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231402314430 = 233571009121343
BaseRepresentation
bin1101011110000010100…
…1110001101010111110
3211010021211021112122000
43113200221301222332
512242402443030210
6254145454403130
722501236135060
oct3274051615276
9733254245560
10231402314430
118a156634881
1238a202004a6
1318a8a093311
14b2b2881730
15604524dac0
hex35e0a71abe

231402314430 has 128 divisors (see below), whose sum is σ = 705930854400. Its totient is φ = 52839101952.

The previous prime is 231402314419. The next prime is 231402314483. The reversal of 231402314430 is 34413204132.

231402314430 is a `hidden beast` number, since 2 + 314 + 0 + 2 + 314 + 4 + 30 = 666.

It is a super-2 number, since 2×2314023144302 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 231402314394 and 231402314403.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1846339 + ... + 1967681.

It is an arithmetic number, because the mean of its divisors is an integer number (5515084800).

Almost surely, 2231402314430 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 231402314430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (352965427200).

231402314430 is an abundant number, since it is smaller than the sum of its proper divisors (474528539970).

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

231402314430 is a wasteful number, since it uses less digits than its factorization.

231402314430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122375 (or 122369 counting only the distinct ones).

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

Adding to 231402314430 its reverse (34413204132), we get a palindrome (265815518562).

The spelling of 231402314430 in words is "two hundred thirty-one billion, four hundred two million, three hundred fourteen thousand, four hundred thirty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 27 30 35 42 45 54 63 70 90 105 126 135 189 210 270 315 378 630 945 1009 1890 2018 3027 5045 6054 7063 9081 10090 14126 15135 18162 21189 27243 30270 35315 42378 45405 54486 63567 70630 90810 105945 121343 127134 136215 190701 211890 242686 272430 317835 364029 381402 606715 635670 728058 849401 953505 1092087 1213430 1698802 1820145 1907010 2184174 2548203 3276261 3640290 4247005 5096406 5460435 6552522 7644609 8494010 10920870 12741015 15289218 16381305 22933827 25482030 32762610 38223045 45867654 76446090 114669135 122435087 229338270 244870174 367305261 612175435 734610522 857045609 1101915783 1224350870 1714091218 1836526305 2203831566 2571136827 3305747349 3673052610 4285228045 5142273654 5509578915 6611494698 7713410481 8570456090 11019157830 12855684135 15426820962 16528736745 23140231443 25711368270 33057473490 38567052405 46280462886 77134104810 115701157215 231402314430