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45340427515008 = 273313967960131
BaseRepresentation
bin10100100111100101001000…
…00100110111010010000000
312221112111120100110201022110
422103302210010313102000
521420324143420440013
6240233034351535320
712356511026662503
oct1223624404672200
9187474510421273
1045340427515008
11134a084934525a
12510334152a540
131c3b778c96332
14b2a6ba25913a
1553961ddd02c3
hex293ca4137480

45340427515008 has 128 divisors (see below), whose sum is σ = 124351995248640. Its totient is φ = 14622242227200.

The previous prime is 45340427514961. The next prime is 45340427515057. The reversal of 45340427515008 is 80051572404354.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 46743103 + ... + 47703233.

It is an arithmetic number, because the mean of its divisors is an integer number (971499962880).

Almost surely, 245340427515008 is an apocalyptic number.

45340427515008 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45340427515008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62175997624320).

45340427515008 is an abundant number, since it is smaller than the sum of its proper divisors (79011567733632).

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

45340427515008 is a wasteful number, since it uses less digits than its factorization.

45340427515008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 964146 (or 964134 counting only the distinct ones).

The product of its (nonzero) digits is 2688000, while the sum is 48.

The spelling of 45340427515008 in words is "forty-five trillion, three hundred forty billion, four hundred twenty-seven million, five hundred fifteen thousand, eight".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 64 93 96 124 128 186 192 248 372 384 496 744 992 1488 1984 2976 3967 3968 5952 7934 11901 11904 15868 23802 31736 47604 63472 95208 122977 126944 190416 245954 253888 368931 380832 491908 507776 737862 761664 960131 983816 1475724 1523328 1920262 1967632 2880393 2951448 3840524 3935264 5760786 5902896 7681048 7870528 11521572 11805792 15362096 15741056 23043144 23611584 29764061 30724192 46086288 47223168 59528122 61448384 89292183 92172576 119056244 122896768 178584366 184345152 238112488 357168732 368690304 476224976 714337464 952449952 1428674928 1904899904 2857349856 3808839677 3809799808 5714699712 7617679354 11426519031 11429399424 15235358708 22853038062 30470717416 45706076124 60941434832 91412152248 118074029987 121882869664 182824304496 236148059974 243765739328 354222089961 365648608992 472296119948 487531478656 708444179922 731297217984 944592239896 1416888359844 1462594435968 1889184479792 2833776719688 3778368959584 5667553439376 7556737919168 11335106878752 15113475838336 22670213757504 45340427515008