Search a number
-
+
1023440151360 = 263511751712893
BaseRepresentation
bin11101110010010011100…
…10010110001101000000
310121211200022012111020010
432321021302112031000
5113232001134320420
62102054550144520
7133640541515514
oct16711162261500
93554608174203
101023440151360
11365047314610
12146424052140
13756825b69a3
143776b58c144
151b94e51b4e0
hexee49c96340

1023440151360 has 224 divisors, whose sum is σ = 3545571076992. Its totient is φ = 248054456320.

The previous prime is 1023440151341. The next prime is 1023440151457. The reversal of 1023440151360 is 631510443201.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 79373074 + ... + 79385966.

It is an arithmetic number, because the mean of its divisors is an integer number (15828442308).

Almost surely, 21023440151360 is an apocalyptic number.

1023440151360 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 1023440151360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1772785538496).

1023440151360 is an abundant number, since it is smaller than the sum of its proper divisors (2522130925632).

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

1023440151360 is a wasteful number, since it uses less digits than its factorization.

1023440151360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20441 (or 20431 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

Adding to 1023440151360 its reverse (631510443201), we get a palindrome (1654950594561).

The spelling of 1023440151360 in words is "one trillion, twenty-three billion, four hundred forty million, one hundred fifty-one thousand, three hundred sixty".