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420300141345 = 32572307620887
BaseRepresentation
bin1100001110110111101…
…01110011001100100001
31111011212102212101202200
412013123311303030201
523341233314010340
6521025550403413
742236300153400
oct6073365631441
91434772771680
10420300141345
11152280522017
1269559800569
13308322631b6
14164b2297637
15adedba0330
hex61dbd73321

420300141345 has 72 divisors (see below), whose sum is σ = 850224158784. Its totient is φ = 191511044928.

The previous prime is 420300141307. The next prime is 420300141361. The reversal of 420300141345 is 543141003024.

It is a happy number.

420300141345 is a `hidden beast` number, since 4 + 2 + 0 + 300 + 14 + 1 + 345 = 666.

It is not a de Polignac number, because 420300141345 - 26 = 420300141281 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 366492 + ... + 987378.

It is an arithmetic number, because the mean of its divisors is an integer number (11808668872).

Almost surely, 2420300141345 is an apocalyptic number.

420300141345 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

420300141345 is an abundant number, since it is smaller than the sum of its proper divisors (429924017439).

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

420300141345 is a wasteful number, since it uses less digits than its factorization.

420300141345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 621219 (or 621209 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 420300141345 its reverse (543141003024), we get a palindrome (963441144369).

The spelling of 420300141345 in words is "four hundred twenty billion, three hundred million, one hundred forty-one thousand, three hundred forty-five".

Divisors: 1 3 5 7 9 15 21 35 45 49 63 105 147 245 307 315 441 735 921 1535 2149 2205 2763 4605 6447 10745 13815 15043 19341 32235 45129 75215 96705 135387 225645 620887 676935 1862661 3104435 4346209 5587983 9313305 13038627 21731045 27939915 30423463 39115881 65193135 91270389 152117315 190612309 195579405 273811167 456351945 571836927 953061545 1334286163 1369055835 1715510781 2859184635 4002858489 6671430815 8577553905 9340003141 12008575467 20014292445 28020009423 46700015705 60042877335 84060028269 140100047115 420300141345