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231011211440 = 2456147338363
BaseRepresentation
bin1101011100100101010…
…1110101100010110000
3211002021120100110012002
43113021111311202300
512241102332231230
6254043003553132
722455446620112
oct3271125654260
9732246313162
10231011211440
1189a75896369
123893122b7a8
1318a27048529
14b2769553b2
156020c46545
hex35c95758b0

231011211440 has 40 divisors (see below), whose sum is σ = 545906013648. Its totient is φ = 90889655040.

The previous prime is 231011211437. The next prime is 231011211461. The reversal of 231011211440 is 44112110132.

231011211440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

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, 23664302 + ... + 23674061.

Almost surely, 2231011211440 is an apocalyptic number.

231011211440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

231011211440 is an abundant number, since it is smaller than the sum of its proper divisors (314894802208).

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

231011211440 is a wasteful number, since it uses less digits than its factorization.

231011211440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47338437 (or 47338431 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 20.

Adding to 231011211440 its reverse (44112110132), we get a palindrome (275123321572).

The spelling of 231011211440 in words is "two hundred thirty-one billion, eleven million, two hundred eleven thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 61 80 122 244 305 488 610 976 1220 2440 4880 47338363 94676726 189353452 236691815 378706904 473383630 757413808 946767260 1893534520 2887640143 3787069040 5775280286 11550560572 14438200715 23101121144 28876401430 46202242288 57752802860 115505605720 231011211440