Search a number
-
+
14074746741468 = 2232755852169609
BaseRepresentation
bin1100110011010000100001…
…0001111010001011011100
31211211112101022002211210200
43030310020101322023130
53321100040131211333
645533503245103500
72651603226231450
oct314641021721334
954745338084720
1014074746741468
114537080675896
1216b3944257b90
137b132091655a
1436931565c660
151961b30dac13
hexccd0847a2dc

14074746741468 has 36 divisors (see below), whose sum is σ = 40660379476080. Its totient is φ = 4021356211776.

The previous prime is 14074746741443. The next prime is 14074746741557. The reversal of 14074746741468 is 86414764747041.

It is a happy number.

14074746741468 is a `hidden beast` number, since 1 + 4 + 0 + 7 + 4 + 74 + 67 + 41 + 468 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 27926084553 + ... + 27926085056.

Almost surely, 214074746741468 is an apocalyptic number.

14074746741468 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

14074746741468 is an abundant number, since it is smaller than the sum of its proper divisors (26585632734612).

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

14074746741468 is a wasteful number, since it uses less digits than its factorization.

14074746741468 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55852169626 (or 55852169621 counting only the distinct ones).

The product of its (nonzero) digits is 101154816, while the sum is 63.

The spelling of 14074746741468 in words is "fourteen trillion, seventy-four billion, seven hundred forty-six million, seven hundred forty-one thousand, four hundred sixty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 55852169609 111704339218 167556508827 223408678436 335113017654 390965187263 502669526481 670226035308 781930374526 1005339052962 1172895561789 1563860749052 2010678105924 2345791123578 3518686685367 4691582247156 7037373370734 14074746741468