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1152403400000 = 265541313449
BaseRepresentation
bin10000110001010000100…
…110000110010101000000
311002011112222022022100102
4100301100212012111000
5122340110232300000
62241223512141532
7146154426164246
oct20612046062500
94064488268312
101152403400000
11404805749036
121674156978a8
1384895754378
143dac30a0796
151ee9b33e3d5
hex10c50986540

1152403400000 has 336 divisors, whose sum is σ = 2943929545200. Its totient is φ = 447283200000.

The previous prime is 1152403399933. The next prime is 1152403400009. The reversal of 1152403400000 is 43042511.

It can be written as a sum of positive squares in 24 ways, for example, as 408034778176 + 744368621824 = 638776^2 + 862768^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1152403400009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2566599776 + ... + 2566600224.

It is an arithmetic number, because the mean of its divisors is an integer number (8761695075).

Almost surely, 21152403400000 is an apocalyptic number.

1152403400000 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 1152403400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1471964772600).

1152403400000 is an abundant number, since it is smaller than the sum of its proper divisors (1791526145200).

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

1152403400000 is an frugal number, since it uses more digits than its factorization.

1152403400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 840 (or 810 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

Adding to 1152403400000 its reverse (43042511), we get a palindrome (1152446442511).

The spelling of 1152403400000 in words is "one trillion, one hundred fifty-two billion, four hundred three million, four hundred thousand".