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42230845040 = 2456761312853
BaseRepresentation
bin100111010101001001…
…111000111001110000
311001000010210012120212
4213111021320321300
51142442044020130
631222305323252
73023343155126
oct472511707160
9131003705525
1042230845040
1116a01235a2a
128227036528
133ca02c3707
142088997916
151172797e95
hex9d5278e70

42230845040 has 80 divisors (see below), whose sum is σ = 99822518688. Its totient is φ = 16611775488.

The previous prime is 42230845037. The next prime is 42230845043. The reversal of 42230845040 is 4054803224.

42230845040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (42230845037) and next prime (42230845043).

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 42230844988 and 42230845006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42230845043) 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, 3279254 + ... + 3292106.

Almost surely, 242230845040 is an apocalyptic number.

42230845040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42230845040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49911259344).

42230845040 is an abundant number, since it is smaller than the sum of its proper divisors (57591673648).

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

42230845040 is a wasteful number, since it uses less digits than its factorization.

42230845040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13546 (or 13540 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 32.

The spelling of 42230845040 in words is "forty-two billion, two hundred thirty million, eight hundred forty-five thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 40 67 80 134 268 335 536 613 670 1072 1226 1340 2452 2680 3065 4904 5360 6130 9808 12260 12853 24520 25706 41071 49040 51412 64265 82142 102824 128530 164284 205355 205648 257060 328568 410710 514120 657136 821420 861151 1028240 1642840 1722302 3285680 3444604 4305755 6889208 7878889 8611510 13778416 15757778 17223020 31515556 34446040 39394445 63031112 68892080 78788890 126062224 157577780 315155560 527885563 630311120 1055771126 2111542252 2639427815 4223084504 5278855630 8446169008 10557711260 21115422520 42230845040