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136340033321440 = 25513292260279067
BaseRepresentation
bin11111000000000000100011…
…010000010011100111100000
3122212201222110100020022100001
4133000000203100103213200
5120332243342012241230
61201545425135105344
740501146060600214
oct3700004320234740
9585658410208301
10136340033321440
113a4955354838a3
121335b741372254
135b0ca6b691b60
142594c6dc92944
1510b67b55aa0ca
hex7c00234139e0

136340033321440 has 96 divisors (see below), whose sum is σ = 358841904835680. Its totient is φ = 48605041035264.

The previous prime is 136340033321407. The next prime is 136340033321477. The reversal of 136340033321440 is 44123330043631.

It is a self number, because there is not a number n which added to its sum of digits gives 136340033321440.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 1130079214 + ... + 1130199853.

It is an arithmetic number, because the mean of its divisors is an integer number (3737936508705).

Almost surely, 2136340033321440 is an apocalyptic number.

136340033321440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

136340033321440 is an abundant number, since it is smaller than the sum of its proper divisors (222501871514240).

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

136340033321440 is a wasteful number, since it uses less digits than its factorization.

136340033321440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2260279124 (or 2260279116 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 37.

The spelling of 136340033321440 in words is "one hundred thirty-six trillion, three hundred forty billion, thirty-three million, three hundred twenty-one thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 29 32 40 52 58 65 80 104 116 130 145 160 208 232 260 290 377 416 464 520 580 754 928 1040 1160 1508 1885 2080 2320 3016 3770 4640 6032 7540 12064 15080 30160 60320 2260279067 4520558134 9041116268 11301395335 18082232536 22602790670 29383627871 36164465072 45205581340 58767255742 65548092943 72328930144 90411162680 117534511484 131096185886 146918139355 180822325360 235069022968 262192371772 293836278710 327740464715 361644650720 470138045936 524384743544 587672557420 655480929430 852125208259 940276091872 1048769487088 1175345114840 1310961858860 1704250416518 2097538974176 2350690229680 2621923717720 3408500833036 4260626041295 4701380459360 5243847435440 6817001666072 8521252082590 10487694870880 13634003332144 17042504165180 27268006664288 34085008330360 68170016660720 136340033321440