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43425465635040 = 2535101818886133
BaseRepresentation
bin10011101111110110001110…
…11101000001000011100000
312200202102201100211221202120
421313323013131001003200
521142440323200310130
6232205214500544240
712101246343401556
oct1167730735010340
9180672640757676
1043425465635040
1112922700284715
124a541906b2080
131b300085815a8
14aa1b376c9bd6
155048e1857910
hex277ec77410e0

43425465635040 has 96 divisors (see below), whose sum is σ = 136803667978656. Its totient is φ = 11578985441280.

The previous prime is 43425465635011. The next prime is 43425465635089. The reversal of 43425465635040 is 4053656452434.

43425465635040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 443814 + ... + 9329946.

It is an arithmetic number, because the mean of its divisors is an integer number (1425038208111).

Almost surely, 243425465635040 is an apocalyptic number.

43425465635040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

43425465635040 is an abundant number, since it is smaller than the sum of its proper divisors (93378202343616).

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

43425465635040 is a wasteful number, since it uses less digits than its factorization.

43425465635040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8896332 (or 8896324 counting only the distinct ones).

The product of its (nonzero) digits is 20736000, while the sum is 51.

The spelling of 43425465635040 in words is "forty-three trillion, four hundred twenty-five billion, four hundred sixty-five million, six hundred thirty-five thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 10181 20362 30543 40724 50905 61086 81448 101810 122172 152715 162896 203620 244344 305430 325792 407240 488688 610860 814480 977376 1221720 1628960 2443440 4886880 8886133 17772266 26658399 35544532 44430665 53316798 71089064 88861330 106633596 133291995 142178128 177722660 213267192 266583990 284356256 355445320 426534384 533167980 710890640 853068768 1066335960 1421781280 2132671920 4265343840 90469720073 180939440146 271409160219 361878880292 452348600365 542818320438 723757760584 904697200730 1085636640876 1357045801095 1447515521168 1809394401460 2171273281752 2714091602190 2895031042336 3618788802920 4342546563504 5428183204380 7237577605840 8685093127008 10856366408760 14475155211680 21712732817520 43425465635040