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40643954402689 = 112174310918123291
BaseRepresentation
bin10010011110111001010000…
…11101101110010110000001
312022220112011001202002000001
421033130220131232112001
520311402304311341224
6222235324102000001
711363300036126251
oct1117345035562601
9168815131662001
1040643954402689
1111a50005746a00
1246850a2116001
13198a929622771
14a0726c1b1961
154a73987db544
hex24f72876e581

40643954402689 has 96 divisors (see below), whose sum is σ = 49118791962240. Its totient is φ = 33467841792000.

The previous prime is 40643954402651. The next prime is 40643954402819. The reversal of 40643954402689 is 98620445934604.

40643954402689 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 40643954402689 - 217 = 40643954271617 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 40643954402689.

It is not an unprimeable number, because it can be changed into a prime (40643954402629) 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 95 ways as a sum of consecutive naturals, for example, 1745038134 + ... + 1745061424.

It is an arithmetic number, because the mean of its divisors is an integer number (511654082940).

Almost surely, 240643954402689 is an apocalyptic number.

It is an amenable number.

40643954402689 is a deficient number, since it is larger than the sum of its proper divisors (8474837559551).

40643954402689 is a wasteful number, since it uses less digits than its factorization.

40643954402689 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23663 (or 23652 counting only the distinct ones).

The product of its (nonzero) digits is 179159040, while the sum is 64.

The spelling of 40643954402689 in words is "forty trillion, six hundred forty-three billion, nine hundred fifty-four million, four hundred two thousand, six hundred eighty-nine".

Divisors: 1 11 17 43 109 121 181 187 473 731 1199 1853 1991 2057 3077 4687 5203 7783 8041 13189 19729 20383 21901 23291 33847 51557 79679 85613 88451 132311 217019 224213 256201 335393 372317 395947 567127 848347 876469 941743 1001513 1455421 2387209 2538719 2818211 3689323 4215671 4355417 9331817 9641159 11016643 14421899 16009631 17025721 27925909 40582553 43158223 46372381 47909587 71666407 102649987 109164917 121183073 158640889 181273853 187282931 307184999 459508139 474740453 510096191 788330477 1200814087 1745049779 1855803589 1994012383 2060112241 3081655501 5054589529 5222144983 7811638363 8671635247 13208954957 19758849977 20413839479 21934136213 33898210511 55600484819 85928021993 217347349747 224552234269 335900449609 372880315621 945208241923 2390820847217 3694904945699 40643954402689