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32214301434 = 23273131726017
BaseRepresentation
bin11110000000000111…
…110011101011111010
310002011001220001220100
4132000013303223322
51011433330121214
622444332140230
72220205021110
oct360007635372
9102131801810
1032214301434
1112731151517
1262b0607676
133065063133
1417b8569ab0
15c8821d309
hex7801f3afa

32214301434 has 96 divisors (see below), whose sum is σ = 82604860416. Its totient is φ = 8878740480.

The previous prime is 32214301421. The next prime is 32214301439. The reversal of 32214301434 is 43410341223.

32214301434 is a `hidden beast` number, since 3 + 221 + 4 + 3 + 0 + 1 + 434 = 666.

It is a super-2 number, since 2×322143014342 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 32214301398 and 32214301407.

It is not an unprimeable number, because it can be changed into a prime (32214301439) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 1225194 + ... + 1251210.

It is an arithmetic number, because the mean of its divisors is an integer number (860467296).

Almost surely, 232214301434 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 32214301434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41302430208).

32214301434 is an abundant number, since it is smaller than the sum of its proper divisors (50390558982).

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

32214301434 is a wasteful number, since it uses less digits than its factorization.

32214301434 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26380 (or 26377 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 32214301434 its reverse (43410341223), we get a palindrome (75624642657).

The spelling of 32214301434 in words is "thirty-two billion, two hundred fourteen million, three hundred one thousand, four hundred thirty-four".

Divisors: 1 2 3 6 7 9 14 18 21 31 42 62 63 93 126 186 217 279 317 434 558 634 651 951 1302 1902 1953 2219 2853 3906 4438 5706 6657 9827 13314 19654 19971 26017 29481 39942 52034 58962 68789 78051 88443 137578 156102 176886 182119 206367 234153 364238 412734 468306 546357 619101 806527 1092714 1238202 1613054 1639071 2419581 3278142 4839162 5645689 7258743 8247389 11291378 14517486 16494778 16937067 24742167 33874134 49484334 50811201 57731723 74226501 101622402 115463446 148453002 173195169 255669059 346390338 511338118 519585507 767007177 1039171014 1534014354 1789683413 2301021531 3579366826 4602043062 5369050239 10738100478 16107150717 32214301434