Search a number
-
+
23830281744 = 2434179153277
BaseRepresentation
bin10110001100011001…
…010011111000010000
32021111202212202000120
4112030121103320100
5342301023003434
614540353350240
71502352024033
oct261431237020
967452782016
1023830281744
11a119633425
124750868380
13232a0b5339
141220c9b01a
15947169349
hex58c653e10

23830281744 has 80 divisors (see below), whose sum is σ = 63861745920. Its totient is φ = 7651537920.

The previous prime is 23830281731. The next prime is 23830281763. The reversal of 23830281744 is 44718203832.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 23830281696 and 23830281705.

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, 78834 + ... + 232110.

It is an arithmetic number, because the mean of its divisors is an integer number (798271824).

Almost surely, 223830281744 is an apocalyptic number.

23830281744 is a gapful number since it is divisible by the number (24) 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 23830281744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31930872960).

23830281744 is an abundant number, since it is smaller than the sum of its proper divisors (40031464176).

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

23830281744 is a wasteful number, since it uses less digits than its factorization.

23830281744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153408 (or 153402 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 42.

The spelling of 23830281744 in words is "twenty-three billion, eight hundred thirty million, two hundred eighty-one thousand, seven hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 41 48 79 82 123 158 164 237 246 316 328 474 492 632 656 948 984 1264 1896 1968 3239 3792 6478 9717 12956 19434 25912 38868 51824 77736 153277 155472 306554 459831 613108 919662 1226216 1839324 2452432 3678648 6284357 7357296 12108883 12568714 18853071 24217766 25137428 36326649 37706142 48435532 50274856 72653298 75412284 96871064 100549712 145306596 150824568 193742128 290613192 301649136 496464203 581226384 992928406 1489392609 1985856812 2978785218 3971713624 5957570436 7943427248 11915140872 23830281744