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42304020144 = 24319145931793
BaseRepresentation
bin100111011001100001…
…000001111010110000
311001012020110212221220
4213121201001322300
51143114312121034
631233441545040
73025222144461
oct473141017260
9131166425856
1042304020144
1116a39575521
128247645180
133cb25044a9
1420945a4d68
151178dee749
hex9d9841eb0

42304020144 has 80 divisors (see below), whose sum is σ = 115119715200. Its totient is φ = 13349587968.

The previous prime is 42304020139. The next prime is 42304020151. The reversal of 42304020144 is 44102040324.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 1314712 + ... + 1346504.

It is an arithmetic number, because the mean of its divisors is an integer number (1438996440).

Almost surely, 242304020144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42304020144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57559857600).

42304020144 is an abundant number, since it is smaller than the sum of its proper divisors (72815695056).

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

42304020144 is a wasteful number, since it uses less digits than its factorization.

42304020144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33282 (or 33276 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 42304020144 its reverse (44102040324), we get a palindrome (86406060468).

The spelling of 42304020144 in words is "forty-two billion, three hundred four million, twenty thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 19 24 38 48 57 76 114 152 228 304 456 912 1459 2918 4377 5836 8754 11672 17508 23344 27721 31793 35016 55442 63586 70032 83163 95379 110884 127172 166326 190758 221768 254344 332652 381516 443536 508688 604067 665304 763032 1208134 1330608 1526064 1812201 2416268 3624402 4832536 7248804 9665072 14497608 28995216 46385987 92771974 139157961 185543948 278315922 371087896 556631844 742175792 881333753 1113263688 1762667506 2226527376 2644001259 3525335012 5288002518 7050670024 10576005036 14101340048 21152010072 42304020144