Search a number
33145405000 = 2354192953227
BaseRepresentation
bin11110110111100111…
…101011111001001000
310011112221221000212121
4132313213223321020
51020340210430000
623120553021024
72252242202551
oct366747537110
9104487830777
1033145405000
11130697983a4
1265103b4774
133182c29ba6
1418660a1328
15cded40b1a
hex7b79ebe48

33145405000 has 320 divisors, whose sum is σ = 86541048000. Its totient is φ = 11846016000.

The previous prime is 33145404997. The next prime is 33145405021. The reversal of 33145405000 is 50454133.

Adding to 33145405000 its reverse (50454133), we get a palindrome (33195859133).

It is a super-2 number, since 2×331454050002 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 146014887 + ... + 146015113.

It is an arithmetic number, because the mean of its divisors is an integer number (270440775).

Almost surely, 233145405000 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 33145405000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43270524000).

33145405000 is an abundant number, since it is smaller than the sum of its proper divisors (53395643000).

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

33145405000 is a wasteful number, since it uses less digits than its factorization.

33145405000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 354 (or 335 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 25.

The spelling of 33145405000 in words is "thirty-three billion, one hundred forty-five million, four hundred five thousand".