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43001000400 = 24352377313267
BaseRepresentation
bin101000000011000011…
…110011000111010000
311002222210222011010110
4220003003303013100
51201031224003100
631430540401320
73051414321051
oct500303630720
9132883864113
1043001000400
1117266a42066
128400b46240
134093a27247
14211cd94728
1511ba1c7250
hexa030f31d0

43001000400 has 240 divisors, whose sum is σ = 143418163904. Its totient is φ = 11003351040.

The previous prime is 43001000369. The next prime is 43001000401. The reversal of 43001000400 is 400010034.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (43001000401) 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, 3234567 + ... + 3247833.

Almost surely, 243001000400 is an apocalyptic number.

43001000400 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 43001000400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71709081952).

43001000400 is an abundant number, since it is smaller than the sum of its proper divisors (100417163504).

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

43001000400 is a wasteful number, since it uses less digits than its factorization.

43001000400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13398 (or 13387 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

Adding to 43001000400 its reverse (400010034), we get a palindrome (43401010434).

The spelling of 43001000400 in words is "forty-three billion, one million, four hundred", and thus it is an aban number.