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351143200011042 = 232233782892242127
BaseRepresentation
bin100111111010111001110010…
…1101100111011001100100010
31201001021221222100121120010200
41033311303211230323030202
5332011112233200323132
63242452543101210030
7133651154561033625
oct11765634554731442
91631257870546120
10351143200011042
11a1980aa413826a
1233471aa3260916
13120c187a92916a
14629d5c8aa3dbc
152a8e091857d7c
hex13f5ce5b3b322

351143200011042 has 48 divisors (see below), whose sum is σ = 793891426648320. Its totient is φ = 111958355558016.

The previous prime is 351143200011031. The next prime is 351143200011053. The reversal of 351143200011042 is 240110002341153.

351143200011042 is a `hidden beast` number, since 3 + 511 + 4 + 32 + 0 + 0 + 0 + 110 + 4 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (351143200011031) and next prime (351143200011053).

It is a junction number, because it is equal to n+sod(n) for n = 351143200010997 and 351143200011015.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 155490583 + ... + 157732709.

It is an arithmetic number, because the mean of its divisors is an integer number (16539404721840).

Almost surely, 2351143200011042 is an apocalyptic number.

351143200011042 is an abundant number, since it is smaller than the sum of its proper divisors (442748226637278).

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

351143200011042 is a wasteful number, since it uses less digits than its factorization.

351143200011042 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2620447 (or 2620444 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

Adding to 351143200011042 its reverse (240110002341153), we get a palindrome (591253202352195).

The spelling of 351143200011042 in words is "three hundred fifty-one trillion, one hundred forty-three billion, two hundred million, eleven thousand, forty-two".

Divisors: 1 2 3 6 9 18 23 46 69 138 207 414 378289 756578 1134867 2242127 2269734 3404601 4484254 6726381 6809202 8700647 13452762 17401294 20179143 26101941 40358286 51568921 52203882 78305823 103137842 154706763 156611646 309413526 464120289 928240578 848171980703 1696343961406 2544515942109 5089031884218 7633547826327 15267095652654 19507955556169 39015911112338 58523866668507 117047733337014 175571600005521 351143200011042