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23443010040032 = 25111075871060349
BaseRepresentation
bin1010101010010010000000…
…10010010011000011100000
310002000010111200021120021022
411111021000102103003200
511033042241032240112
6121505323052145012
74636462433340512
oct525110022230340
9102003450246238
1023443010040032
117519141011840
1227674b4768168
131010887cc28ab
145b090d581bb2
152a9c16d83d72
hex1552404930e0

23443010040032 has 96 divisors (see below), whose sum is σ = 50906368598400. Its totient is φ = 10538332218880.

The previous prime is 23443010040031. The next prime is 23443010040041. The reversal of 23443010040032 is 23004001034432.

It is a super-2 number, since 2×234430100400322 (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 23443010039983 and 23443010040010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23443010040031) 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, 21578594 + ... + 22638942.

It is an arithmetic number, because the mean of its divisors is an integer number (530274672900).

Almost surely, 223443010040032 is an apocalyptic number.

23443010040032 is a gapful number since it is divisible by the number (22) 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 23443010040032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25453184299200).

23443010040032 is an abundant number, since it is smaller than the sum of its proper divisors (27463358558368).

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

23443010040032 is a wasteful number, since it uses less digits than its factorization.

23443010040032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1061064 (or 1061056 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 26.

Adding to 23443010040032 its reverse (23004001034432), we get a palindrome (46447011074464).

The spelling of 23443010040032 in words is "twenty-three trillion, four hundred forty-three billion, ten million, forty thousand, thirty-two".

Divisors: 1 2 4 8 11 16 22 32 44 88 107 176 214 352 428 587 856 1174 1177 1712 2348 2354 3424 4696 4708 6457 9392 9416 12914 18784 18832 25828 37664 51656 62809 103312 125618 206624 251236 502472 690899 1004944 1060349 1381798 2009888 2120698 2763596 4241396 5527192 8482792 11054384 11663839 16965584 22108768 23327678 33931168 46655356 93310712 113457343 186621424 226914686 373242848 453829372 622424863 907658744 1244849726 1248030773 1815317488 2489699452 2496061546 3630634976 4979398904 4992123092 6846673493 9958797808 9984246184 13693346986 19917595616 19968492368 27386693972 39936984736 54773387944 66599460341 109546775888 133198920682 219093551776 266397841364 532795682728 732594063751 1065591365456 1465188127502 2131182730912 2930376255004 5860752510008 11721505020016 23443010040032