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115024404035144 = 23175371283794201
BaseRepresentation
bin11010001001110100110100…
…101111100011011001001000
3120002021020002111011100020202
4122021310310233203121020
5110034024434413111034
61044345252015311332
733141144650251352
oct3211646457433110
9502236074140222
10115024404035144
113371763744153a
1210a9860021b548
134c249a7286bb6
1420592d48580d2
15d470ae63447e
hex689d34be3648

115024404035144 has 128 divisors (see below), whose sum is σ = 236776903591680. Its totient is φ = 52174746624000.

The previous prime is 115024404035117. The next prime is 115024404035153. The reversal of 115024404035144 is 441530404420511.

It is a super-2 number, since 2×1150244040351442 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 115024404035098 and 115024404035107.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 144433244 + ... + 145227444.

It is an arithmetic number, because the mean of its divisors is an integer number (1849819559310).

Almost surely, 2115024404035144 is an apocalyptic number.

It is an amenable number.

115024404035144 is an abundant number, since it is smaller than the sum of its proper divisors (121752499556536).

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

115024404035144 is a wasteful number, since it uses less digits than its factorization.

115024404035144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 794631 (or 794627 counting only the distinct ones).

The product of its (nonzero) digits is 153600, while the sum is 38.

Adding to 115024404035144 its reverse (441530404420511), we get a palindrome (556554808455655).

The spelling of 115024404035144 in words is "one hundred fifteen trillion, twenty-four billion, four hundred four million, thirty-five thousand, one hundred forty-four".

Divisors: 1 2 4 8 17 34 53 68 71 106 136 142 212 283 284 424 566 568 901 1132 1207 1802 2264 2414 3604 3763 4811 4828 7208 7526 9622 9656 14999 15052 19244 20093 29998 30104 38488 40186 59996 63971 80372 119992 127942 160744 254983 255884 341581 509966 511768 683162 794201 1019932 1064929 1366324 1588402 2039864 2129858 2732648 3176804 4259716 6353608 8519432 13501417 18103793 27002834 36207586 42092653 54005668 56388271 72415172 84185306 108011336 112776542 144830344 168370612 224758883 225553084 336741224 449517766 451106168 715575101 899035532 958600607 1431150202 1798071064 1917201214 2862300404 2988578363 3820901011 3834402428 5724600808 5977156726 7641802022 7668804856 11912220799 11954313452 15283604044 15957880693 23824441598 23908626904 30567208088 31915761386 47648883196 50805832171 63831522772 95297766392 101611664342 127663045544 202507753583 203223328684 271283971781 405015507166 406446657368 542567943562 810031014332 845767676729 1085135887124 1620062028664 1691535353458 2170271774248 3383070706916 6766141413832 14378050504393 28756101008786 57512202017572 115024404035144