Search a number
-
+
416326640730 = 2357111334739953
BaseRepresentation
bin1100000111011110000…
…00000110010001011010
31110210121112000122122020
412003233000012101122
523310114110000410
6515131404435310
742035651025450
oct6035700062132
91423545018566
10416326640730
11150621598210
126882ab48b36
133034ac8c2c0
14162166809d0
15ac69e11a70
hex60ef00645a

416326640730 has 256 divisors, whose sum is σ = 1345461497856. Its totient is φ = 79622737920.

The previous prime is 416326640707. The next prime is 416326640731. The reversal of 416326640730 is 37046623614.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (416326640731) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 10400434 + ... + 10440386.

It is an arithmetic number, because the mean of its divisors is an integer number (5255708976).

Almost surely, 2416326640730 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 416326640730, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (672730748928).

416326640730 is an abundant number, since it is smaller than the sum of its proper divisors (929134857126).

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

416326640730 is a wasteful number, since it uses less digits than its factorization.

416326640730 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40341.

The product of its (nonzero) digits is 435456, while the sum is 42.

The spelling of 416326640730 in words is "four hundred sixteen billion, three hundred twenty-six million, six hundred forty thousand, seven hundred thirty".