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43819991040 = 221357199
BaseRepresentation
bin101000110011111000…
…000000000000000000
311012002220001012002010
4220303320000000000
51204220404203130
632044114252520
73110620530630
oct506370000000
9135086035063
1043819991040
1117647273931
1285ab287140
1341945c8ca7
142199a646c0
1512170510b0
hexa33e00000

43819991040 has 352 divisors, whose sum is σ = 161061235200. Its totient is φ = 9965666304.

The previous prime is 43819991021. The next prime is 43819991041. The reversal of 43819991040 is 4019991834.

It is a super-2 number, since 2×438199910402 (a number of 22 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (43819991041) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 220200861 + ... + 220201059.

Almost surely, 243819991040 is an apocalyptic number.

43819991040 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 43819991040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80530617600).

43819991040 is an abundant number, since it is smaller than the sum of its proper divisors (117241244160).

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

43819991040 is an frugal number, since it uses more digits than its factorization.

43819991040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 256 (or 216 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 48.

The spelling of 43819991040 in words is "forty-three billion, eight hundred nineteen million, nine hundred ninety-one thousand, forty".