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42320233202324 = 2271110110313208051
BaseRepresentation
bin10011001111101011100100…
…11101111000001010010100
312112211202220211001001201112
421213311302131320022110
521021333314144433244
6230001351410114152
711625351554622260
oct1147656235701224
9175752824031645
1042320233202324
1112536a013a1570
1248b5b4057b958
131a7ca1c7460ac
14a6444b3390a0
154d5ca683b39e
hex267d72778294

42320233202324 has 96 divisors (see below), whose sum is σ = 94154602493952. Its totient is φ = 16166653200000.

The previous prime is 42320233202201. The next prime is 42320233202327.

42320233202324 is nontrivially palindromic in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42320233202327) 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, 3399902 + ... + 9808149.

It is an arithmetic number, because the mean of its divisors is an integer number (980777109312).

Almost surely, 242320233202324 is an apocalyptic number.

42320233202324 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

42320233202324 is an abundant number, since it is smaller than the sum of its proper divisors (51834369291628).

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

42320233202324 is a wasteful number, since it uses less digits than its factorization.

42320233202324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13208277 (or 13208275 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 32.

It can be divided in two parts, 4232023 and 3202324, that added together give a palindrome (7434347).

The spelling of 42320233202324 in words is "forty-two trillion, three hundred twenty billion, two hundred thirty-three million, two hundred two thousand, three hundred twenty-four".

Divisors: 1 2 4 7 11 14 22 28 44 77 101 103 154 202 206 308 404 412 707 721 1111 1133 1414 1442 2222 2266 2828 2884 4444 4532 7777 7931 10403 15554 15862 20806 31108 31724 41612 72821 114433 145642 228866 291284 457732 801031 1602062 3204124 13208051 26416102 52832204 92456357 145288561 184912714 290577122 369825428 581154244 1017019927 1334013151 1360429253 2034039854 2668026302 2720858506 4068079708 5336052604 5441717012 9338092057 9523004771 14674144661 14964721783 18676184114 19046009542 29348289322 29929443566 37352368228 38092019084 58696578644 59858887132 102719012627 104753052481 137403354553 205438025254 209506104962 274806709106 410876050508 419012209924 549613418212 961823481871 1511436900083 1923646963742 3022873800166 3847293927484 6045747600332 10580058300581 21160116601162 42320233202324