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31443411132 = 22327256931327
BaseRepresentation
bin11101010010001011…
…000110000010111100
310000011100022210012200
4131102023012002330
51003344003124012
622240033231500
72162124404400
oct352213060274
9100140283180
1031443411132
1112375a931a1
126116402590
132c71432c23
14174401b100
15c406e63dc
hex7522c60bc

31443411132 has 108 divisors (see below), whose sum is σ = 92624051520. Its totient is φ = 8967756672.

The previous prime is 31443411127. The next prime is 31443411137. The reversal of 31443411132 is 23111434413.

31443411132 is a `hidden beast` number, since 314 + 4 + 341 + 1 + 1 + 3 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (31443411127) and next prime (31443411137).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 31443411096 and 31443411105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31443411137) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 988053 + ... + 1019379.

Almost surely, 231443411132 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 31443411132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46312025760).

31443411132 is an abundant number, since it is smaller than the sum of its proper divisors (61180640388).

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

31443411132 is a wasteful number, since it uses less digits than its factorization.

31443411132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31920 (or 31908 counting only the distinct ones).

The product of its digits is 3456, while the sum is 27.

Adding to 31443411132 its reverse (23111434413), we get a palindrome (54554845545).

The spelling of 31443411132 in words is "thirty-one billion, four hundred forty-three million, four hundred eleven thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 49 63 84 98 126 147 196 252 294 441 569 588 882 1138 1707 1764 2276 3414 3983 5121 6828 7966 10242 11949 15932 20484 23898 27881 31327 35847 47796 55762 62654 71694 83643 93981 111524 125308 143388 167286 187962 219289 250929 281943 334572 375924 438578 501858 563886 657867 877156 1003716 1127772 1315734 1535023 1973601 2631468 3070046 3947202 4605069 6140092 7894404 9210138 13815207 17825063 18420276 27630414 35650126 53475189 55260828 71300252 106950378 124775441 160425567 213900756 249550882 320851134 374326323 499101764 641702268 748652646 873428087 1122978969 1497305292 1746856174 2245957938 2620284261 3493712348 4491915876 5240568522 7860852783 10481137044 15721705566 31443411132