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434140022040 = 233531116704307
BaseRepresentation
bin1100101000101001100…
…00110000010100011000
31112111120222001011221120
412110110300300110120
524103104321201130
6531235143205240
743236252204654
oct6242460602430
91474528034846
10434140022040
111581327a724a
1270180746820
1331c2963c20a
14170263ada64
15b45dc05910
hex6514c30518

434140022040 has 64 divisors (see below), whose sum is σ = 1344433628160. Its totient is φ = 112036133760.

The previous prime is 434140021951. The next prime is 434140022051. The reversal of 434140022040 is 40220041434.

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 434140022040.

It is a congruent number.

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, 58348434 + ... + 58355873.

It is an arithmetic number, because the mean of its divisors is an integer number (21006775440).

Almost surely, 2434140022040 is an apocalyptic number.

434140022040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

434140022040 is an abundant number, since it is smaller than the sum of its proper divisors (910293606120).

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

434140022040 is a wasteful number, since it uses less digits than its factorization.

434140022040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116704352 (or 116704348 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 434140022040 its reverse (40220041434), we get a palindrome (474360063474).

The spelling of 434140022040 in words is "four hundred thirty-four billion, one hundred forty million, twenty-two thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 31 40 60 62 93 120 124 155 186 248 310 372 465 620 744 930 1240 1860 3720 116704307 233408614 350112921 466817228 583521535 700225842 933634456 1167043070 1400451684 1750564605 2334086140 2800903368 3501129210 3617833517 4668172280 7002258420 7235667034 10853500551 14004516840 14471334068 18089167585 21707001102 28942668136 36178335170 43414002204 54267502755 72356670340 86828004408 108535005510 144713340680 217070011020 434140022040