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1323144025140 = 2235771251176777
BaseRepresentation
bin10011010000010001100…
…001111001010000110100
311200111021011220202011110
4103100101201321100310
5133134244332301030
62451502144235020
7164410512434340
oct23202141712064
94614234822143
101323144025140
114701623428a3
1219452630ba70
1397a05c72a82
144807d248620
1524640bd41b0
hex13411879434

1323144025140 has 192 divisors, whose sum is σ = 4310826283008. Its totient is φ = 296983680000.

The previous prime is 1323144025129. The next prime is 1323144025153. The reversal of 1323144025140 is 415204413231.

It is a super-2 number, since 2×13231440251402 (a number of 25 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 1323144025098 and 1323144025107.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7396432 + ... + 7573208.

It is an arithmetic number, because the mean of its divisors is an integer number (22452220224).

Almost surely, 21323144025140 is an apocalyptic number.

1323144025140 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 1323144025140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2155413141504).

1323144025140 is an abundant number, since it is smaller than the sum of its proper divisors (2987682257868).

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

1323144025140 is a wasteful number, since it uses less digits than its factorization.

1323144025140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177118 (or 177116 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

Adding to 1323144025140 its reverse (415204413231), we get a palindrome (1738348438371).

The spelling of 1323144025140 in words is "one trillion, three hundred twenty-three billion, one hundred forty-four million, twenty-five thousand, one hundred forty".