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34081414440 = 2335585748491
BaseRepresentation
bin11111101111011010…
…010001110100101000
310020222012012020102220
4133233122101310220
51024244320230230
623353510554040
72314366146213
oct375732216450
9106865166386
1034081414440
11134aa085117
126731968920
1332a1b20928
14191451277a
15d470d1d10
hex7ef691d28

34081414440 has 64 divisors (see below), whose sum is σ = 102263808960. Its totient is φ = 9086638080.

The previous prime is 34081414403. The next prime is 34081414441. The reversal of 34081414440 is 4441418043.

It is not an unprimeable number, because it can be changed into a prime (34081414441) 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, 678595 + ... + 727085.

It is an arithmetic number, because the mean of its divisors is an integer number (1597872015).

Almost surely, 234081414440 is an apocalyptic number.

34081414440 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

34081414440 is an abundant number, since it is smaller than the sum of its proper divisors (68182394520).

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

34081414440 is a wasteful number, since it uses less digits than its factorization.

34081414440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54362 (or 54358 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 33.

The spelling of 34081414440 in words is "thirty-four billion, eighty-one 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 5857 11714 17571 23428 29285 35142 46856 48491 58570 70284 87855 96982 117140 140568 145473 175710 193964 234280 242455 290946 351420 387928 484910 581892 702840 727365 969820 1163784 1454730 1939640 2909460 5818920 284011787 568023574 852035361 1136047148 1420058935 1704070722 2272094296 2840117870 3408141444 4260176805 5680235740 6816282888 8520353610 11360471480 17040707220 34081414440