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120424322143232 = 210236317809423
BaseRepresentation
bin11011011000011001111000…
…111100011001010000000000
3120210101110020001202022001222
4123120121320330121100000
5111241013002432040412
61104042100405014212
734236240651661562
oct3330317074312000
9523343201668058
10120424322143232
1135409739437828
121160b0599b4368
135226c70a15c33
1421a47d5567332
15ddc7a6475072
hex6d8678f19400

120424322143232 has 88 divisors (see below), whose sum is σ = 251237685194496. Its totient is φ = 57585052540928.

The previous prime is 120424322143207. The next prime is 120424322143253. The reversal of 120424322143232 is 232341223424021.

It is a junction number, because it is equal to n+sod(n) for n = 120424322143192 and 120424322143201.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 148373273 + ... + 149182695.

It is an arithmetic number, because the mean of its divisors is an integer number (2854973695392).

Almost surely, 2120424322143232 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 120424322143232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125618842597248).

120424322143232 is an abundant number, since it is smaller than the sum of its proper divisors (130813363051264).

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

120424322143232 is an equidigital number, since it uses as much as digits as its factorization.

120424322143232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 815783 (or 815765 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 35.

Adding to 120424322143232 its reverse (232341223424021), we get a palindrome (352765545567253).

The spelling of 120424322143232 in words is "one hundred twenty trillion, four hundred twenty-four billion, three hundred twenty-two million, one hundred forty-three thousand, two hundred thirty-two".

Divisors: 1 2 4 8 16 23 32 46 64 92 128 184 256 368 512 736 1024 1472 2944 5888 6317 11776 12634 23552 25268 50536 101072 145291 202144 290582 404288 581164 808576 809423 1162328 1617152 1618846 2324656 3234304 3237692 4649312 6468608 6475384 9298624 12950768 18597248 18616729 25901536 37194496 37233458 51803072 74388992 74466916 103606144 148777984 148933832 207212288 297867664 414424576 595735328 828849152 1191470656 2382941312 4765882624 5113125091 9531765248 10226250182 19063530496 20452500364 40905000728 81810001456 117601877093 163620002912 235203754186 327240005824 470407508372 654480011648 940815016744 1308960023296 1881630033488 2617920046592 3763260066976 5235840093184 7526520133952 15053040267904 30106080535808 60212161071616 120424322143232