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431003021240 = 235112139640649
BaseRepresentation
bin1100100010110011100…
…10000010111110111000
31112012111100020000211202
412101121302002332320
524030143233134430
6530000002313332
743065441143021
oct6213162027670
91465440200752
10431003021240
11156872a73100
126b646058848
133184975a81c
1416c09903c48
15b3285edd45
hex6459c82fb8

431003021240 has 96 divisors (see below), whose sum is σ = 1073601270000. Its totient is φ = 155600586240.

The previous prime is 431003021231. The next prime is 431003021287. The reversal of 431003021240 is 42120300134.

It is a super-2 number, since 2×4310030212402 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 352436 + ... + 993084.

Almost surely, 2431003021240 is an apocalyptic number.

431003021240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 431003021240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (536800635000).

431003021240 is an abundant number, since it is smaller than the sum of its proper divisors (642598248760).

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

431003021240 is a wasteful number, since it uses less digits than its factorization.

431003021240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 640821 (or 640806 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 431003021240 its reverse (42120300134), we get a palindrome (473123321374).

The spelling of 431003021240 in words is "four hundred thirty-one billion, three million, twenty-one thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 121 139 220 242 278 440 484 556 605 695 968 1112 1210 1390 1529 2420 2780 3058 4840 5560 6116 7645 12232 15290 16819 30580 33638 61160 67276 84095 134552 168190 336380 640649 672760 1281298 2562596 3203245 5125192 6406490 7047139 12812980 14094278 25625960 28188556 35235695 56377112 70471390 77518529 89050211 140942780 155037058 178100422 281885560 310074116 356200844 387592645 445251055 620148232 712401688 775185290 890502110 979552321 1550370580 1781004220 1959104642 3100741160 3562008440 3918209284 4897761605 7836418568 9795523210 10775075531 19591046420 21550151062 39182092840 43100302124 53875377655 86200604248 107750755310 215501510620 431003021240