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351331113040 = 245103167255313
BaseRepresentation
bin1010001110011001111…
…01110101100001010000
31020120211212110202011221
411013030331311201100
521224011231104130
6425222125014424
734245212121205
oct5071475654120
91216755422157
10351331113040
11125aa9288276
12581100b4414
13271905ab08b
141300c571cac
159213d3c87a
hex51ccf75850

351331113040 has 80 divisors (see below), whose sum is σ = 829717394688. Its totient is φ = 138334169088.

The previous prime is 351331113031. The next prime is 351331113053. The reversal of 351331113040 is 40311133153.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 351331112996 and 351331113014.

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 15 ways as a sum of consecutive naturals, for example, 1248424 + ... + 1503736.

Almost surely, 2351331113040 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 351331113040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (414858697344).

351331113040 is an abundant number, since it is smaller than the sum of its proper divisors (478386281648).

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

351331113040 is a wasteful number, since it uses less digits than its factorization.

351331113040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 255596 (or 255590 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 25.

Adding to 351331113040 its reverse (40311133153), we get a palindrome (391642246193).

The spelling of 351331113040 in words is "three hundred fifty-one billion, three hundred thirty-one million, one hundred thirteen thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 103 167 206 334 412 515 668 824 835 1030 1336 1648 1670 2060 2672 3340 4120 6680 8240 13360 17201 34402 68804 86005 137608 172010 255313 275216 344020 510626 688040 1021252 1276565 1376080 2042504 2553130 4085008 5106260 10212520 20425040 26297239 42637271 52594478 85274542 105188956 131486195 170549084 210377912 213186355 262972390 341098168 420755824 426372710 525944780 682196336 852745420 1051889560 1705490840 2103779120 3410981680 4391638913 8783277826 17566555652 21958194565 35133111304 43916389130 70266222608 87832778260 175665556520 351331113040