Search a number
-
+
1034429234160 = 2435717531275381
BaseRepresentation
bin11110000110110001100…
…10010111101111110000
310122220001011002201212210
433003120302113233300
5113422002340443120
62111113224252120
7134510056262010
oct17033062275760
93586034081783
101034429234160
11369776376123
12148590311040
137671418b14a
14380d0c19c40
151bd94150ce0
hexf0d8c97bf0

1034429234160 has 640 divisors, whose sum is σ = 3985500340224. Its totient is φ = 216574525440.

The previous prime is 1034429234141. The next prime is 1034429234171. The reversal of 1034429234160 is 614329244301.

It is a happy number.

It is a super-2 number, since 2×10344292341602 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 192234670 + ... + 192240050.

Almost surely, 21034429234160 is an apocalyptic number.

1034429234160 is a gapful number since it is divisible by the number (10) 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 1034429234160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1992750170112).

1034429234160 is an abundant number, since it is smaller than the sum of its proper divisors (2951071106064).

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

1034429234160 is a wasteful number, since it uses less digits than its factorization.

1034429234160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5601 (or 5595 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 39.

The spelling of 1034429234160 in words is "one trillion, thirty-four billion, four hundred twenty-nine million, two hundred thirty-four thousand, one hundred sixty".