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5340305295 = 355131991699
BaseRepresentation
bin1001111100100111…
…01001011110001111
3111210011201121200000
410332103221132033
541414104232140
62241525135343
7246223563123
oct47623513617
914704647600
105340305295
1122a0510456
12105055a553
136714cc180
14389367583
15213c77a30
hex13e4e978f

5340305295 has 96 divisors (see below), whose sum is σ = 10395840000. Its totient is φ = 2614322304.

The previous prime is 5340305293. The next prime is 5340305317. The reversal of 5340305295 is 5925030435.

5340305295 is a `hidden beast` number, since 5 + 340 + 305 + 2 + 9 + 5 = 666.

It is not a de Polignac number, because 5340305295 - 21 = 5340305293 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5340305293) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3142356 + ... + 3144054.

It is an arithmetic number, because the mean of its divisors is an integer number (108290000).

Almost surely, 25340305295 is an apocalyptic number.

5340305295 is a deficient number, since it is larger than the sum of its proper divisors (5055534705).

5340305295 is a wasteful number, since it uses less digits than its factorization.

5340305295 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1931 (or 1919 counting only the distinct ones).

The product of its (nonzero) digits is 81000, while the sum is 36.

The square root of 5340305295 is about 73077.3925027433. The cubic root of 5340305295 is about 1747.9219191585.

The spelling of 5340305295 in words is "five billion, three hundred forty million, three hundred five thousand, two hundred ninety-five".

Divisors: 1 3 5 9 13 15 27 39 45 65 81 117 135 195 199 243 351 405 585 597 995 1053 1215 1699 1755 1791 2587 2985 3159 5097 5265 5373 7761 8495 8955 12935 15291 15795 16119 22087 23283 25485 26865 38805 45873 48357 66261 69849 76455 80595 110435 116415 137619 198783 209547 229365 241785 331305 338101 349245 412857 596349 628641 688095 993915 1014303 1047735 1690505 1789047 2064285 2981745 3042909 3143205 4395313 5071515 5367141 8945235 9128727 13185939 15214545 21976565 26835705 27386181 39557817 45643635 65929695 82158543 118673451 136930905 197789085 356020353 410792715 593367255 1068061059 1780101765 5340305295