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32303322244040 = 235172364314272251
BaseRepresentation
bin1110101100001001101000…
…00011000010001111001000
311020101011112001212010020212
413112010310003002033020
513213224200443302130
6152411535200340252
76542560303415411
oct726046403021710
9136334461763225
1032303322244040
11a324842296271
123758725314688
131504261ba21a3
147d96bc2a8808
153b043be5de95
hex1d61340c23c8

32303322244040 has 256 divisors, whose sum is σ = 80520917944320. Its totient is φ = 11601114624000.

The previous prime is 32303322244013. The next prime is 32303322244051. The reversal of 32303322244040 is 4044222330323.

It is a happy number.

It is a super-2 number, since 2×323033222440402 (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 32303322243988 and 32303322244006.

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, 14350652915 + ... + 14350655165.

It is an arithmetic number, because the mean of its divisors is an integer number (314534835720).

Almost surely, 232303322244040 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 32303322244040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40260458972160).

32303322244040 is an abundant number, since it is smaller than the sum of its proper divisors (48217595700280).

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

32303322244040 is a wasteful number, since it uses less digits than its factorization.

32303322244040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4372 (or 4368 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 32.

Adding to 32303322244040 its reverse (4044222330323), we get a palindrome (36347544574363).

The spelling of 32303322244040 in words is "thirty-two trillion, three hundred three billion, three hundred twenty-two million, two hundred forty-four thousand, forty".