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10142412214432 = 251934573593501
BaseRepresentation
bin1001001110010111011011…
…1000001001000010100000
31022220121100010221022200211
42103211312320021002200
52312133130011330212
633323205421023504
72064523300241611
oct223456670110240
938817303838624
1010142412214432
113260411312603
1211798013b4b94
1358756b6c1924
14270c76c79c08
15128c627ee9a7
hex93976e090a0

10142412214432 has 48 divisors (see below), whose sum is σ = 20115259901352. Its totient is φ = 5033889792000.

The previous prime is 10142412214411. The next prime is 10142412214447. The reversal of 10142412214432 is 23441221424101.

It can be written as a sum of positive squares in 4 ways, for example, as 7217368218256 + 2925043996176 = 2686516^2 + 1710276^2 .

It is a junction number, because it is equal to n+sod(n) for n = 10142412214394 and 10142412214403.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1025682 + ... + 4619182.

Almost surely, 210142412214432 is an apocalyptic number.

It is an amenable number.

10142412214432 is a deficient number, since it is larger than the sum of its proper divisors (9972847686920).

10142412214432 is a wasteful number, since it uses less digits than its factorization.

10142412214432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3594161 (or 3594153 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 31.

Adding to 10142412214432 its reverse (23441221424101), we get a palindrome (33583633638533).

The spelling of 10142412214432 in words is "ten trillion, one hundred forty-two billion, four hundred twelve million, two hundred fourteen thousand, four hundred thirty-two".

Divisors: 1 2 4 8 16 32 193 386 457 772 914 1544 1828 3088 3656 6176 7312 14624 88201 176402 352804 705608 1411216 2822432 3593501 7187002 14374004 28748008 57496016 114992032 693545693 1387091386 1642229957 2774182772 3284459914 5548365544 6568919828 11096731088 13137839656 22193462176 26275679312 52551358624 316950381701 633900763402 1267801526804 2535603053608 5071206107216 10142412214432