Search a number
-
+
43802922240 = 283257111923113
BaseRepresentation
bin101000110010110110…
…111000110100000000
311012001200221000002100
4220302312320310000
51204202022002430
632042304350400
73110322460440
oct506266706400
9135050830070
1043802922240
1117638675890
1285a5615400
134190c00acc
1421976a0120
1512157cd960
hexa32db8d00

43802922240 has 1728 divisors, whose sum is σ = 209378856960. Its totient is φ = 8174960640.

The previous prime is 43802922239. The next prime is 43802922323. The reversal of 43802922240 is 4222920834.

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

It is a junction number, because it is equal to n+sod(n) for n = 43802922195 and 43802922204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 387636424 + ... + 387636536.

It is an arithmetic number, because the mean of its divisors is an integer number (121168320).

Almost surely, 243802922240 is an apocalyptic number.

43802922240 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 43802922240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104689428480).

43802922240 is an abundant number, since it is smaller than the sum of its proper divisors (165575934720).

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

43802922240 is a wasteful number, since it uses less digits than its factorization.

43802922240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200 (or 183 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The spelling of 43802922240 in words is "forty-three billion, eight hundred two million, nine hundred twenty-two thousand, two hundred forty".