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14454117954 = 2334317213617
BaseRepresentation
bin11010111011000100…
…00101011001000010
31101022022222021022000
431131202011121002
5214100223233304
610350133524430
71021120655403
oct153542053102
941268867260
1014454117954
116147a77831
1229747a3716
13149471b023
149b19279aa
15598e36939
hex35d885642

14454117954 has 64 divisors (see below), whose sum is σ = 32895434880. Its totient is φ = 4701957120.

The previous prime is 14454117949. The next prime is 14454117973. The reversal of 14454117954 is 45971145441.

14454117954 is a `hidden beast` number, since 1 + 4 + 4 + 541 + 17 + 95 + 4 = 666.

It is a super-2 number, since 2×144541179542 (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3994354 + ... + 3997970.

It is an arithmetic number, because the mean of its divisors is an integer number (513991170).

Almost surely, 214454117954 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14454117954, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16447717440).

14454117954 is an abundant number, since it is smaller than the sum of its proper divisors (18441316926).

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

14454117954 is a wasteful number, since it uses less digits than its factorization.

14454117954 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5392 (or 5386 counting only the distinct ones).

The product of its digits is 403200, while the sum is 45.

The spelling of 14454117954 in words is "fourteen billion, four hundred fifty-four million, one hundred seventeen thousand, nine hundred fifty-four".

Divisors: 1 2 3 6 9 18 27 43 54 86 129 258 387 774 1161 1721 2322 3442 3617 5163 7234 10326 10851 15489 21702 30978 32553 46467 65106 74003 92934 97659 148006 155531 195318 222009 311062 444018 466593 666027 933186 1332054 1399779 1998081 2799558 3996162 4199337 6224857 8398674 12449714 18674571 37349142 56023713 112047426 168071139 267668851 336142278 535337702 803006553 1606013106 2409019659 4818039318 7227058977 14454117954