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1120214400144 = 24373333971429
BaseRepresentation
bin10000010011010001111…
…110110011110010010000
310222002110200000200200120
4100103101332303302100
5121323144341301034
62214341442150240
7143634646202520
oct20232176636220
93862420020616
101120214400144
113a2097909014
12161131652380
1381835a0c7a8
143c30c03d680
151e21546cc49
hex104d1fb3c90

1120214400144 has 40 divisors (see below), whose sum is σ = 3307299658560. Its totient is φ = 320061257088.

The previous prime is 1120214400143. The next prime is 1120214400157. The reversal of 1120214400144 is 4410044120211.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (1120214400143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1666985379 + ... + 1666986050.

It is an arithmetic number, because the mean of its divisors is an integer number (82682491464).

Almost surely, 21120214400144 is an apocalyptic number.

1120214400144 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

1120214400144 is an abundant number, since it is smaller than the sum of its proper divisors (2187085258416).

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

1120214400144 is a wasteful number, since it uses less digits than its factorization.

1120214400144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3333971447 (or 3333971441 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

Adding to 1120214400144 its reverse (4410044120211), we get a palindrome (5530258520355).

The spelling of 1120214400144 in words is "one trillion, one hundred twenty billion, two hundred fourteen million, four hundred thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 336 3333971429 6667942858 10001914287 13335885716 20003828574 23337800003 26671771432 40007657148 46675600006 53343542864 70013400009 80015314296 93351200012 140026800018 160030628592 186702400024 280053600036 373404800048 560107200072 1120214400144