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431314014340 = 2251111343939521
BaseRepresentation
bin1100100011011000101…
…00011001000010000100
31112020022000102010011201
412101230110121002010
524031312341424330
6530050512112244
743106235426316
oct6215424310204
91466260363151
10431314014340
11156a125758a0
126b712235684
1331899007201
1416c38d397b6
15b345a7eeca
hex646c519084

431314014340 has 96 divisors (see below), whose sum is σ = 999141454080. Its totient is φ = 155095449600.

The previous prime is 431314014337. The next prime is 431314014347. The reversal of 431314014340 is 43410413134.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 431314014299 and 431314014308.

It is not an unprimeable number, because it can be changed into a prime (431314014347) 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, 10893780 + ... + 10933300.

It is an arithmetic number, because the mean of its divisors is an integer number (10407723480).

Almost surely, 2431314014340 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 431314014340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (499570727040).

431314014340 is an abundant number, since it is smaller than the sum of its proper divisors (567827439740).

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

431314014340 is a wasteful number, since it uses less digits than its factorization.

431314014340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40093 (or 40091 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

Adding to 431314014340 its reverse (43410413134), we get a palindrome (474724427474).

The spelling of 431314014340 in words is "four hundred thirty-one billion, three hundred fourteen million, fourteen thousand, three hundred forty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 113 220 226 439 452 565 878 1130 1243 1756 2195 2260 2486 4390 4829 4972 6215 8780 9658 12430 19316 24145 24860 39521 48290 49607 79042 96580 99214 158084 197605 198428 248035 395210 434731 496070 545677 790420 869462 992140 1091354 1738924 2173655 2182708 2728385 4347310 4465873 5456770 8694620 8931746 10913540 17349719 17863492 22329365 34699438 44658730 49124603 69398876 86748595 89317460 98249206 173497190 190846909 196498412 245623015 346994380 381693818 491246030 763387636 954234545 982492060 1908469090 1960518247 3816938180 3921036494 7842072988 9802591235 19605182470 21565700717 39210364940 43131401434 86262802868 107828503585 215657007170 431314014340