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4400422425234 = 2331143942118287
BaseRepresentation
bin100000000001000110110…
…0111011001001010010010
3120120200021000010111102000
41000002031213121022102
51034044031120101414
613205305352134430
7632630366315433
oct100021547311222
916520230114360
104400422425234
111447232816330
125b09b8697416
1325bc5baca624
14112da566348a
15796e99e6b09
hex4008d9d9292

4400422425234 has 128 divisors (see below), whose sum is σ = 10917532200960. Its totient is φ = 1302241147200.

The previous prime is 4400422425211. The next prime is 4400422425241. The reversal of 4400422425234 is 4325242240044.

It is a happy number.

4400422425234 is a `hidden beast` number, since 4 + 400 + 4 + 2 + 242 + 5 + 2 + 3 + 4 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 240622039 + ... + 240640325.

It is an arithmetic number, because the mean of its divisors is an integer number (85293220320).

Almost surely, 24400422425234 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4400422425234, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5458766100480).

4400422425234 is an abundant number, since it is smaller than the sum of its proper divisors (6517109775726).

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

4400422425234 is a wasteful number, since it uses less digits than its factorization.

4400422425234 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27773 (or 27767 counting only the distinct ones).

The product of its (nonzero) digits is 245760, while the sum is 36.

Adding to 4400422425234 its reverse (4325242240044), we get a palindrome (8725664665278).

The spelling of 4400422425234 in words is "four trillion, four hundred billion, four hundred twenty-two million, four hundred twenty-five thousand, two hundred thirty-four".

Divisors: 1 2 3 6 9 11 18 22 27 33 43 54 66 86 99 129 198 258 297 387 473 594 774 946 1161 1419 2322 2838 4257 8514 9421 12771 18287 18842 25542 28263 36574 54861 56526 84789 103631 109722 164583 169578 201157 207262 254367 310893 329166 402314 405103 493749 508734 603471 621786 786341 810206 932679 987498 1206942 1215309 1572682 1810413 1865358 2359023 2430618 2798037 3620826 3645927 4456133 4718046 5431239 5596074 7077069 7291854 8649751 8912266 10862478 10937781 13368399 14154138 17299502 21231207 21875562 25949253 26736798 40105197 42462414 51898506 77847759 80210394 120315591 155695518 172281827 233543277 240631182 344563654 467086554 516845481 1033690962 1550536443 1895100097 3101072886 3790200194 4651609329 5685300291 7408118561 9303218658 11370600582 14816237122 17055900873 22224355683 34111801746 44448711366 51167702619 66673067049 81489304171 102335405238 133346134098 162978608342 200019201147 244467912513 400038402294 488935825026 733403737539 1466807475078 2200211212617 4400422425234