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31434413439 = 311132912132083
BaseRepresentation
bin11101010001101000…
…110001010101111111
310000010201101122200210
4131101220301111333
51003334202212224
622235112323503
72161655051142
oct352150612577
9100121348623
1031434413439
11123709a8090
1261133a3593
132c6c602650
141742b58059
15c3ea1a429
hex751a3157f

31434413439 has 64 divisors (see below), whose sum is σ = 51004316160. Its totient is φ = 16957140480.

The previous prime is 31434413377. The next prime is 31434413477. The reversal of 31434413439 is 93431443413.

It is not a de Polignac number, because 31434413439 - 28 = 31434413183 is a prime.

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

It is a junction number, because it is equal to n+sod(n) for n = 31434413397 and 31434413406.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31434413239) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 15089892 + ... + 15091974.

It is an arithmetic number, because the mean of its divisors is an integer number (796942440).

Almost surely, 231434413439 is an apocalyptic number.

31434413439 is a gapful number since it is divisible by the number (39) formed by its first and last digit.

31434413439 is a deficient number, since it is larger than the sum of its proper divisors (19569902721).

31434413439 is a wasteful number, since it uses less digits than its factorization.

31434413439 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3352.

The product of its digits is 186624, while the sum is 39.

The spelling of 31434413439 in words is "thirty-one billion, four hundred thirty-four million, four hundred thirteen thousand, four hundred thirty-nine".

Divisors: 1 3 11 13 29 33 39 87 143 319 377 429 957 1131 1213 2083 3639 4147 6249 12441 13343 15769 22913 27079 35177 40029 47307 60407 68739 81237 105531 173459 181221 297869 386947 457301 520377 664477 785291 893607 1160841 1371903 1993431 2355873 2526679 5030311 7580037 8638201 15090933 25914603 27793469 32846827 73273691 83380407 98540481 219821073 361315097 806010601 952557983 1083945291 2418031803 2857673949 10478137813 31434413439