Search a number
-
+
1349370597120 = 2835713107151239
BaseRepresentation
bin10011101000101100110…
…000010100111100000000
311202222221221211122102020
4103220230300110330000
5134102002333101440
62511520422521440
7166326442554330
oct23505460247400
94688857748366
101349370597120
114802a0584577
12199625596280
139a325645310
144944a47b0c0
15251783e03d0
hex13a2cc14f00

1349370597120 has 1152 divisors, whose sum is σ = 5411638149120. Its totient is φ = 279001497600.

The previous prime is 1349370597073. The next prime is 1349370597131. The reversal of 1349370597120 is 217950739431.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 5645901961 + ... + 5645902199.

It is an arithmetic number, because the mean of its divisors is an integer number (4697602560).

Almost surely, 21349370597120 is an apocalyptic number.

1349370597120 is a gapful number since it is divisible by the number (10) 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 1349370597120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2705819074560).

1349370597120 is an abundant number, since it is smaller than the sum of its proper divisors (4062267552000).

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

1349370597120 is a wasteful number, since it uses less digits than its factorization.

1349370597120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 541 (or 527 counting only the distinct ones).

The product of its (nonzero) digits is 1428840, while the sum is 51.

The spelling of 1349370597120 in words is "one trillion, three hundred forty-nine billion, three hundred seventy million, five hundred ninety-seven thousand, one hundred twenty".