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420934451112 = 23337439634159
BaseRepresentation
bin1100010000000011010…
…01011111111110101000
31111020111122102200012000
412020001221133332220
523344033204413422
6521212530051000
742261101541120
oct6100151377650
91436448380160
10420934451112
1115257658436a
12696b6119a60
13309037b2616
1416532611c80
15ae396e8cac
hex6201a5ffa8

420934451112 has 128 divisors (see below), whose sum is σ = 1339345920000. Its totient is φ = 119992840128.

The previous prime is 420934451101. The next prime is 420934451129. The reversal of 420934451112 is 211154439024.

420934451112 is a `hidden beast` number, since 4 + 2 + 0 + 93 + 4 + 451 + 112 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 346689 + ... + 980847.

It is an arithmetic number, because the mean of its divisors is an integer number (10463640000).

Almost surely, 2420934451112 is an apocalyptic number.

420934451112 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 420934451112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (669672960000).

420934451112 is an abundant number, since it is smaller than the sum of its proper divisors (918411468888).

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

420934451112 is a wasteful number, since it uses less digits than its factorization.

420934451112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 634620 (or 634610 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 420934451112 in words is "four hundred twenty billion, nine hundred thirty-four million, four hundred fifty-one thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 84 108 126 168 189 216 252 378 439 504 756 878 1317 1512 1756 2634 3073 3512 3951 5268 6146 7902 9219 10536 11853 12292 15804 18438 23706 24584 27657 31608 36876 47412 55314 73752 82971 94824 110628 165942 221256 331884 634159 663768 1268318 1902477 2536636 3804954 4439113 5073272 5707431 7609908 8878226 11414862 13317339 15219816 17122293 17756452 22829724 26634678 34244586 35512904 39952017 45659448 53269356 68489172 79904034 106538712 119856051 136978344 159808068 239712102 278395801 319616136 479424204 556791602 835187403 958848408 1113583204 1670374806 1948770607 2227166408 2505562209 3340749612 3897541214 5011124418 5846311821 6681499224 7516686627 7795082428 10022248836 11692623642 15033373254 15590164856 17538935463 20044497672 23385247284 30066746508 35077870926 46770494568 52616806389 60133493016 70155741852 105233612778 140311483704 210467225556 420934451112