Search a number
-
+
414422131100 = 225210938020379
BaseRepresentation
bin1100000011111010111…
…10111110000110011100
31110121200210100112120112
412001331132332012130
523242214031143400
6514214412305152
741640523664315
oct6017536760634
91417623315515
10414422131100
1114a834541a0a
12683991721b8
1330106539c23
14160b576160c
15aba7b12835
hex607d7be19c

414422131100 has 36 divisors (see below), whose sum is σ = 907546470600. Its totient is φ = 164248032960.

The previous prime is 414422131091. The next prime is 414422131127. The reversal of 414422131100 is 1131224414.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 18999290 + ... + 19021089.

Almost surely, 2414422131100 is an apocalyptic number.

It is an amenable number.

414422131100 is an abundant number, since it is smaller than the sum of its proper divisors (493124339500).

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

414422131100 is a wasteful number, since it uses less digits than its factorization.

414422131100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38020502 (or 38020495 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 23.

Adding to 414422131100 its reverse (1131224414), we get a palindrome (415553355514).

The spelling of 414422131100 in words is "four hundred fourteen billion, four hundred twenty-two million, one hundred thirty-one thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 109 218 436 545 1090 2180 2725 5450 10900 38020379 76040758 152081516 190101895 380203790 760407580 950509475 1901018950 3802037900 4144221311 8288442622 16576885244 20721106555 41442213110 82884426220 103605532775 207211065550 414422131100