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10230342040 = 2352365317029
BaseRepresentation
bin10011000011100011…
…01010000110011000
3222101222012020000001
421201301222012120
5131422431421130
64411051422344
7511342321042
oct114161520630
928358166001
1010230342040
11437a841436
121b961549b4
13c70639339
146d09a2a92
153ed20c6ca
hex261c6a198

10230342040 has 64 divisors (see below), whose sum is σ = 24057259200. Its totient is φ = 3907994112.

The previous prime is 10230342029. The next prime is 10230342053. The reversal of 10230342040 is 4024303201.

It is a junction number, because it is equal to n+sod(n) for n = 10230341999 and 10230342017.

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, 592246 + ... + 609274.

It is an arithmetic number, because the mean of its divisors is an integer number (375894675).

Almost surely, 210230342040 is an apocalyptic number.

10230342040 is a gapful number since it is divisible by the number (10) 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 10230342040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12028629600).

10230342040 is an abundant number, since it is smaller than the sum of its proper divisors (13826917160).

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

10230342040 is a wasteful number, since it uses less digits than its factorization.

10230342040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17716 (or 17712 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 19.

Adding to 10230342040 its reverse (4024303201), we get a palindrome (14254645241).

The spelling of 10230342040 in words is "ten billion, two hundred thirty million, three hundred forty-two thousand, forty".

Divisors: 1 2 4 5 8 10 20 23 40 46 92 115 184 230 460 653 920 1306 2612 3265 5224 6530 13060 15019 17029 26120 30038 34058 60076 68116 75095 85145 120152 136232 150190 170290 300380 340580 391667 600760 681160 783334 1566668 1958335 3133336 3916670 7833340 11119937 15666680 22239874 44479748 55599685 88959496 111199370 222398740 255758551 444797480 511517102 1023034204 1278792755 2046068408 2557585510 5115171020 10230342040