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1344653801946 = 23271319283152671
BaseRepresentation
bin10011100100010011100…
…111001011100111011010
311202112210020100121211200
4103210103213023213122
5134012322333130241
62505420405335030
7166101526506030
oct23442347134732
94675706317750
101344653801946
114792a001a544
12198729a07476
1399a53383a60
144911dc5a550
1524e9e27b4b6
hex139139cb9da

1344653801946 has 192 divisors, whose sum is σ = 3787828961280. Its totient is φ = 334779661440.

The previous prime is 1344653801929. The next prime is 1344653801983. The reversal of 1344653801946 is 6491083564431.

It is a happy number.

1344653801946 is a `hidden beast` number, since 1 + 3 + 446 + 5 + 3 + 8 + 0 + 194 + 6 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 1344653801892 and 1344653801901.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8731191 + ... + 8883861.

It is an arithmetic number, because the mean of its divisors is an integer number (19728275840).

Almost surely, 21344653801946 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1344653801946, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1893914480640).

1344653801946 is an abundant number, since it is smaller than the sum of its proper divisors (2443175159334).

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

1344653801946 is a wasteful number, since it uses less digits than its factorization.

1344653801946 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153001 (or 152998 counting only the distinct ones).

The product of its (nonzero) digits is 7464960, while the sum is 54.

The spelling of 1344653801946 in words is "one trillion, three hundred forty-four billion, six hundred fifty-three million, eight hundred one thousand, nine hundred forty-six".