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140012210401 = 7241257271177
BaseRepresentation
bin1000001001100101100…
…0001100100011100001
3111101101200200020021021
42002121120030203201
54243221111213101
6144153135325441
713054430103100
oct2023130144341
9441350606237
10140012210401
1154419273a88
1223175980881
131028427899b
146ac30ca037
153996d345a1
hex209960c8e1

140012210401 has 24 divisors (see below), whose sum is σ = 167493634056. Its totient is φ = 116627374080.

The previous prime is 140012210399. The next prime is 140012210423. The reversal of 140012210401 is 104012210041.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 41965571025 + 98046639376 = 204855^2 + 313124^2 .

It is not a de Polignac number, because 140012210401 - 21 = 140012210399 is a prime.

It is a super-3 number, since 3×1400122104013 (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (140012210441) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 380725 + ... + 651901.

It is an arithmetic number, because the mean of its divisors is an integer number (6978901419).

Almost surely, 2140012210401 is an apocalyptic number.

It is an amenable number.

140012210401 is a deficient number, since it is larger than the sum of its proper divisors (27481423655).

140012210401 is a wasteful number, since it uses less digits than its factorization.

140012210401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 271489 (or 271482 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 140012210401 its reverse (104012210041), we get a palindrome (244024420442).

The spelling of 140012210401 in words is "one hundred forty billion, twelve million, two hundred ten thousand, four hundred one".

Divisors: 1 7 41 49 257 287 1799 2009 10537 12593 73759 271177 516313 1898239 11118257 13287673 69692489 77827799 487847423 544794593 2857392049 3414931961 20001744343 140012210401