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120443140223432 = 231323617316325801
BaseRepresentation
bin11011011000101011011010…
…100101101011000111001000
3120210110020210112021211011022
4123120223122211223013020
5111241320022344122212
61104054451553452012
734240505203012265
oct3330533245530710
9523406715254138
10120443140223432
1135416715789a24
121161282bb71008
13522897c589a30
1421a569c8a826c
15ddd008577772
hex6d8ada96b1c8

120443140223432 has 128 divisors (see below), whose sum is σ = 254278041212160. Its totient is φ = 53067203481600.

The previous prime is 120443140223429. The next prime is 120443140223449. The reversal of 120443140223432 is 234322041344021.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 120443140223392 and 120443140223401.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4668144932 + ... + 4668170732.

It is an arithmetic number, because the mean of its divisors is an integer number (1986547196970).

Almost surely, 2120443140223432 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 120443140223432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127139020606080).

120443140223432 is an abundant number, since it is smaller than the sum of its proper divisors (133834900988728).

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

120443140223432 is a wasteful number, since it uses less digits than its factorization.

120443140223432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29623 (or 29619 counting only the distinct ones).

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

Adding to 120443140223432 its reverse (234322041344021), we get a palindrome (354765181567453).

The spelling of 120443140223432 in words is "one hundred twenty trillion, four hundred forty-three billion, one hundred forty million, two hundred twenty-three thousand, four hundred thirty-two".

Divisors: 1 2 4 8 13 23 26 46 52 92 104 184 299 598 617 1196 1234 2392 2468 3163 4936 6326 8021 12652 14191 16042 25304 25801 28382 32084 41119 51602 56764 64168 72749 82238 103204 113528 145498 164476 184483 206408 290996 328952 335413 368966 581992 593423 670826 737932 945737 1186846 1341652 1475864 1891474 1951571 2373692 2683304 3782948 3903142 4747384 7565896 7714499 7806284 15428998 15612568 15919217 25370423 30857996 31838434 44886133 50740846 61715992 63676868 81608563 89772266 101481692 127353736 163217126 179544532 202963384 206949821 326434252 359089064 366141991 413899642 583519729 652868504 732283982 827799284 1060911319 1167039458 1464567964 1655598568 1876996949 2121822638 2334078916 2929135928 3753993898 4243645276 4668157832 4759845883 7507987796 8487290552 9519691766 15015975592 19039383532 24400960337 38078767064 48801920674 50352483371 97603841348 100704966742 195207682696 201409933484 402819866968 654582283823 1158107117533 1309164567646 2316214235066 2618329135292 4632428470132 5236658270584 9264856940264 15055392527929 30110785055858 60221570111716 120443140223432