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351330240040 = 23513271731999
BaseRepresentation
bin1010001110011001110…
…10100000011000101000
31020120211210211101122121
411013030322200120220
521224011020140130
6425222054201024
734245201524053
oct5071472403050
91216753741577
10351330240040
11125aa884138a
125810b953174
1327190363900
141300c3c5a9a
159213c18d7a
hex51ccea0628

351330240040 has 96 divisors (see below), whose sum is σ = 868034880000. Its totient is φ = 127894690560.

The previous prime is 351330240031. The next prime is 351330240047. The reversal of 351330240040 is 40042033153.

It is a junction number, because it is equal to n+sod(n) for n = 351330239987 and 351330240014.

It is not an unprimeable number, because it can be changed into a prime (351330240047) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 113961 + ... + 845959.

It is an arithmetic number, because the mean of its divisors is an integer number (9042030000).

Almost surely, 2351330240040 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 351330240040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (434017440000).

351330240040 is an abundant number, since it is smaller than the sum of its proper divisors (516704639960).

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

351330240040 is a wasteful number, since it uses less digits than its factorization.

351330240040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 732107 (or 732090 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 25.

Adding to 351330240040 its reverse (40042033153), we get a palindrome (391372273193).

The spelling of 351330240040 in words is "three hundred fifty-one billion, three hundred thirty million, two hundred forty thousand, forty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 71 104 130 142 169 260 284 338 355 520 568 676 710 845 923 1352 1420 1690 1846 2840 3380 3692 4615 6760 7384 9230 11999 18460 23998 36920 47996 59995 95992 119990 239980 479960 731999 1463998 2927996 3659995 5855992 7319990 9515987 14639980 19031974 29279960 38063948 47579935 51971929 76127896 95159870 103943858 123707831 190319740 207887716 247415662 259859645 380639480 415775432 494831324 519719290 618539155 675635077 989662648 1039438580 1237078310 1351270154 2078877160 2474156620 2702540308 3378175385 4948313240 5405080616 6756350770 8783256001 13512701540 17566512002 27025403080 35133024004 43916280005 70266048008 87832560010 175665120020 351330240040