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422044040016 = 24328343381551
BaseRepresentation
bin1100010010000111100…
…10001111101101010000
31111100100222022122000100
412021003302033231100
523403321233240031
6521515004252400
742330434102154
oct6110362175520
91440328278010
10422044040016
11152a95948995
1269965841100
1330a4c63c9c1
14165d9b29064
15aea1d25de6
hex6243c8fb50

422044040016 has 120 divisors (see below), whose sum is σ = 1198143063936. Its totient is φ = 138663705600.

The previous prime is 422044039981. The next prime is 422044040023. The reversal of 422044040016 is 610040440224.

It is a happy number.

422044040016 is a `hidden beast` number, since 4 + 2 + 204 + 40 + 400 + 16 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5134441 + ... + 5215991.

Almost surely, 2422044040016 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 422044040016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (599071531968).

422044040016 is an abundant number, since it is smaller than the sum of its proper divisors (776099023920).

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

422044040016 is a wasteful number, since it uses less digits than its factorization.

422044040016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82081 (or 82072 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

The spelling of 422044040016 in words is "four hundred twenty-two billion, forty-four million, forty thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 83 144 166 249 332 433 498 664 747 866 996 1299 1328 1494 1732 1992 2598 2988 3464 3897 3984 5196 5976 6928 7794 10392 11952 15588 20784 31176 35939 62352 71878 81551 107817 143756 163102 215634 244653 287512 323451 326204 431268 489306 575024 646902 652408 733959 862536 978612 1293804 1304816 1467918 1725072 1957224 2587608 2935836 3914448 5175216 5871672 6768733 11743344 13537466 20306199 27074932 35311583 40612398 54149864 60918597 70623166 81224796 105934749 108299728 121837194 141246332 162449592 211869498 243674388 282492664 317804247 324899184 423738996 487348776 564985328 635608494 847477992 974697552 1271216988 1694955984 2542433976 2930861389 5084867952 5861722778 8792584167 11723445556 17585168334 23446891112 26377752501 35170336668 46893782224 52755505002 70340673336 105511010004 140681346672 211022020008 422044040016