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2240142751 = 721117273197
BaseRepresentation
bin1000010110000101…
…1101110110011111
312210010020001011001
42011201131312133
514041434032001
61010142011131
7106340620300
oct20541356637
95703201131
102240142751
11a4a558450
12526276aa7
13299148172
1417372a7a7
15d19eb001
hex8585dd9f

2240142751 has 72 divisors (see below), whose sum is σ = 3076744176. Its totient is φ = 1612154880.

The previous prime is 2240142743. The next prime is 2240142767. The reversal of 2240142751 is 1572410422.

It is not a de Polignac number, because 2240142751 - 23 = 2240142743 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2240142721) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 11371185 + ... + 11371381.

It is an arithmetic number, because the mean of its divisors is an integer number (42732558).

Almost surely, 22240142751 is an apocalyptic number.

2240142751 is a deficient number, since it is larger than the sum of its proper divisors (836601425).

2240142751 is a wasteful number, since it uses less digits than its factorization.

2240142751 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 329 (or 305 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 28.

The square root of 2240142751 is about 47330.1463234586. The cubic root of 2240142751 is about 1308.4543180081.

It can be divided in two parts, 2240 and 142751, that added together give a triangular number (144991 = T538).

The spelling of 2240142751 in words is "two billion, two hundred forty million, one hundred forty-two thousand, seven hundred fifty-one".

Divisors: 1 7 11 17 49 73 77 119 187 197 289 511 539 803 833 1241 1309 1379 2023 2167 3179 3349 3577 5621 8687 9163 9653 13651 14161 14381 15169 21097 22253 23443 36839 39347 56933 60809 95557 100667 106183 147679 155771 158191 164101 232067 244477 257873 398531 626263 668899 704669 1033753 1107337 1624469 1711339 1805111 2689247 2789717 4156109 4383841 7751359 11371283 11979373 18824729 29092763 30686887 45717199 131773103 203649341 320020393 2240142751