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40007280807 = 3413229251661
BaseRepresentation
bin100101010000100111…
…101010100010100111
310211021011202102220000
4211100213222202213
51123413330441212
630213514512343
72614263163434
oct452047524247
9124234672800
1040007280807
1115a7008123a
1279064356b3
133a07731530
141d17544b8b
1510924741dc
hex9509ea8a7

40007280807 has 80 divisors (see below), whose sum is σ = 64997966880. Its totient is φ = 24377760000.

The previous prime is 40007280787. The next prime is 40007280917. The reversal of 40007280807 is 70808270004.

It is not a de Polignac number, because 40007280807 - 26 = 40007280743 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40007210807) 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 79 ways as a sum of consecutive naturals, for example, 60525057 + ... + 60525717.

It is an arithmetic number, because the mean of its divisors is an integer number (812474586).

Almost surely, 240007280807 is an apocalyptic number.

40007280807 is a deficient number, since it is larger than the sum of its proper divisors (24990686073).

40007280807 is a wasteful number, since it uses less digits than its factorization.

40007280807 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1166 (or 1157 counting only the distinct ones).

The product of its (nonzero) digits is 25088, while the sum is 36.

The spelling of 40007280807 in words is "forty billion, seven million, two hundred eighty thousand, eight hundred seven".

Divisors: 1 3 9 13 27 39 81 117 229 251 351 661 687 753 1053 1983 2061 2259 2977 3263 5949 6183 6777 8593 8931 9789 17847 18549 20331 25779 26793 29367 53541 57479 77337 80379 88101 151369 165911 172437 232011 241137 264303 454107 497733 517311 696033 747227 1362321 1493199 1551933 1967797 2156843 2241681 4086963 4479597 4655799 5903391 6470529 6725043 12260889 13438791 17710173 19411587 20175129 37993619 53130519 58234761 60525387 113980857 159391557 174704283 341942571 493917047 1025827713 1481751141 3077483139 4445253423 13335760269 40007280807