Search a number
-
+
420306126204 = 223536111879127
BaseRepresentation
bin1100001110111000011…
…00101000010101111100
31111011212212010110110010
412013130030220111330
523341241332014304
6521030322543220
742236402061066
oct6073414502574
91434785113403
10420306126204
1115228393a588
126955b807b10
133083357a333
14164b2db4736
15adee483789
hex61dc32857c

420306126204 has 96 divisors (see below), whose sum is σ = 1016565935616. Its totient is φ = 135076481280.

The previous prime is 420306126187. The next prime is 420306126241. The reversal of 420306126204 is 402621603024.

It is a super-2 number, since 2×4203061262042 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 46046289 + ... + 46055415.

It is an arithmetic number, because the mean of its divisors is an integer number (10589228496).

Almost surely, 2420306126204 is an apocalyptic number.

It is an amenable number.

420306126204 is an abundant number, since it is smaller than the sum of its proper divisors (596259809412).

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

420306126204 is a wasteful number, since it uses less digits than its factorization.

420306126204 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10435 (or 10433 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

Adding to 420306126204 its reverse (402621603024), we get a palindrome (822927729228).

The spelling of 420306126204 in words is "four hundred twenty billion, three hundred six million, one hundred twenty-six thousand, two hundred four".

Divisors: 1 2 3 4 6 12 53 61 106 122 159 183 212 244 318 366 636 732 1187 2374 3233 3561 4748 6466 7122 9127 9699 12932 14244 18254 19398 27381 36508 38796 54762 62911 72407 109524 125822 144814 188733 217221 251644 289628 377466 434442 483731 556747 754932 868884 967462 1113494 1451193 1670241 1934924 2226988 2902386 3340482 3837571 5804772 6680964 7675142 10833749 11512713 15350284 21667498 23025426 29507591 32501247 43334996 46050852 59015182 65002494 88522773 118030364 130004988 177045546 354091092 574188697 660858689 1148377394 1321717378 1722566091 1982576067 2296754788 2643434756 3445132182 3965152134 6890264364 7930304268 35025510517 70051021034 105076531551 140102042068 210153063102 420306126204