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1144020001014 = 2321141532658941
BaseRepresentation
bin10000101001011100111…
…001111110000011110110
311001100220201110111220200
4100221130321332003312
5122220423110013024
62233315554541330
7145436611363632
oct20513471760366
94040821414820
101144020001014
114011a3514320
12165875b97846
1383b5a962c57
143d529913dc2
151eb5a35e2c9
hex10a5ce7e0f6

1144020001014 has 96 divisors (see below), whose sum is σ = 2822264853408. Its totient is φ = 331835712000.

The previous prime is 1144020000997. The next prime is 1144020001021. The reversal of 1144020001014 is 4101000204411.

1144020001014 is a `hidden beast` number, since 1 + 1 + 440 + 200 + 0 + 10 + 14 = 666.

It is a super-2 number, since 2×11440200010142 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 899217 + ... + 1759724.

It is an arithmetic number, because the mean of its divisors is an integer number (29398592223).

Almost surely, 21144020001014 is an apocalyptic number.

1144020001014 is an abundant number, since it is smaller than the sum of its proper divisors (1678244852394).

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

1144020001014 is a wasteful number, since it uses less digits than its factorization.

1144020001014 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2659054 (or 2659051 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 1144020001014 its reverse (4101000204411), we get a palindrome (5245020205425).

The spelling of 1144020001014 in words is "one trillion, one hundred forty-four billion, twenty million, one thousand, fourteen".

Divisors: 1 2 3 6 9 11 18 22 33 41 53 66 82 99 106 123 159 198 246 318 369 451 477 583 738 902 954 1166 1353 1749 2173 2706 3498 4059 4346 5247 6519 8118 10494 13038 19557 23903 39114 47806 71709 143418 215127 430254 2658941 5317882 7976823 15953646 23930469 29248351 47860938 58496702 87745053 109016581 140923873 175490106 218033162 263235159 281847746 327049743 422771619 526470318 654099486 845543238 981149229 1199182391 1268314857 1550162603 1962298458 2398364782 2536629714 3100325206 3597547173 4650487809 5777878793 7195094346 9300975618 10792641519 11555757586 13951463427 17333636379 21585283038 27902926854 34667272758 52000909137 63556666723 104001818274 127113333446 190670000169 381340000338 572010000507 1144020001014