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23414020312432 = 24172113839711097
BaseRepresentation
bin1010101001011100000000…
…10111010000110101110000
310001220100200022222211002111
411110232000113100311300
511032103403144444212
6121444130305455104
74634415151615321
oct524560027206560
9101810608884074
1023414020312432
117507915078382
122761964041494
13100ac18023519
145ad35d39a448
152a90bbcb9ea7
hex154b805d0d70

23414020312432 has 160 divisors (see below), whose sum is σ = 48480812457984. Its totient is φ = 10916286259200.

The previous prime is 23414020312409. The next prime is 23414020312457. The reversal of 23414020312432 is 23421302041432.

It is a junction number, because it is equal to n+sod(n) for n = 23414020312394 and 23414020312403.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21343682508 + ... + 21343683604.

Almost surely, 223414020312432 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 23414020312432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24240406228992).

23414020312432 is an abundant number, since it is smaller than the sum of its proper divisors (25066792145552).

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

23414020312432 is a wasteful number, since it uses less digits than its factorization.

23414020312432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2687 (or 2681 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 31.

Adding to 23414020312432 its reverse (23421302041432), we get a palindrome (46835322353864).

The spelling of 23414020312432 in words is "twenty-three trillion, four hundred fourteen billion, twenty million, three hundred twelve thousand, four hundred thirty-two".

Divisors: 1 2 4 8 16 17 34 68 136 211 272 383 422 766 844 971 1097 1532 1688 1942 2194 3064 3376 3587 3884 4388 6128 6511 7174 7768 8776 13022 14348 15536 16507 17552 18649 26044 28696 33014 37298 52088 57392 66028 74596 80813 104176 132056 149192 161626 204881 231467 264112 298384 323252 371893 409762 420151 462934 646504 743786 819524 840302 925868 1065187 1293008 1373821 1487572 1639048 1680604 1851736 2130374 2747642 2975144 3278096 3361208 3482977 3703472 3934939 4260748 5495284 5950288 6322181 6722416 6965954 7142567 7869878 8521496 10990568 12644362 13931908 14285134 15739756 17042992 18108179 21981136 25288724 27863816 28570268 31479512 36216358 50577448 55727632 57140536 62959024 72432716 78469423 88651861 101154896 114281072 144865432 156938846 177303722 224754457 289730864 313877692 354607444 407966621 449508914 627755384 709214888 815933242 899017828 1255510768 1333980191 1418429776 1507081637 1631866484 1798035656 2667960382 3014163274 3263732968 3596071312 3820825769 5335920764 6028326548 6527465936 6935432557 7641651538 10671841528 12056653096 13870865114 15283303076 21343683056 24113306192 27741730228 30566606152 55483460456 61133212304 86080957031 110966920912 172161914062 344323828124 688647656248 1377295312496 1463376269527 2926752539054 5853505078108 11707010156216 23414020312432