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314219421036 = 2232312371118751
BaseRepresentation
bin1001001001010001110…
…11111101110101101100
31010001001111021110101200
410210220323331311230
520122010132433121
6400203404405500
731462436003343
oct4445073756554
91101044243350
10314219421036
11111294742834
1250a93546890
1323827a34801
14112cb814b5a
158290bd5a26
hex4928efdd6c

314219421036 has 72 divisors (see below), whose sum is σ = 820251414528. Its totient is φ = 101317500000.

The previous prime is 314219421017. The next prime is 314219421049. The reversal of 314219421036 is 630124912413.

314219421036 is a `hidden beast` number, since 3 + 14 + 219 + 421 + 0 + 3 + 6 = 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 polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2586661 + ... + 2705411.

Almost surely, 2314219421036 is an apocalyptic number.

314219421036 is a gapful number since it is divisible by the number (36) 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 314219421036, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (410125707264).

314219421036 is an abundant number, since it is smaller than the sum of its proper divisors (506031993492).

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

314219421036 is a wasteful number, since it uses less digits than its factorization.

314219421036 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121163 (or 121158 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The spelling of 314219421036 in words is "three hundred fourteen billion, two hundred nineteen million, four hundred twenty-one thousand, thirty-six".

Divisors: 1 2 3 4 6 9 12 18 31 36 62 93 124 186 279 372 558 1116 2371 4742 7113 9484 14226 21339 28452 42678 73501 85356 118751 147002 220503 237502 294004 356253 441006 475004 661509 712506 882012 1068759 1323018 1425012 2137518 2646036 3681281 4275036 7362562 11043843 14725124 22087686 33131529 44175372 66263058 132526116 281558621 563117242 844675863 1126234484 1689351726 2534027589 3378703452 5068055178 8728317251 10136110356 17456634502 26184951753 34913269004 52369903506 78554855259 104739807012 157109710518 314219421036