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420434103420 = 223351395601307
BaseRepresentation
bin1100001111000111101…
…00110100110001111100
31111012012202221101012000
412013203310310301330
523342022112302140
6521051133542300
742242514625362
oct6074364646174
91435182841160
10420434103420
1115233a0aa781
1269596644990
1330853c381b6
14164c5da9632
15ae0a812a30
hex61e3d34c7c

420434103420 has 96 divisors (see below), whose sum is σ = 1317427641600. Its totient is φ = 111309152832.

The previous prime is 420434103359. The next prime is 420434103493. The reversal of 420434103420 is 24301434024.

It is a happy number.

420434103420 is a `hidden beast` number, since 4 + 204 + 3 + 410 + 3 + 42 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2725594 + ... + 2875713.

It is an arithmetic number, because the mean of its divisors is an integer number (13723204600).

Almost surely, 2420434103420 is an apocalyptic number.

It is an amenable number.

420434103420 is an abundant number, since it is smaller than the sum of its proper divisors (896993538180).

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

420434103420 is a wasteful number, since it uses less digits than its factorization.

420434103420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5601464 (or 5601456 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 420434103420 its reverse (24301434024), we get a palindrome (444735537444).

The spelling of 420434103420 in words is "four hundred twenty billion, four hundred thirty-four million, one hundred three thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 139 180 270 278 417 540 556 695 834 1251 1390 1668 2085 2502 2780 3753 4170 5004 6255 7506 8340 12510 15012 18765 25020 37530 75060 5601307 11202614 16803921 22405228 28006535 33607842 50411763 56013070 67215684 84019605 100823526 112026140 151235289 168039210 201647052 252058815 302470578 336078420 504117630 604941156 756176445 778581673 1008235260 1512352890 1557163346 2335745019 3024705780 3114326692 3892908365 4671490038 7007235057 7785816730 9342980076 11678725095 14014470114 15571633460 21021705171 23357450190 28028940228 35036175285 42043410342 46714900380 70072350570 84086820684 105108525855 140144701140 210217051710 420434103420