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115342105444 = 2217411011572609
BaseRepresentation
bin110101101101011101…
…1001101101101100100
3102000201101112001101021
41223122323031231210
53342210034333234
6124553141340524
711222166501616
oct1533273155544
9360641461337
10115342105444
1144a0967aa95
121a42ba07744
13ab521a9547
145822898db6
1530010c89b4
hex1adaecdb64

115342105444 has 96 divisors (see below), whose sum is σ = 222596125920. Its totient is φ = 52076544000.

The previous prime is 115342105433. The next prime is 115342105471. The reversal of 115342105444 is 444501243511.

It is a happy number.

It can be written as a sum of positive squares in 16 ways, for example, as 13581105444 + 101761000000 = 116538^2 + 319000^2 .

It is a Harshad number since it is a multiple of its sum of digits (34).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 44208012 + ... + 44210620.

It is an arithmetic number, because the mean of its divisors is an integer number (2318709645).

Almost surely, 2115342105444 is an apocalyptic number.

It is an amenable number.

115342105444 is a deficient number, since it is larger than the sum of its proper divisors (107254020476).

115342105444 is a wasteful number, since it uses less digits than its factorization.

115342105444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2929 (or 2927 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 34.

Adding to 115342105444 its reverse (444501243511), we get a palindrome (559843348955).

The spelling of 115342105444 in words is "one hundred fifteen billion, three hundred forty-two million, one hundred five thousand, four hundred forty-four".

Divisors: 1 2 4 17 34 41 68 82 101 157 164 202 314 404 628 697 1394 1717 2609 2669 2788 3434 4141 5218 5338 6437 6868 8282 10436 10676 12874 15857 16564 25748 31714 44353 63428 70397 88706 106969 109429 140794 177412 213938 218858 263509 269569 281588 409613 427876 437716 527018 539138 650137 819226 1054036 1078276 1300274 1638452 1818473 2600548 3636946 4479653 6963421 7273892 8959306 10803869 11052329 13926842 16794133 17918612 21607738 22104658 27853684 33588266 41370913 43215476 44209316 67176532 82741826 165483652 183665773 285500261 367331546 571000522 703305521 734663092 1142001044 1406611042 1696207433 2813222084 3392414866 6784829732 28835526361 57671052722 115342105444