Search a number
-
+
43214323800 = 23352538915269
BaseRepresentation
bin101000001111110001…
…100100000001011000
311010112200101002211010
4220033301210001120
51202000331330200
631504040533520
73056614456134
oct501761440130
9133480332733
1043214323800
11173663a509a
1284604812a0
1340c8c979cb
14213d4443c4
1511cdcb4150
hexa0fc64058

43214323800 has 192 divisors, whose sum is σ = 138034692000. Its totient is φ = 11178618880.

The previous prime is 43214323781. The next prime is 43214323807. The reversal of 43214323800 is 832341234.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (43214323807) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2822566 + ... + 2837834.

Almost surely, 243214323800 is an apocalyptic number.

43214323800 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 43214323800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69017346000).

43214323800 is an abundant number, since it is smaller than the sum of its proper divisors (94820368200).

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

43214323800 is a wasteful number, since it uses less digits than its factorization.

43214323800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15430 (or 15421 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

The spelling of 43214323800 in words is "forty-three billion, two hundred fourteen million, three hundred twenty-three thousand, eight hundred".