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423313031040 = 2735457482441
BaseRepresentation
bin1100010100011110110…
…11000011111110000000
31111110122102011001102220
412022033123003332000
523413421113443130
6522244535211040
742404043252354
oct6121733037600
91443572131386
10423313031040
111535871966a9
126a05a816a80
1330bc250b673
14166ba497464
15b02843d410
hex628f6c3f80

423313031040 has 128 divisors (see below), whose sum is σ = 1352265628320. Its totient is φ = 112636231680.

The previous prime is 423313031017. The next prime is 423313031041. The reversal of 423313031040 is 40130313324.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 423313031040.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (423313031041) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 636220 + ... + 1118660.

Almost surely, 2423313031040 is an apocalyptic number.

423313031040 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 423313031040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (676132814160).

423313031040 is an abundant number, since it is smaller than the sum of its proper divisors (928952597280).

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

423313031040 is a wasteful number, since it uses less digits than its factorization.

423313031040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 482920 (or 482908 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 423313031040 its reverse (40130313324), we get a palindrome (463443344364).

The spelling of 423313031040 in words is "four hundred twenty-three billion, three hundred thirteen million, thirty-one thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 320 384 457 480 640 914 960 1371 1828 1920 2285 2742 3656 4570 5484 6855 7312 9140 10968 13710 14624 18280 21936 27420 29248 36560 43872 54840 58496 73120 87744 109680 146240 175488 219360 292480 438720 482441 877440 964882 1447323 1929764 2412205 2894646 3859528 4824410 5789292 7236615 7719056 9648820 11578584 14473230 15438112 19297640 23157168 28946460 30876224 38595280 46314336 57892920 61752448 77190560 92628672 115785840 154381120 185257344 220475537 231571680 308762240 440951074 463143360 661426611 881902148 926286720 1102377685 1322853222 1763804296 2204755370 2645706444 3307133055 3527608592 4409510740 5291412888 6614266110 7055217184 8819021480 10582825776 13228532220 14110434368 17638042960 21165651552 26457064440 28220868736 35276085920 42331303104 52914128880 70552171840 84662606208 105828257760 141104343680 211656515520 423313031040