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420542431320 = 233511318592751
BaseRepresentation
bin1100001111010100100…
…10000100000001011000
31111012111022210000010110
412013222102010001120
523342232330300240
6521110003444320
742245301454224
oct6075222040130
91435438700113
10420542431320
1115239526a070
12696069866a0
133087050644b
14164d6527784
15ae150aec80
hex61ea484058

420542431320 has 64 divisors (see below), whose sum is σ = 1376320688640. Its totient is φ = 101949680000.

The previous prime is 420542431319. The next prime is 420542431327. The reversal of 420542431320 is 23134245024.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (420542431327) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 159295056 + ... + 159297695.

It is an arithmetic number, because the mean of its divisors is an integer number (21505010760).

Almost surely, 2420542431320 is an apocalyptic number.

420542431320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

420542431320 is an abundant number, since it is smaller than the sum of its proper divisors (955778257320).

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

420542431320 is a wasteful number, since it uses less digits than its factorization.

420542431320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 318592776 (or 318592772 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 30.

Adding to 420542431320 its reverse (23134245024), we get a palindrome (443676676344).

The spelling of 420542431320 in words is "four hundred twenty billion, five hundred forty-two million, four hundred thirty-one thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 132 165 220 264 330 440 660 1320 318592751 637185502 955778253 1274371004 1592963755 1911556506 2548742008 3185927510 3504520261 3823113012 4778891265 6371855020 7009040522 7646226024 9557782530 10513560783 12743710040 14018081044 17522601305 19115565060 21027121566 28036162088 35045202610 38231130120 42054243132 52567803915 70090405220 84108486264 105135607830 140180810440 210271215660 420542431320