Search a number
-
+
2145277407 = 371329318741
BaseRepresentation
bin111111111011110…
…0101010111011111
312112111201101100210
41333313211113133
513343142334112
6552512423503
7104106362040
oct17767452737
95474641323
102145277407
11a00a53739
124ba547b93
132825b1820
14164cb48c7
15c850cb3c
hex7fde55df

2145277407 has 64 divisors (see below), whose sum is σ = 3759759360. Its totient is φ = 1057190400.

The previous prime is 2145277391. The next prime is 2145277451. The reversal of 2145277407 is 7047725412.

It is not a de Polignac number, because 2145277407 - 24 = 2145277391 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2145277307) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 241057 + ... + 249797.

It is an arithmetic number, because the mean of its divisors is an integer number (58746240).

Almost surely, 22145277407 is an apocalyptic number.

2145277407 is a deficient number, since it is larger than the sum of its proper divisors (1614481953).

2145277407 is a wasteful number, since it uses less digits than its factorization.

2145277407 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8824.

The product of its (nonzero) digits is 109760, while the sum is 39.

The square root of 2145277407 is about 46317.1394518271. The cubic root of 2145277407 is about 1289.7171839595.

The spelling of 2145277407 in words is "two billion, one hundred forty-five million, two hundred seventy-seven thousand, four hundred seven".

Divisors: 1 3 7 13 21 29 31 39 87 91 93 203 217 273 377 403 609 651 899 1131 1209 2639 2697 2821 6293 7917 8463 8741 11687 18879 26223 35061 61187 81809 113633 183561 245427 253489 270971 340899 760467 795431 812913 1774423 1896797 2386293 3295357 3522623 5323269 5690391 7858159 9886071 10567869 23067499 23574477 24658361 55007113 69202497 73975083 102156067 165021339 306468201 715092469 2145277407