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35002020144 = 24371331733541
BaseRepresentation
bin100000100110010010…
…000111000100110000
310100100100110212001110
4200212102013010300
51033141004121034
624025114433320
72346245155650
oct404622070460
9110310425043
1035002020144
1113931800883
12694a132840
1333ba780330
1419a08b4360
15d9cd2dde9
hex826487130

35002020144 has 320 divisors, whose sum is σ = 116484988928. Its totient is φ = 8808652800.

The previous prime is 35002020143. The next prime is 35002020181. The reversal of 35002020144 is 44102020053.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 35002020144.

It is not an unprimeable number, because it can be changed into a prime (35002020143) 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, 9883014 + ... + 9886554.

Almost surely, 235002020144 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 35002020144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58242494464).

35002020144 is an abundant number, since it is smaller than the sum of its proper divisors (81482968784).

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

35002020144 is a wasteful number, since it uses less digits than its factorization.

35002020144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3676 (or 3670 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

Adding to 35002020144 its reverse (44102020053), we get a palindrome (79104040197).

Subtracting 35002020144 from its reverse (44102020053), we obtain a palindrome (9099999909).

The spelling of 35002020144 in words is "thirty-five billion, two million, twenty thousand, one hundred forty-four".