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1353442224456 = 2332721757123427
BaseRepresentation
bin10011101100011111011…
…100010110100101001000
311210101110201022202002200
4103230133130112211020
5134133322202140311
62513432432000200
7166532363043060
oct23543734264510
94711421282080
101353442224456
11481a9a940443
1219a381090060
139a82405516a
14497151183a0
1525315ab3556
hex13b1f716948

1353442224456 has 96 divisors (see below), whose sum is σ = 4189452421440. Its totient is φ = 386676872064.

The previous prime is 1353442224443. The next prime is 1353442224479. The reversal of 1353442224456 is 6544222443531.

1353442224456 is a `hidden beast` number, since 1 + 3 + 534 + 4 + 2 + 22 + 44 + 56 = 666.

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, 10903815 + ... + 11027241.

It is an arithmetic number, because the mean of its divisors is an integer number (43640129390).

Almost surely, 21353442224456 is an apocalyptic number.

It is an amenable number.

1353442224456 is an abundant number, since it is smaller than the sum of its proper divisors (2836010196984).

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

1353442224456 is a wasteful number, since it uses less digits than its factorization.

1353442224456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145203 (or 145196 counting only the distinct ones).

The product of its digits is 2764800, while the sum is 45.

Adding to 1353442224456 its reverse (6544222443531), we get a palindrome (7897664667987).

The spelling of 1353442224456 in words is "one trillion, three hundred fifty-three billion, four hundred forty-two million, two hundred twenty-four thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 168 252 504 21757 43514 65271 87028 123427 130542 152299 174056 195813 246854 261084 304598 370281 391626 456897 493708 522168 609196 740562 783252 863989 913794 987416 1110843 1218392 1370691 1481124 1566504 1727978 1827588 2221686 2591967 2741382 2962248 3455956 3655176 4443372 5183934 5482764 6911912 7775901 8886744 10367868 10965528 15551802 20735736 31103604 62207208 2685401239 5370802478 8056203717 10741604956 16112407434 18797808673 21483209912 24168611151 32224814868 37595617346 48337222302 56393426019 64449629736 75191234692 96674444604 112786852038 150382469384 169180278057 193348889208 225573704076 338360556114 451147408152 676721112228 1353442224456