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420211242112024 = 2311339463865713
BaseRepresentation
bin101111110001011100000110…
…1110100010001010000011000
32001002211210122222000202210101
41133202320031310101100120
5420034220110440041044
64045414214000425144
7154340155211204116
oct13742701564212030
92032753588022711
10420211242112024
1111198a650319000
123b1679069181b4
1315061999c8853c
1475aa492a7cab6
15338a9d339ecd4
hex17e2e0dd11418

420211242112024 has 32 divisors (see below), whose sum is σ = 866626491079440. Its totient is φ = 191005110046080.

The previous prime is 420211242112007. The next prime is 420211242112049.

420211242112024 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 420211242111983 and 420211242112001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19731922209 + ... + 19731943504.

Almost surely, 2420211242112024 is an apocalyptic number.

420211242112024 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

420211242112024 is an abundant number, since it is smaller than the sum of its proper divisors (446415248967416).

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

420211242112024 is a wasteful number, since it uses less digits than its factorization.

420211242112024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39463865752 (or 39463865726 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 28.

The spelling of 420211242112024 in words is "four hundred twenty trillion, two hundred eleven billion, two hundred forty-two million, one hundred twelve thousand, twenty-four".

Divisors: 1 2 4 8 11 22 44 88 121 242 484 968 1331 2662 5324 10648 39463865713 78927731426 157855462852 315710925704 434102522843 868205045686 1736410091372 3472820182744 4775127751273 9550255502546 19100511005092 38201022010184 52526405264003 105052810528006 210105621056012 420211242112024