose sum is σ = 6083856000. Its totient is φ = 533567232.

The previous prime is 2014414433. The next prime is 2014414459. The reversal of 2014414440 is 444144102.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 2014414440.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 38452 + ... + 74211.

It is an arithmetic number, because the mean of its divisors is an integer number (95060250).

Almost surely, 22014414440 is an apocalyptic number.

2014414440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2014414440 is an abundant number, since it is smaller than the sum of its proper divisors (4069441560).

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

2014414440 is a wasteful number, since it uses less digits than its factorization.

2014414440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112826 (or 112822 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

The square root of 2014414440 is about 44882.2285542953. The cubic root of 2014414440 is about 1262.9406498943.

Adding to 2014414440 its reverse (444144102), we get a palindrome (2458558542).

The spelling of 2014414440 in words is "two billion, fourteen million, four hundred fourteen thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 149 298 447 596 745 894 1192 1490 1788 2235 2980 3576 4470 5960 8940 17880 112663 225326 337989 450652 563315 675978 901304 1126630 1351956 1689945 2253260 2703912 3379890 4506520 6759780 13519560 16786787 33573574 50360361 67147148 83933935 100720722 134294296 167867870 201441444 251801805 335735740 402882888 503603610 671471480 1007207220 2014414440