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114596461441 = 71143229359421
BaseRepresentation
bin110101010111001111…
…0110011101110000001
3101221210102110102002201
41222232132303232001
53334143143231231
6124351143513201
711164543564450
oct1525636635601
9357712412081
10114596461441
1144666795680
121a262158801
13aa63878687
14579183cb97
152eaa8dc161
hex1aae7b3b81

114596461441 has 64 divisors (see below), whose sum is σ = 147593318400. Its totient is φ = 86390841600.

The previous prime is 114596461417. The next prime is 114596461453. The reversal of 114596461441 is 144164695411.

It is not a de Polignac number, because 114596461441 - 27 = 114596461313 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 114596461391 and 114596461400.

It is not an unprimeable number, because it can be changed into a prime (114596461141) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 272200411 + ... + 272200831.

It is an arithmetic number, because the mean of its divisors is an integer number (2306145600).

Almost surely, 2114596461441 is an apocalyptic number.

114596461441 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

114596461441 is a deficient number, since it is larger than the sum of its proper divisors (32996856959).

114596461441 is a wasteful number, since it uses less digits than its factorization.

114596461441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1070.

The product of its digits is 414720, while the sum is 46.

The spelling of 114596461441 in words is "one hundred fourteen billion, five hundred ninety-six million, four hundred sixty-one thousand, four hundred forty-one".

Divisors: 1 7 11 43 77 229 301 359 421 473 1603 2513 2519 2947 3311 3949 4631 9847 15437 17633 18103 27643 32417 68929 82211 96409 108059 108317 126721 151139 169807 199133 575477 674863 758219 904321 1057973 1060499 1188649 1393931 1662529 3535073 4145587 6330247 6498977 7423493 11637703 24745511 29019109 34610831 38885803 45492839 45601457 71488747 242275817 272200621 319210199 380719141 500421229 1488265733 2665033987 10417860131 16370923063 114596461441