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202432403040 = 25357257359653
BaseRepresentation
bin1011110010000111101…
…0010101011001100000
3201100111212021120011220
42330201322111121200
511304040143344130
6232555100535040
720424315015030
oct2744172253140
9640455246156
10202432403040
117893a8a564a
1233296251480
131612124180a
149b251778c0
1553ebc9b410
hex2f21e95660

202432403040 has 384 divisors, whose sum is σ = 734753617920. Its totient is φ = 45891452928.

The previous prime is 202432403009. The next prime is 202432403051. The reversal of 202432403040 is 40304234202.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 202432403040.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 310003354 + ... + 310004006.

It is an arithmetic number, because the mean of its divisors is an integer number (1913420880).

Almost surely, 2202432403040 is an apocalyptic number.

202432403040 is a gapful number since it is divisible by the number (20) 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 202432403040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (367376808960).

202432403040 is an abundant number, since it is smaller than the sum of its proper divisors (532321214880).

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

202432403040 is a wasteful number, since it uses less digits than its factorization.

202432403040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1294 (or 1286 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 24.

Adding to 202432403040 its reverse (40304234202), we get a palindrome (242736637242).

The spelling of 202432403040 in words is "two hundred two billion, four hundred thirty-two million, four hundred three thousand, forty".