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1405151242425 = 325273492556331
BaseRepresentation
bin10100011100101001100…
…010100110100010111001
311222022221101222000122100
4110130221202212202321
5141010222204224200
62553303443414013
7203342646330360
oct24345142464271
94868841860570
101405151242425
114a1a15275a37
121a83b2384309
13a2674bab008
144c01c7da7d7
15268404ddd00
hex147298a68b9

1405151242425 has 72 divisors (see below), whose sum is σ = 2884565028800. Its totient is φ = 640514044800.

The previous prime is 1405151242421. The next prime is 1405151242447. The reversal of 1405151242425 is 5242421515041.

1405151242425 is a `hidden beast` number, since 1 + 40 + 5 + 151 + 2 + 42 + 425 = 666.

It is not a de Polignac number, because 1405151242425 - 22 = 1405151242421 is a prime.

It is a super-3 number, since 3×14051512424253 (a number of 37 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 1405151242425.

It is not an unprimeable number, because it can be changed into a prime (1405151242421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 728491 + ... + 1827840.

Almost surely, 21405151242425 is an apocalyptic number.

1405151242425 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1405151242425 is an abundant number, since it is smaller than the sum of its proper divisors (1479413786375).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1405151242425 is a wasteful number, since it uses less digits than its factorization.

1405151242425 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2556703 (or 2556695 counting only the distinct ones).

The product of its (nonzero) digits is 64000, while the sum is 36.

Adding to 1405151242425 its reverse (5242421515041), we get a palindrome (6647572757466).

The spelling of 1405151242425 in words is "one trillion, four hundred five billion, one hundred fifty-one million, two hundred forty-two thousand, four hundred twenty-five".

Divisors: 1 3 5 7 9 15 21 25 35 45 63 75 105 175 225 315 349 525 1047 1575 1745 2443 3141 5235 7329 8725 12215 15705 21987 26175 36645 61075 78525 109935 183225 549675 2556331 7668993 12781655 17894317 23006979 38344965 53682951 63908275 89471585 115034895 161048853 191724825 268414755 447357925 575174475 805244265 892159519 1342073775 2676478557 4026221325 4460797595 6245116633 8029435671 13382392785 18735349899 22303987975 31225583165 40147178355 56206049697 66911963925 93676749495 156127915825 200735891775 281030248485 468383747475 1405151242425