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40164270138447 = 37131727073196981
BaseRepresentation
bin10010010000111011110010…
…00011011110010001001111
312021012200000001011200001020
421020131321003132101033
520231022411123412242
6221231113323245223
711313526025142120
oct1110357103362117
9167180001150036
1040164270138447
111188563145a474
124608130979813
1319546223c9910
149cbd65182047
15499b714e06ec
hex2487790de44f

40164270138447 has 64 divisors (see below), whose sum is σ = 69813493392384. Its totient is φ = 19931968235520.

The previous prime is 40164270138437. The next prime is 40164270138451. The reversal of 40164270138447 is 74483107246104.

40164270138447 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 40164270138447 - 211 = 40164270136399 is a prime.

It is a super-2 number, since 2×401642701384472 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a self number, because there is not a number n which added to its sum of digits gives 40164270138447.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40164270138437) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10964697 + ... + 14161677.

It is an arithmetic number, because the mean of its divisors is an integer number (1090835834256).

Almost surely, 240164270138447 is an apocalyptic number.

40164270138447 is a deficient number, since it is larger than the sum of its proper divisors (29649223253937).

40164270138447 is a wasteful number, since it uses less digits than its factorization.

40164270138447 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3199728.

The product of its (nonzero) digits is 3612672, while the sum is 51.

The spelling of 40164270138447 in words is "forty trillion, one hundred sixty-four billion, two hundred seventy million, one hundred thirty-eight thousand, four hundred forty-seven".

Divisors: 1 3 7 13 17 21 39 51 91 119 221 273 357 663 1547 2707 4641 8121 18949 35191 46019 56847 105573 138057 246337 322133 598247 739011 966399 1794741 3196981 4187729 9590943 12563187 22378867 41560753 54348677 67136601 124682259 163046031 290925271 380440739 706532801 872775813 1141322217 2119598403 4945729607 8654227567 14837188821 25962682701 60579592969 112504958371 147121868639 181738778907 337514875113 441365605917 787534708597 1029853080473 1912584292307 2362604125791 3089559241419 5737752876921 13388090046149 40164270138447