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31430640405535 = 573147797801867
BaseRepresentation
bin1110010010110000001000…
…01010000000110000011111
311010021201222101000102120121
413021120010022000300133
513104424422420434120
6150503011544055411
76422534366241520
oct711300412006037
9133251871012517
1031430640405535
11a018729128548
123637575a64567
13146cb86cb30a7
147a93730a4847
153978b2db25aa
hex1c9604280c1f

31430640405535 has 64 divisors (see below), whose sum is σ = 46017289912320. Its totient is φ = 20155028549760.

The previous prime is 31430640405533. The next prime is 31430640405539. The reversal of 31430640405535 is 53550404603413.

It is not a de Polignac number, because 31430640405535 - 21 = 31430640405533 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 31430640405491 and 31430640405500.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31430640405533) 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, 127672 + ... + 7929538.

It is an arithmetic number, because the mean of its divisors is an integer number (719020154880).

Almost surely, 231430640405535 is an apocalyptic number.

31430640405535 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

31430640405535 is a deficient number, since it is larger than the sum of its proper divisors (14586649506785).

31430640405535 is a wasteful number, since it uses less digits than its factorization.

31430640405535 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7802036.

The product of its (nonzero) digits is 1296000, while the sum is 43.

The spelling of 31430640405535 in words is "thirty-one trillion, four hundred thirty billion, six hundred forty million, four hundred five thousand, five hundred thirty-five".

Divisors: 1 5 7 31 35 47 79 155 217 235 329 395 553 1085 1457 1645 2449 2765 3713 7285 10199 12245 17143 18565 25991 50995 85715 115103 129955 575515 805721 4028605 7801867 39009335 54613069 241857877 273065345 366687749 616347493 1209289385 1693005139 1833438745 2566814243 3081737465 4314432451 8465025695 11367320219 12834071215 19106772283 21572162255 28968332171 56836601095 79571241533 95533861415 133747405981 144841660855 202778325197 397856207665 668737029905 898018297301 1013891625985 4490091486505 6286128081107 31430640405535