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14452370634 = 23132191037283
BaseRepresentation
bin11010111010110110…
…11010110011001010
31101022012200111102110
431131123122303022
5214044301330014
610350032243150
71021100060232
oct153533326312
941265614373
1014452370634
116146a93a69
1229740a04b6
131494258900
149b15d0cc2
15598bddd59
hex35d6dacca

14452370634 has 96 divisors (see below), whose sum is σ = 33270981120. Its totient is φ = 4171362624.

The previous prime is 14452370627. The next prime is 14452370641. The reversal of 14452370634 is 43607325441.

It is an interprime number because it is at equal distance from previous prime (14452370627) and next prime (14452370641).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 14452370592 and 14452370601.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1980757 + ... + 1988039.

It is an arithmetic number, because the mean of its divisors is an integer number (346572720).

Almost surely, 214452370634 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14452370634, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16635490560).

14452370634 is an abundant number, since it is smaller than the sum of its proper divisors (18818610486).

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

14452370634 is a wasteful number, since it uses less digits than its factorization.

14452370634 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7436 (or 7423 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 39.

The spelling of 14452370634 in words is "fourteen billion, four hundred fifty-two million, three hundred seventy thousand, six hundred thirty-four".

Divisors: 1 2 3 6 13 19 26 38 39 57 78 103 114 169 206 247 309 338 494 507 618 741 1014 1339 1482 1957 2678 3211 3914 4017 5871 6422 7283 8034 9633 11742 14566 17407 19266 21849 25441 34814 43698 50882 52221 76323 94679 104442 138377 152646 189358 276754 284037 330733 415131 568074 661466 750149 830262 992199 1230827 1500298 1798901 1984398 2250447 2461654 3597802 3692481 4500894 5396703 7384962 9751937 10793406 14252831 19503874 23385713 28505662 29255811 42758493 46771426 58511622 70157139 85516986 126775181 140314278 185286803 253550362 370573606 380325543 555860409 760651086 1111720818 2408728439 4817456878 7226185317 14452370634