Search a number
-
+
1423220198400 = 210335271131317
BaseRepresentation
bin10100101101011110100…
…010001100110000000000
312001001120122220002111000
4110231132202030300000
5141304223332322100
63005452432052000
7204552503040330
oct24553642146000
95031518802430
101423220198400
114a9647776000
121ab9b5694000
13a42944a2b40
144cc544570c0
152704b968900
hex14b5e88cc00

1423220198400 has 4224 divisors, whose sum is σ = 7491540510720. Its totient is φ = 256927334400.

The previous prime is 1423220198353. The next prime is 1423220198401. The reversal of 1423220198400 is 48910223241.

1423220198400 is a `hidden beast` number, since 1 + 4 + 23 + 220 + 1 + 9 + 8 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (4224).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1423220198401) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 83718835192 + ... + 83718835208.

Almost surely, 21423220198400 is an apocalyptic number.

1423220198400 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 1423220198400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3745770255360).

1423220198400 is an abundant number, since it is smaller than the sum of its proper divisors (6068320312320).

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

1423220198400 is a wasteful number, since it uses less digits than its factorization.

1423220198400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 1423220198400 in words is "one trillion, four hundred twenty-three billion, two hundred twenty million, one hundred ninety-eight thousand, four hundred".