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2140353149 = 11429712
BaseRepresentation
bin111111110010011…
…0011001001111101
312112011110012112212
41333210303021331
513340412300044
6552215110205
7104016462434
oct17744631175
95464405485
102140353149
119a91a0000
124b8972365
1328157936c
1416439211b
15c7d88a9e
hex7f93327d

2140353149 has 30 divisors (see below), whose sum is σ = 2470345950. Its totient is φ = 1852219600.

The previous prime is 2140353109. The next prime is 2140353151. The reversal of 2140353149 is 9413530412.

It can be written as a sum of positive squares in only one way, i.e., 1845132025 + 295221124 = 42955^2 + 17182^2 .

It is not a de Polignac number, because 2140353149 - 212 = 2140349053 is a prime.

It is a super-2 number, since 2×21403531492 = 9162223204868432402, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2140353109) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 30145784 + ... + 30145854.

It is an arithmetic number, because the mean of its divisors is an integer number (82344865).

Almost surely, 22140353149 is an apocalyptic number.

2140353149 is a gapful number since it is divisible by the number (29) formed by its first and last digit.

It is an amenable number.

2140353149 is a deficient number, since it is larger than the sum of its proper divisors (329992801).

2140353149 is an frugal number, since it uses more digits than its factorization.

2140353149 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 215 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 32.

The square root of 2140353149 is about 46263.9508580925. The cubic root of 2140353149 is about 1288.7296247096.

The spelling of 2140353149 in words is "two billion, one hundred forty million, three hundred fifty-three thousand, one hundred forty-nine".

Divisors: 1 11 29 71 121 319 781 1331 2059 3509 5041 8591 14641 22649 38599 55451 94501 146189 249139 424589 609961 1039511 1608079 2740529 6709571 17688869 30145819 73805281 194577559 2140353149