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1144001004012 = 223353199860413
BaseRepresentation
bin10000101001011011110…
…001100000000111101100
311001100212101201100221000
4100221123301200013230
5122220403224112022
62233314035440300
7145436261043036
oct20513361400754
94040771640830
101144001004012
11401193819619
1216586b756090
1383b56a41219
143d5271aac56
151eb5885a6ac
hex10a5bc601ec

1144001004012 has 48 divisors (see below), whose sum is σ = 3021889459680. Its totient is φ = 374138691264.

The previous prime is 1144001003923. The next prime is 1144001004031. The reversal of 1144001004012 is 2104001004411.

1144001004012 is a `hidden beast` number, since 114 + 400 + 100 + 40 + 12 = 666.

It is a super-2 number, since 2×11440010040122 (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 an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 99924483 + ... + 99935930.

It is an arithmetic number, because the mean of its divisors is an integer number (62956030410).

Almost surely, 21144001004012 is an apocalyptic number.

1144001004012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1144001004012 is an abundant number, since it is smaller than the sum of its proper divisors (1877888455668).

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

1144001004012 is a wasteful number, since it uses less digits than its factorization.

1144001004012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 199860479 (or 199860471 counting only the distinct ones).

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

Adding to 1144001004012 its reverse (2104001004411), we get a palindrome (3248002008423).

The spelling of 1144001004012 in words is "one trillion, one hundred forty-four billion, one million, four thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 27 36 53 54 106 108 159 212 318 477 636 954 1431 1908 2862 5724 199860413 399720826 599581239 799441652 1199162478 1798743717 2398324956 3597487434 5396231151 7194974868 10592601889 10792462302 21185203778 21584924604 31777805667 42370407556 63555611334 95333417001 127111222668 190666834002 286000251003 381333668004 572000502006 1144001004012