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155355403398144 = 210317321689713
BaseRepresentation
bin100011010100101101111111…
…101000100010110000000000
3202101001211110011210011222220
4203110231333220202300000
5130330320331232220034
61310225142000531040
744503025502435255
oct4324557750426000
9671054404704886
10155355403398144
1145556947125074
1215510b02320a80
13688bc4aabb5b1
142a5135510342c
1512e623d241749
hex8d4b7fa22c00

155355403398144 has 132 divisors (see below), whose sum is σ = 416486390917896. Its totient is φ = 51485767958528.

The previous prime is 155355403398127. The next prime is 155355403398203. The reversal of 155355403398144 is 441893304553551.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 91097032 + ... + 92786744.

Almost surely, 2155355403398144 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 155355403398144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208243195458948).

155355403398144 is an abundant number, since it is smaller than the sum of its proper divisors (261130987519752).

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

155355403398144 is an equidigital number, since it uses as much as digits as its factorization.

155355403398144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1690082 (or 1689891 counting only the distinct ones).

The product of its (nonzero) digits is 77760000, while the sum is 60.

The spelling of 155355403398144 in words is "one hundred fifty-five trillion, three hundred fifty-five billion, four hundred three million, three hundred ninety-eight thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 173 192 256 346 384 512 519 692 768 1024 1038 1384 1536 2076 2768 3072 4152 5536 8304 11072 16608 22144 29929 33216 44288 59858 66432 88576 89787 119716 132864 177152 179574 239432 265728 359148 478864 531456 718296 957728 1436592 1689713 1915456 2873184 3379426 3830912 5069139 5746368 6758852 7661824 10138278 11492736 13517704 15323648 20276556 22985472 27035408 30647296 40553112 45970944 54070816 81106224 91941888 108141632 162212448 216283264 292320349 324424896 432566528 584640698 648849792 865133056 876961047 1169281396 1297699584 1730266112 1753922094 2338562792 2595399168 3507844188 4677125584 5190798336 7015688376 9354251168 14031376752 18708502336 28062753504 37417004672 50571420377 56125507008 74834009344 101142840754 112251014016 149668018688 151714261131 202285681508 224502028032 299336037376 303428522262 404571363016 449004056064 606857044524 809142726032 898008112128 1213714089048 1618285452064 2427428178096 3236570904128 4854856356192 6473141808256 9709712712384 12946283616512 19419425424768 25892567233024 38838850849536 51785134466048 77677701699072 155355403398144