Search a number
-
+
423238379760 = 2432571731159347
BaseRepresentation
bin1100010100010101111…
…10010010100011110000
31111110110012200101010200
412022022332102203300
523413243011123020
6522233311155200
742402145604220
oct6121276224360
91443405611120
10423238379760
11153549039029
126a039815b00
1330bacc01a01
14166b05c4080
15b021ae4590
hex628af928f0

423238379760 has 480 divisors, whose sum is σ = 1775478362112. Its totient is φ = 88111964160.

The previous prime is 423238379737. The next prime is 423238379761. The reversal of 423238379760 is 67973832324.

423238379760 is a `hidden beast` number, since 4 + 232 + 38 + 379 + 7 + 6 + 0 = 666.

It is a super-2 number, since 2×4232383797602 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 423238379697 and 423238379706.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (423238379761) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2576407 + ... + 2735753.

Almost surely, 2423238379760 is an apocalyptic number.

423238379760 is a gapful number since it is divisible by the number (40) 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 423238379760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (887739181056).

423238379760 is an abundant number, since it is smaller than the sum of its proper divisors (1352239982352).

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

423238379760 is a wasteful number, since it uses less digits than its factorization.

423238379760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159421 (or 159412 counting only the distinct ones).

The product of its (nonzero) digits is 9144576, while the sum is 54.

The spelling of 423238379760 in words is "four hundred twenty-three billion, two hundred thirty-eight million, three hundred seventy-nine thousand, seven hundred sixty".