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140448431013 = 311671071394271
BaseRepresentation
bin1000001011001101100…
…0001111101110100101
3111102112002111112110020
42002303120033232211
54300114244243023
6144304321145353
713101304652232
oct2026330175645
9442462445406
10140448431013
1154622528a90
1223277a8b259
131032375c7a7
146b24ddc789
1539c029ede3
hex20b360fba5

140448431013 has 64 divisors (see below), whose sum is σ = 210830376960. Its totient is φ = 82449259200.

The previous prime is 140448430981. The next prime is 140448431047. The reversal of 140448431013 is 310134844041.

140448431013 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 140448431013 - 25 = 140448430981 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (140448431083) 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 63 ways as a sum of consecutive naturals, for example, 32882068 + ... + 32886338.

It is an arithmetic number, because the mean of its divisors is an integer number (3294224640).

Almost surely, 2140448431013 is an apocalyptic number.

It is an amenable number.

140448431013 is a deficient number, since it is larger than the sum of its proper divisors (70381945947).

140448431013 is a wasteful number, since it uses less digits than its factorization.

140448431013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4598.

The product of its (nonzero) digits is 18432, while the sum is 33.

The spelling of 140448431013 in words is "one hundred forty billion, four hundred forty-eight million, four hundred thirty-one thousand, thirteen".

Divisors: 1 3 11 33 67 107 139 201 321 417 737 1177 1529 2211 3531 4271 4587 7169 9313 12813 14873 21507 27939 44619 46981 78859 102443 140943 163603 236577 286157 307329 456997 490809 593669 858471 996491 1370991 1781007 2989473 3147727 5026967 6530359 9443181 10961401 15080901 19591077 30618799 32884203 39775823 63522583 91856397 119327469 190567749 336806789 437534053 698748413 1010420367 1312602159 2096245239 4256013061 12768039183 46816143671 140448431013