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1150503409440 = 253257113292957
BaseRepresentation
bin10000101111011111010…
…110001101011100100000
311001222122120010210021200
4100233133112031130200
5122322212333100230
62240311200521200
7146056355424210
oct20573726153440
94058576123250
101150503409440
11403a201aa000
12166b85320200
1384651c24bb8
143d9829da240
151edd9634160
hex10bdf58d720

1150503409440 has 1152 divisors, whose sum is σ = 5107232632320. Its totient is φ = 230743941120.

The previous prime is 1150503409403. The next prime is 1150503409453. The reversal of 1150503409440 is 449043050511.

It is a happy number.

1150503409440 is a `hidden beast` number, since 11 + 50 + 503 + 4 + 0 + 94 + 4 + 0 = 666.

It is a super-2 number, since 2×11505034094402 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1150503409395 and 1150503409404.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 389076442 + ... + 389079398.

It is an arithmetic number, because the mean of its divisors is an integer number (4433361660).

Almost surely, 21150503409440 is an apocalyptic number.

1150503409440 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 1150503409440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2553616316160).

1150503409440 is an abundant number, since it is smaller than the sum of its proper divisors (3956729222880).

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

1150503409440 is a wasteful number, since it uses less digits than its factorization.

1150503409440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3047 (or 3014 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

Adding to 1150503409440 its reverse (449043050511), we get a palindrome (1599546459951).

The spelling of 1150503409440 in words is "one trillion, one hundred fifty billion, five hundred three million, four hundred nine thousand, four hundred forty".