Search a number
-
+
4300093197408 = 25341832292251
BaseRepresentation
bin111110100100110001100…
…001110000110001100000
3120020002021212222122111010
4332210301201300301200
51030423042324304113
613051234024420520
7622446214046151
oct76446141606140
916202255878433
104300093197408
111408728563518
12595478617740
13252660028728
1410c1a89c1928
1576cc69281c3
hex3e931870c60

4300093197408 has 288 divisors, whose sum is σ = 11800522081152. Its totient is φ = 1370042880000.

The previous prime is 4300093197317. The next prime is 4300093197427. The reversal of 4300093197408 is 8047913900034.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17131845283 + ... + 17131845533.

It is an arithmetic number, because the mean of its divisors is an integer number (40974035004).

Almost surely, 24300093197408 is an apocalyptic number.

4300093197408 is a gapful number since it is divisible by the number (48) 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 4300093197408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5900261040576).

4300093197408 is an abundant number, since it is smaller than the sum of its proper divisors (7500428883744).

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

4300093197408 is a wasteful number, since it uses less digits than its factorization.

4300093197408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 846 (or 609 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 48.

The spelling of 4300093197408 in words is "four trillion, three hundred billion, ninety-three million, one hundred ninety-seven thousand, four hundred eight".