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3200242420023 = 3112173714016049
BaseRepresentation
bin101110100100011101010…
…100000000100100110111
3102022221101101201011200220
4232210131110000210313
5404413044024420043
610450100541305423
7450131663513025
oct56443524004467
912287341634626
103200242420023
111024240463700
1243828a865273
131a2a2113957c
14b0c6d27d715
15583a4101483
hex2e91d500937

3200242420023 has 48 divisors (see below), whose sum is σ = 5100272402400. Its totient is φ = 1776113602560.

The previous prime is 3200242419967. The next prime is 3200242420027.

It is a happy number.

3200242420023 is nontrivially palindromic in base 10.

3200242420023 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 3200242420023 - 28 = 3200242419767 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 3200242419975 and 3200242420002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3200242420027) 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 47 ways as a sum of consecutive naturals, for example, 6779698 + ... + 7236351.

It is an arithmetic number, because the mean of its divisors is an integer number (106255675050).

Almost surely, 23200242420023 is an apocalyptic number.

3200242420023 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

3200242420023 is a deficient number, since it is larger than the sum of its proper divisors (1900029982377).

3200242420023 is a wasteful number, since it uses less digits than its factorization.

3200242420023 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14016128 (or 14016117 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 24.

The spelling of 3200242420023 in words is "three trillion, two hundred billion, two hundred forty-two million, four hundred twenty thousand, twenty-three".

Divisors: 1 3 11 17 33 37 51 111 121 187 363 407 561 629 1221 1887 2057 4477 6171 6919 13431 20757 76109 228327 14016049 42048147 154176539 238272833 462529617 518593813 714818499 1555781439 1695941929 2621001163 5087825787 5704531943 7863003489 8816094821 17113595829 26448284463 28831012793 62749851373 86493038379 96977043031 188249554119 290931129093 1066747473341 3200242420023