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10233641440 = 255115814569
BaseRepresentation
bin10011000011111100…
…01111100111100000
3222102012101211221001
421201332033213200
5131424303011230
64411250241344
7511412342221
oct114176174740
928365354831
1010233641440
114381695310
121b97286254
13c71223049
146d11c1248
153ed6600ca
hex261f8f9e0

10233641440 has 48 divisors (see below), whose sum is σ = 26374889520. Its totient is φ = 3721323520.

The previous prime is 10233641417. The next prime is 10233641449. The reversal of 10233641440 is 4414633201.

It is a junction number, because it is equal to n+sod(n) for n = 10233641399 and 10233641408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10233641449) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2905525 + ... + 2909044.

It is an arithmetic number, because the mean of its divisors is an integer number (549476865).

Almost surely, 210233641440 is an apocalyptic number.

10233641440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10233641440 is an abundant number, since it is smaller than the sum of its proper divisors (16141248080).

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

10233641440 is a wasteful number, since it uses less digits than its factorization.

10233641440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5814595 (or 5814587 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

It can be divided in two parts, 1023 and 3641440, that added together give a palindrome (3642463).

The spelling of 10233641440 in words is "ten billion, two hundred thirty-three million, six hundred forty-one thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 80 88 110 160 176 220 352 440 880 1760 5814569 11629138 23258276 29072845 46516552 58145690 63960259 93033104 116291380 127920518 186066208 232582760 255841036 319801295 465165520 511682072 639602590 930331040 1023364144 1279205180 2046728288 2558410360 5116820720 10233641440