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451435350234344 = 23717378979589997
BaseRepresentation
bin110011010100100111111101…
…1101100001001010011101000
32012012101210112202010010220012
41212221033323230021103220
5433132304044124444334
64240042311545151052
7164042061550141310
oct14651177354112350
92165353482103805
10451435350234344
11120928725348283
124276b24148b488
13164b822b507308
147d69832296440
15372cd095b19ce
hex19a93fbb094e8

451435350234344 has 64 divisors (see below), whose sum is σ = 972967117795200. Its totient is φ = 192351194475264.

The previous prime is 451435350234293. The next prime is 451435350234371. The reversal of 451435350234344 is 443432053534154.

It is a super-2 number, since 2×4514353502343442 (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 451435350234292 and 451435350234301.

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, 764853554 + ... + 765443550.

It is an arithmetic number, because the mean of its divisors is an integer number (15202611215550).

Almost surely, 2451435350234344 is an apocalyptic number.

It is an amenable number.

451435350234344 is an abundant number, since it is smaller than the sum of its proper divisors (521531767560856).

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

451435350234344 is a wasteful number, since it uses less digits than its factorization.

451435350234344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 669162 (or 669158 counting only the distinct ones).

The product of its (nonzero) digits is 20736000, while the sum is 50.

The spelling of 451435350234344 in words is "four hundred fifty-one trillion, four hundred thirty-five billion, three hundred fifty million, two hundred thirty-four thousand, three hundred forty-four".

Divisors: 1 2 4 7 8 14 28 56 173 346 692 1211 1384 2422 4844 9688 78979 157958 315916 552853 589997 631832 1105706 1179994 2211412 2359988 4129979 4422824 4719976 8259958 13663367 16519916 27326734 33039832 54653468 95643569 102069481 109306936 191287138 204138962 382574276 408277924 714486367 765148552 816555848 1428972734 2857945468 5715890936 46597373063 93194746126 186389492252 326181611441 372778984504 652363222882 1304726445764 2609452891528 8061345539899 16122691079798 32245382159596 56429418779293 64490764319192 112858837558586 225717675117172 451435350234344