Search a number
-
+
15042443310 = 2335409136217
BaseRepresentation
bin11100000001001100…
…10111100000101110
31102211100000021222000
432000212113200232
5221301331141220
610524351433130
71041523441566
oct160046274056
942740007860
1015042443310
11641a081334
122ab98257a6
131559589a3b
14a29b11da6
155d08ea390
hex38099782e

15042443310 has 64 divisors (see below), whose sum is σ = 40211553600. Its totient is φ = 4001481216.

The previous prime is 15042443261. The next prime is 15042443327. The reversal of 15042443310 is 1334424051.

It is a happy number.

15042443310 is a `hidden beast` number, since 150 + 42 + 443 + 31 + 0 = 666.

It is a super-2 number, since 2×150424433102 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 42322 + ... + 178538.

It is an arithmetic number, because the mean of its divisors is an integer number (628305525).

Almost surely, 215042443310 is an apocalyptic number.

15042443310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 15042443310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20105776800).

15042443310 is an abundant number, since it is smaller than the sum of its proper divisors (25169110290).

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

15042443310 is a wasteful number, since it uses less digits than its factorization.

15042443310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136642 (or 136636 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 15042443310 its reverse (1334424051), we get a palindrome (16376867361).

The spelling of 15042443310 in words is "fifteen billion, forty-two million, four hundred forty-three thousand, three hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 135 270 409 818 1227 2045 2454 3681 4090 6135 7362 11043 12270 18405 22086 36810 55215 110430 136217 272434 408651 681085 817302 1225953 1362170 2043255 2451906 3677859 4086510 6129765 7355718 12259530 18389295 36778590 55712753 111425506 167138259 278563765 334276518 501414777 557127530 835691295 1002829554 1504244331 1671382590 2507073885 3008488662 5014147770 7521221655 15042443310