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4199054340 = 223513192397127
BaseRepresentation
bin1111101001001000…
…0111110000000100
3101211122021001200010
43322102013300010
532044424214330
61532400150220
7206025241635
oct37222076004
911748231603
104199054340
111865290748
12992308370
1351bc37450
142bb96b88c
151989943b0
hexfa487c04

4199054340 has 384 divisors, whose sum is σ = 14161674240. Its totient is φ = 919683072.

The previous prime is 4199054329. The next prime is 4199054369. The reversal of 4199054340 is 434509914.

It is a Harshad number since it is a multiple of its sum of digits (39).

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, 33063357 + ... + 33063483.

It is an arithmetic number, because the mean of its divisors is an integer number (36879360).

Almost surely, 24199054340 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4199054340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7080837120).

4199054340 is an abundant number, since it is smaller than the sum of its proper divisors (9962619900).

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

4199054340 is a wasteful number, since it uses less digits than its factorization.

4199054340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 291 (or 289 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 39.

The square root of 4199054340 is about 64800.1106480537. The cubic root of 4199054340 is about 1613.3075452738.

The spelling of 4199054340 in words is "four billion, one hundred ninety-nine million, fifty-four thousand, three hundred forty".