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431340202140 = 223553715918947
BaseRepresentation
bin1100100011011011110…
…00010010100010011100
31112020100211200121002020
412101231320102202130
524031341042432030
6530053245300140
743110004136511
oct6215570224234
91466324617066
10431340202140
11156a26332101
126b71ab64650
13318a1575c53
1416c3c5d5308
15b348004510
hex646de1289c

431340202140 has 96 divisors (see below), whose sum is σ = 1230777192960. Its totient is φ = 112832069376.

The previous prime is 431340202121. The next prime is 431340202147. The reversal of 431340202140 is 41202043134.

It is a self number, because there is not a number n which added to its sum of digits gives 431340202140.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (431340202147) 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, 22756147 + ... + 22775093.

It is an arithmetic number, because the mean of its divisors is an integer number (12820595760).

Almost surely, 2431340202140 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 431340202140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (615388596480).

431340202140 is an abundant number, since it is smaller than the sum of its proper divisors (799436990820).

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

431340202140 is a wasteful number, since it uses less digits than its factorization.

431340202140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26171 (or 26169 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 431340202140 its reverse (41202043134), we get a palindrome (472542245274).

The spelling of 431340202140 in words is "four hundred thirty-one billion, three hundred forty million, two hundred two thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 53 60 106 159 212 265 318 530 636 795 1060 1590 3180 7159 14318 18947 21477 28636 35795 37894 42954 56841 71590 75788 85908 94735 107385 113682 143180 189470 214770 227364 284205 378940 379427 429540 568410 758854 1004191 1136820 1138281 1517708 1897135 2008382 2276562 3012573 3794270 4016764 4553124 5020955 5691405 6025146 7588540 10041910 11382810 12050292 15062865 20083820 22765620 30125730 60251460 135641573 271283146 406924719 542566292 678207865 813849438 1356415730 1627698876 2034623595 2712831460 4069247190 7189003369 8138494380 14378006738 21567010107 28756013476 35945016845 43134020214 71890033690 86268040428 107835050535 143780067380 215670101070 431340202140