Search a number
-
+
1456999984440 = 23325721113836959
BaseRepresentation
bin10101001100111011111…
…101110110110100111000
312011021202211112000112200
4111030323331312310320
5142332413444000230
63033200410110200
7210156550345500
oct25147375666470
95137684460480
101456999984440
11511a01564250
121b646241b360
13a7518975710
145073a890a00
1527d77319160
hex1533bf76d38

1456999984440 has 1152 divisors, whose sum is σ = 6550259788800. Its totient is φ = 276057815040.

The previous prime is 1456999984421. The next prime is 1456999984457. The reversal of 1456999984440 is 444899996541.

1456999984440 is a `hidden beast` number, since 1 + 4 + 5 + 6 + 9 + 99 + 98 + 4 + 440 = 666.

It is a super-2 number, since 2×14569999844402 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 209365681 + ... + 209372639.

It is an arithmetic number, because the mean of its divisors is an integer number (5685989400).

Almost surely, 21456999984440 is an apocalyptic number.

1456999984440 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 1456999984440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3275129894400).

1456999984440 is an abundant number, since it is smaller than the sum of its proper divisors (5093259804360).

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

1456999984440 is a wasteful number, since it uses less digits than its factorization.

1456999984440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7097 (or 7083 counting only the distinct ones).

The product of its (nonzero) digits is 403107840, while the sum is 72.

The spelling of 1456999984440 in words is "one trillion, four hundred fifty-six billion, nine hundred ninety-nine million, nine hundred eighty-four thousand, four hundred forty".