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43198449120 = 25335234091063
BaseRepresentation
bin101000001110110101…
…000000010111100000
311010111120111120212000
4220032311000113200
51201432300332440
631502312404000
73056332521231
oct501665002740
9133446446760
1043198449120
1117358442222
1284570a6600
1340c58ca1c8
14213b2b1088
1511cc6ca730
hexa0ed405e0

43198449120 has 384 divisors, whose sum is σ = 158302771200. Its totient is φ = 10981453824.

The previous prime is 43198449103. The next prime is 43198449127. The reversal of 43198449120 is 2194489134.

43198449120 is a `hidden beast` number, since 4 + 3 + 198 + 449 + 12 + 0 = 666.

It is a super-2 number, since 2×431984491202 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (43198449127) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 40637709 + ... + 40638771.

It is an arithmetic number, because the mean of its divisors is an integer number (412246800).

Almost surely, 243198449120 is an apocalyptic number.

43198449120 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 43198449120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79151385600).

43198449120 is an abundant number, since it is smaller than the sum of its proper divisors (115104322080).

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

43198449120 is a wasteful number, since it uses less digits than its factorization.

43198449120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1519 (or 1505 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 43198449120 in words is "forty-three billion, one hundred ninety-eight million, four hundred forty-nine thousand, one hundred twenty".