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1144140100032 = 26367313736449
BaseRepresentation
bin10000101001100100000…
…100000111000111000000
311001101020002110011210110
4100221210010013013000
5122221144331200112
62233335525031320
7145442600246556
oct20514404070700
94041202404713
101144140100032
11401255293506
121658aa255540
1383b797c2c67
143d53b857bd6
151eb65b8413c
hex10a641071c0

1144140100032 has 112 divisors (see below), whose sum is σ = 3034380621600. Its totient is φ = 380476981248.

The previous prime is 1144140100031. The next prime is 1144140100039. The reversal of 1144140100032 is 2300010414411.

It is a junction number, because it is equal to n+sod(n) for n = 1144140099981 and 1144140100008.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1144140100031) by changing a digit.

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, 177410344 + ... + 177416792.

Almost surely, 21144140100032 is an apocalyptic number.

1144140100032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1144140100032 is an abundant number, since it is smaller than the sum of its proper divisors (1890240521568).

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

1144140100032 is a wasteful number, since it uses less digits than its factorization.

1144140100032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8510 (or 8500 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

Adding to 1144140100032 its reverse (2300010414411), we get a palindrome (3444150514443).

The spelling of 1144140100032 in words is "one trillion, one hundred forty-four billion, one hundred forty million, one hundred thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 673 1346 1373 2019 2692 2746 4038 4119 5384 5492 6449 8076 8238 10768 10984 12898 16152 16476 19347 21536 21968 25796 32304 32952 38694 43072 43936 51592 64608 65904 77388 87872 103184 129216 131808 154776 206368 263616 309552 412736 619104 924029 1238208 1848058 2772087 3696116 4340177 5544174 7392232 8680354 8854477 11088348 13020531 14784464 17360708 17708954 22176696 26041062 26563431 29568928 34721416 35417908 44353392 52082124 53126862 59137856 69442832 70835816 88706784 104164248 106253724 138885664 141671632 177413568 208328496 212507448 277771328 283343264 416656992 425014896 566686528 833313984 850029792 1700059584 5959063021 11918126042 17877189063 23836252084 35754378126 47672504168 71508756252 95345008336 143017512504 190690016672 286035025008 381380033344 572070050016 1144140100032