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24014122141042 = 2111979772082877
BaseRepresentation
bin1010111010111001110010…
…01110000100010101110010
310011000201122110110022011201
411131130321032010111302
511121421410232003132
6123023534014401414
75025651222162625
oct535347116042562
9104021573408151
1024014122141042
1177193719a1250
12283a120b0026a
1310526a2ab4937
145d040ad89dbc
152b99e0a4e2e7
hex15d739384572

24014122141042 has 32 divisors (see below), whose sum is σ = 41415938383680. Its totient is φ = 10328034473280.

The previous prime is 24014122141027. The next prime is 24014122141117.

24014122141042 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×240141221410422 (a number of 28 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 24014122141042.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35708293 + ... + 36374584.

It is an arithmetic number, because the mean of its divisors is an integer number (1294248074490).

Almost surely, 224014122141042 is an apocalyptic number.

24014122141042 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

24014122141042 is a deficient number, since it is larger than the sum of its proper divisors (17401816242638).

24014122141042 is a wasteful number, since it uses less digits than its factorization.

24014122141042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72083706.

The product of its (nonzero) digits is 4096, while the sum is 28.

It can be divided in two parts, 2401412 and 2141042, that added together give a palindrome (4542454).

The spelling of 24014122141042 in words is "twenty-four trillion, fourteen billion, one hundred twenty-two million, one hundred forty-one thousand, forty-two".

Divisors: 1 2 11 19 22 38 209 418 797 1594 8767 15143 17534 30286 166573 333146 72082877 144165754 792911647 1369574663 1585823294 2739149326 15065321293 30130642586 57450052969 114900105938 631950582659 1091551006411 1263901165318 2183102012822 12007061070521 24014122141042