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42324004140 = 223511373171923
BaseRepresentation
bin100111011010101101…
…010000110100101100
311001020122002011211220
4213122231100310230
51143134421113030
631235434143340
73025554046035
oct473255206454
9131218064756
1042324004140
1116a49884820
128252281b50
133cb66b0542
1420970c7a8c
15117aa4aa10
hex9dab50d2c

42324004140 has 96 divisors (see below), whose sum is σ = 129627945216. Its totient is φ = 10232797440.

The previous prime is 42324004133. The next prime is 42324004141. The reversal of 42324004140 is 4140042324.

It is a happy number.

42324004140 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 42324004140.

It is not an unprimeable number, because it can be changed into a prime (42324004141) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 160219 + ... + 332141.

It is an arithmetic number, because the mean of its divisors is an integer number (1350291096).

Almost surely, 242324004140 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 42324004140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64813972608).

42324004140 is an abundant number, since it is smaller than the sum of its proper divisors (87303941076).

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

42324004140 is a wasteful number, since it uses less digits than its factorization.

42324004140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172319 (or 172317 counting only the distinct ones).

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

Adding to 42324004140 its reverse (4140042324), we get a palindrome (46464046464).

The spelling of 42324004140 in words is "forty-two billion, three hundred twenty-four million, four thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 330 373 660 746 1119 1492 1865 2238 3730 4103 4476 5595 7460 8206 11190 12309 16412 20515 22380 24618 41030 49236 61545 82060 123090 171923 246180 343846 515769 687692 859615 1031538 1719230 1891153 2063076 2578845 3438460 3782306 5157690 5673459 7564612 9455765 10315380 11346918 18911530 22693836 28367295 37823060 56734590 64127279 113469180 128254558 192381837 256509116 320636395 384763674 641272790 705400069 769527348 961909185 1282545580 1410800138 1923818370 2116200207 2821600276 3527000345 3847636740 4232400414 7054000690 8464800828 10581001035 14108001380 21162002070 42324004140