Search a number
-
+
4340644753676 = 22711416113741131
BaseRepresentation
bin111111001010100010100…
…101101011000100001100
3120100221221222220010221112
4333022202211223010030
51032104120024104201
613122021545151152
7625413136432550
oct77124245530414
916327858803845
104340644753676
111423947891990
125a12b518b4b8
1325642344493a
14110134525860
1577d9ba5e0bb
hex3f2a296b10c

4340644753676 has 192 divisors, whose sum is σ = 9932742263808. Its totient is φ = 1610979840000.

The previous prime is 4340644753673. The next prime is 4340644753681. The reversal of 4340644753676 is 6763574460434.

It is a happy number.

It is a super-2 number, since 2×43406447536762 (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (4340644753673) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 105511631 + ... + 105552761.

It is an arithmetic number, because the mean of its divisors is an integer number (51733032624).

Almost surely, 24340644753676 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4340644753676, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4966371131904).

4340644753676 is an abundant number, since it is smaller than the sum of its proper divisors (5592097510132).

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

4340644753676 is a wasteful number, since it uses less digits than its factorization.

4340644753676 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41392 (or 41390 counting only the distinct ones).

The product of its (nonzero) digits is 121927680, while the sum is 59.

The spelling of 4340644753676 in words is "four trillion, three hundred forty billion, six hundred forty-four million, seven hundred fifty-three thousand, six hundred seventy-six".