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1714229251968 = 27324167727361
BaseRepresentation
bin11000111100100000000…
…001101000111110000000
320001212201120202201101010
4120330200001220332000
5211041220142030333
63351301150040520
7234564125140122
oct30744001507600
96055646681333
101714229251968
116010007a5162
1223828baa9140
13c58606a12ac
145cd7d45d212
152e8ceb38563
hex18f20068f80

1714229251968 has 128 divisors (see below), whose sum is σ = 4579236462240. Its totient is φ = 568177459200.

The previous prime is 1714229251937. The next prime is 1714229251979. The reversal of 1714229251968 is 8691529224171.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-3 number, since 3×17142292519683 (a number of 38 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 62638608 + ... + 62665968.

Almost surely, 21714229251968 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 1714229251968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2289618231120).

1714229251968 is an abundant number, since it is smaller than the sum of its proper divisors (2865007210272).

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

1714229251968 is a wasteful number, since it uses less digits than its factorization.

1714229251968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28296 (or 28284 counting only the distinct ones).

The product of its digits is 4354560, while the sum is 57.

The spelling of 1714229251968 in words is "one trillion, seven hundred fourteen billion, two hundred twenty-nine million, two hundred fifty-one thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 241 384 482 677 723 964 1354 1446 1928 2031 2708 2892 3856 4062 5416 5784 7712 8124 10832 11568 15424 16248 21664 23136 27361 30848 32496 43328 46272 54722 64992 82083 86656 92544 109444 129984 163157 164166 218888 259968 326314 328332 437776 489471 652628 656664 875552 978942 1305256 1313328 1751104 1957884 2610512 2626656 3502208 3915768 5221024 5253312 6594001 7831536 10442048 10506624 13188002 15663072 18523397 19782003 20884096 26376004 31326144 37046794 39564006 52752008 55570191 62652288 74093588 79128012 105504016 111140382 148187176 158256024 211008032 222280764 296374352 316512048 422016064 444561528 592748704 633024096 844032128 889123056 1185497408 1266048192 1778246112 2370994816 2532096384 3556492224 4464138677 7112984448 8928277354 13392416031 17856554708 26784832062 35713109416 53569664124 71426218832 107139328248 142852437664 214278656496 285704875328 428557312992 571409750656 857114625984 1714229251968