Search a number
-
+
2040440402 = 27111317167359
BaseRepresentation
bin111100110011110…
…1010011001010010
312021012110010000202
41321213222121102
513134323043102
6534245415202
7101364312560
oct17147523122
95235403022
102040440402
11957859090
1248b40a502
132669664b0
14154dc4a30
15be1eee02
hex799ea652

2040440402 has 128 divisors (see below), whose sum is σ = 4389396480. Its totient is φ = 684610560.

The previous prime is 2040440401. The next prime is 2040440407.

2040440402 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×20404404022 = 8326794068227843208, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2040440401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5683499 + ... + 5683857.

It is an arithmetic number, because the mean of its divisors is an integer number (34292160).

Almost surely, 22040440402 is an apocalyptic number.

2040440402 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

2040440402 is an abundant number, since it is smaller than the sum of its proper divisors (2348956078).

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

2040440402 is a wasteful number, since it uses less digits than its factorization.

2040440402 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 576.

The product of its (nonzero) digits is 1024, while the sum is 20.

The square root of 2040440402 is about 45171.2342315328. The cubic root of 2040440402 is about 1268.3564002789.

It can be divided in two parts, 20404 and 40402, that added together give a palindrome (60806).

The spelling of 2040440402 in words is "two billion, forty million, four hundred forty thousand, four hundred two".

Divisors: 1 2 7 11 13 14 17 22 26 34 77 91 119 143 154 167 182 187 221 238 286 334 359 374 442 718 1001 1169 1309 1547 1837 2002 2171 2338 2431 2513 2618 2839 3094 3674 3949 4342 4667 4862 5026 5678 6103 7898 9334 12206 12859 15197 17017 19873 23881 25718 27643 30394 31229 32669 34034 36907 39746 42721 47762 51337 55286 59953 62458 65338 67133 73814 79339 85442 102674 119906 134266 158678 167167 218603 258349 334334 359359 405977 419671 437206 469931 516698 555373 659483 718718 779389 811954 839342 872729 939862 1019201 1110746 1318966 1558778 1745458 2038402 2841839 4616381 5455723 5683678 6109103 7134407 8573279 9232762 10911446 11211211 12218206 13249613 14268814 17146558 22422422 26499226 60012953 78478477 92747291 120025906 145745743 156956954 185494582 291491486 1020220201 2040440402