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431434112414214 = 237136497771216067
BaseRepresentation
bin110001000011000110001010…
…1000000111011001000000110
32002120120200212002110212020110
41202012030111000323020012
5423022104030234223324
64125330032312213450
7156606041332612350
oct14206142500731006
92076520762425213
10431434112414214
111155171a7aa26a8
124047a9a339a286
13156970a6949840
1478777458a20d0
1534d28d0c1e329
hex188631503b206

431434112414214 has 64 divisors (see below), whose sum is σ = 1061994169022976. Its totient is φ = 113784552175104.

The previous prime is 431434112414213. The next prime is 431434112414269. The reversal of 431434112414214 is 412414211434134.

It is a super-2 number, since 2×4314341124142142 (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (431434112414213) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 354170209 + ... + 355386275.

It is an arithmetic number, because the mean of its divisors is an integer number (16593658890984).

Almost surely, 2431434112414214 is an apocalyptic number.

431434112414214 is an abundant number, since it is smaller than the sum of its proper divisors (630560056608762).

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

431434112414214 is a wasteful number, since it uses less digits than its factorization.

431434112414214 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1865869.

The product of its digits is 147456, while the sum is 39.

Adding to 431434112414214 its reverse (412414211434134), we get a palindrome (843848323848348).

The spelling of 431434112414214 in words is "four hundred thirty-one trillion, four hundred thirty-four billion, one hundred twelve million, four hundred fourteen thousand, two hundred fourteen".

Divisors: 1 2 3 6 7 13 14 21 26 39 42 78 91 182 273 546 649777 1216067 1299554 1949331 2432134 3648201 3898662 4548439 7296402 8447101 8512469 9096878 13645317 15808871 16894202 17024938 25341303 25537407 27290634 31617742 47426613 50682606 51074814 59129707 94853226 110662097 118259414 177389121 221324194 331986291 354778242 663972582 790172367059 1580344734118 2370517101177 4741034202354 5531206569413 10272240771767 11062413138826 16593619708239 20544481543534 30816722315301 33187239416478 61633444630602 71905685402369 143811370804738 215717056207107 431434112414214