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420353230551144 = 233119111747801411
BaseRepresentation
bin101111110010011110001110…
…0111111001011100001101000
32001010100101011101022211012220
41133210330130333023201220
5420044031404010114034
64050003335213434040
7154353342626055042
oct13744743477134150
92033311141284186
10420353230551144
11111a34893072960
123b18b33249b920
13150721a77a7717
1475b32c23d6a92
15338e54394d749
hex17e4f1cfcb868

420353230551144 has 64 divisors (see below), whose sum is σ = 1147676319175680. Its totient is φ = 127239942648000.

The previous prime is 420353230551139. The next prime is 420353230551157. The reversal of 420353230551144 is 441155032353024.

It is a junction number, because it is equal to n+sod(n) for n = 420353230551096 and 420353230551105.

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, 873660202 + ... + 874141209.

It is an arithmetic number, because the mean of its divisors is an integer number (17932442487120).

Almost surely, 2420353230551144 is an apocalyptic number.

420353230551144 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

420353230551144 is an abundant number, since it is smaller than the sum of its proper divisors (727323088624536).

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

420353230551144 is a wasteful number, since it uses less digits than its factorization.

420353230551144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1747802342 (or 1747802338 counting only the distinct ones).

The product of its (nonzero) digits is 864000, while the sum is 42.

The spelling of 420353230551144 in words is "four hundred twenty trillion, three hundred fifty-three billion, two hundred thirty million, five hundred fifty-one thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 264 911 1822 2733 3644 5466 7288 10021 10932 20042 21864 30063 40084 60126 80168 120252 240504 1747801411 3495602822 5243404233 6991205644 10486808466 13982411288 19225815521 20973616932 38451631042 41947233864 57677446563 76903262084 115354893126 153806524168 230709786252 461419572504 1592247085421 3184494170842 4776741256263 6368988341684 9553482512526 12737976683368 17514717939631 19106965025052 35029435879262 38213930050104 52544153818893 70058871758524 105088307637786 140117743517048 210176615275572 420353230551144