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1135354254144 = 263113714529001
BaseRepresentation
bin10000100001011000011…
…000110001001101000000
311000112112210022221222220
4100201120120301031000
5122100201142113034
62225324033531040
7145012064633535
oct20413030611500
94015483287886
101135354254144
113a8556972450
12164057a13a80
13830a9514596
143cd46a6ad8c
151e7ee6aa749
hex10858631340

1135354254144 has 112 divisors (see below), whose sum is σ = 3365614255296. Its totient is φ = 334748160000.

The previous prime is 1135354254113. The next prime is 1135354254187. The reversal of 1135354254144 is 4414524535311.

It is a junction number, because it is equal to n+sod(n) for n = 1135354254096 and 1135354254105.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7186357 + ... + 7342644.

Almost surely, 21135354254144 is an apocalyptic number.

It is an amenable number.

1135354254144 is an abundant number, since it is smaller than the sum of its proper divisors (2230260001152).

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

1135354254144 is a wasteful number, since it uses less digits than its factorization.

1135354254144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14529064 (or 14529054 counting only the distinct ones).

The product of its digits is 576000, while the sum is 42.

Adding to 1135354254144 its reverse (4414524535311), we get a palindrome (5549878789455).

The spelling of 1135354254144 in words is "one trillion, one hundred thirty-five billion, three hundred fifty-four million, two hundred fifty-four thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 37 44 48 64 66 74 88 96 111 132 148 176 192 222 264 296 352 407 444 528 592 704 814 888 1056 1184 1221 1628 1776 2112 2368 2442 3256 3552 4884 6512 7104 9768 13024 19536 26048 39072 78144 14529001 29058002 43587003 58116004 87174006 116232008 159819011 174348012 232464016 319638022 348696024 464928032 479457033 537573037 639276044 697392048 929856064 958914066 1075146074 1278552088 1394784096 1612719111 1917828132 2150292148 2557104176 2789568192 3225438222 3835656264 4300584296 5114208352 5913303407 6450876444 7671312528 8601168592 10228416704 11826606814 12901752888 15342625056 17202337184 17739910221 23653213628 25803505776 30685250112 34404674368 35479820442 47306427256 51607011552 70959640884 94612854512 103214023104 141919281768 189225709024 283838563536 378451418048 567677127072 1135354254144