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140105210401 = 13232431014691
BaseRepresentation
bin1000001001111011101…
…0111101101000100001
3111101122011200010021201
42002132322331220201
54243413413213101
6144210300521201
713056636432112
oct2023672755041
9441564603251
10140105210401
1154466814292
12231a0b50201
131029a60b280
146ad15b8209
1539a00a4e01
hex209eebda21

140105210401 has 48 divisors (see below), whose sum is σ = 163028682432. Its totient is φ = 119606256000.

The previous prime is 140105210387. The next prime is 140105210407. The reversal of 140105210401 is 104012501041.

140105210401 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 140105210401 - 215 = 140105177633 is a prime.

It is a super-3 number, since 3×1401052104013 (a number of 34 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (140105210407) 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, 29864466 + ... + 29869156.

It is an arithmetic number, because the mean of its divisors is an integer number (3396430884).

Almost surely, 2140105210401 is an apocalyptic number.

It is an amenable number.

140105210401 is a deficient number, since it is larger than the sum of its proper divisors (22923472031).

140105210401 is a wasteful number, since it uses less digits than its factorization.

140105210401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4894 (or 4871 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 19.

Adding to 140105210401 its reverse (104012501041), we get a palindrome (244117711442).

The spelling of 140105210401 in words is "one hundred forty billion, one hundred five million, two hundred ten thousand, four hundred one".

Divisors: 1 13 23 43 101 299 529 559 989 1313 2323 4343 4691 6877 12857 22747 30199 53429 56459 60983 99889 107893 201713 295711 473791 694577 1298557 1402609 2297447 2481539 2622269 4639399 6159283 10897193 20373013 29866811 32260007 60312187 106706177 141663509 250635439 264849169 468579299 1387180301 3258260707 6091530887 10777323877 140105210401