Search a number
-
+
420416420634 = 233710211108923
BaseRepresentation
bin1100001111000101100…
…01010111101100011010
31111012011112122222222000
412013202301113230122
523342003100430014
6521045302541430
742242211420150
oct6074261275432
91435145588860
10420416420634
11152330122401
1269590737876
1330850386702
14164c38c53d0
15ae08ebd509
hex61e2c57b1a

420416420634 has 64 divisors (see below), whose sum is σ = 1067838612480. Its totient is φ = 120106110960.

The previous prime is 420416420629. The next prime is 420416420687. The reversal of 420416420634 is 436024614024.

420416420634 is a `hidden beast` number, since 4 + 2 + 0 + 4 + 1 + 642 + 0 + 6 + 3 + 4 = 666.

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, 3805297 + ... + 3914219.

It is an arithmetic number, because the mean of its divisors is an integer number (16684978320).

Almost surely, 2420416420634 is an apocalyptic number.

420416420634 is an abundant number, since it is smaller than the sum of its proper divisors (647422191846).

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

420416420634 is a wasteful number, since it uses less digits than its factorization.

420416420634 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119152 (or 119146 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

The spelling of 420416420634 in words is "four hundred twenty billion, four hundred sixteen million, four hundred twenty thousand, six hundred thirty-four".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 126 189 378 10211 20422 30633 61266 71477 91899 108923 142954 183798 214431 217846 275697 326769 428862 551394 643293 653538 762461 980307 1286586 1524922 1929879 1960614 2287383 2940921 3859758 4574766 5881842 6862149 13724298 20586447 41172894 1112212753 2224425506 3336638259 6673276518 7785489271 10009914777 15570978542 20019829554 23356467813 30029744331 46712935626 60059488662 70069403439 140138806878 210208210317 420416420634