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2145714736242 = 237411234183173
BaseRepresentation
bin11111001110010110100…
…100001000110001110010
321121010110112211102002010
4133032112210020301302
5240123410433024432
64321421105303350
7311010545220000
oct37162644106162
97533415742063
102145714736242
11757aa1036940
122a7a2b634b56
131274560838ac
1475bd3071a70
153ac357893cc
hex1f396908c72

2145714736242 has 640 divisors, whose sum is σ = 5942438111232. Its totient is φ = 510858163200.

The previous prime is 2145714736211. The next prime is 2145714736247. The reversal of 2145714736242 is 2426374175412.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 2145714736191 and 2145714736200.

It is not an unprimeable number, because it can be changed into a prime (2145714736247) by changing a digit.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 12402975268 + ... + 12402975440.

Almost surely, 22145714736242 is an apocalyptic number.

2145714736242 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 2145714736242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2971219055616).

2145714736242 is an abundant number, since it is smaller than the sum of its proper divisors (3796723374990).

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

2145714736242 is a wasteful number, since it uses less digits than its factorization.

2145714736242 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 364 (or 343 counting only the distinct ones).

The product of its digits is 2257920, while the sum is 48.

The spelling of 2145714736242 in words is "two trillion, one hundred forty-five billion, seven hundred fourteen million, seven hundred thirty-six thousand, two hundred forty-two".