Search a number
-
+
1444231021401 = 327137670124971
BaseRepresentation
bin10101000001000010111…
…000001000001101011001
312010001210221110111012200
4111001002320020031121
5142130241120141101
63023245351000413
7206225251063140
oct25010270101531
95101727414180
101444231021401
11507549840333
121b3a9a069109
13a6262406c9c
144dc88aa6757
152787b302986
hex15042e08359

1444231021401 has 48 divisors (see below), whose sum is σ = 2401984361088. Its totient is φ = 819095904000.

The previous prime is 1444231021393. The next prime is 1444231021411. The reversal of 1444231021401 is 1041201324441.

1444231021401 is a `hidden beast` number, since 1 + 4 + 4 + 4 + 231 + 0 + 21 + 401 = 666.

It is not a de Polignac number, because 1444231021401 - 23 = 1444231021393 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1444231021411) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 57823846 + ... + 57848816.

It is an arithmetic number, because the mean of its divisors is an integer number (50041340856).

Almost surely, 21444231021401 is an apocalyptic number.

It is an amenable number.

1444231021401 is a deficient number, since it is larger than the sum of its proper divisors (957753339687).

1444231021401 is a wasteful number, since it uses less digits than its factorization.

1444231021401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31822 (or 31819 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 1444231021401 its reverse (1041201324441), we get a palindrome (2485432345842).

The spelling of 1444231021401 in words is "one trillion, four hundred forty-four billion, two hundred thirty-one million, twenty-one thousand, four hundred one".

Divisors: 1 3 7 9 21 63 137 411 959 1233 2877 6701 8631 20103 24971 46907 60309 74913 140721 174797 224739 422163 524391 918037 1573173 2754111 3421027 6426259 8262333 10263081 19278777 23947189 30789243 57836331 71841567 167330671 215524701 501992013 1171314697 1505976039 3513944091 10541832273 22924301927 68772905781 160470113489 206318717343 481410340467 1444231021401