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44116025364021 = 313531391512773671
BaseRepresentation
bin10100000011111100100000…
…00001010100111000110101
312210012110011122210220012010
422001332100001110320311
521240244104443122041
6233454342224314433
712202164143265222
oct1201762001247065
9183173148726163
1044116025364021
1113069557240a36
124b45b93772a19
131b8017ac99940
14ac7326d30949
1551785bc67a16
hex281f90054e35

44116025364021 has 128 divisors (see below), whose sum is σ = 65690244587520. Its totient is φ = 26167370112000.

The previous prime is 44116025363887. The next prime is 44116025364031. The reversal of 44116025364021 is 12046352061144.

It is not a de Polignac number, because 44116025364021 - 233 = 44107435429429 is a prime.

It is a super-2 number, since 2×441160253640212 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (44116025364031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 12017439016 + ... + 12017442686.

It is an arithmetic number, because the mean of its divisors is an integer number (513205035840).

Almost surely, 244116025364021 is an apocalyptic number.

It is an amenable number.

44116025364021 is a deficient number, since it is larger than the sum of its proper divisors (21574219223499).

44116025364021 is a wasteful number, since it uses less digits than its factorization.

44116025364021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4307.

The product of its (nonzero) digits is 138240, while the sum is 39.

The spelling of 44116025364021 in words is "forty-four trillion, one hundred sixteen billion, twenty-five million, three hundred sixty-four thousand, twenty-one".

Divisors: 1 3 13 39 53 139 151 159 277 417 453 689 831 1807 1963 2067 3601 3671 5421 5889 7367 8003 10803 11013 14681 20989 22101 24009 38503 41827 44043 47723 62967 95771 104039 115509 125481 143169 190853 194563 272857 287313 312117 500539 510269 543751 554321 572559 583689 818571 1016867 1112417 1501617 1530807 1631253 1662963 2040659 2216831 2529319 3050601 3337251 5813953 6121977 6633497 6650493 7206173 7587957 13219271 14461421 17441859 19900491 21618519 26528567 27044257 28818803 29379013 39657813 43384263 53893951 75581389 77050619 79585701 81132771 86456409 88137039 141344513 153546917 161681853 226744167 231151857 308139509 351575341 381927169 424033539 460640751 700621363 924418527 1001658047 1054726023 1145781507 1837478669 1996109921 2101864089 3004974141 4005813617 4083682807 5512436007 5988329763 7491259189 8137986601 12017440851 12251048421 21343021463 22473777567 24413959803 53087876491 64029064389 97386369457 105793825813 159263629473 277459279019 292159108371 317381477439 832377837057 1131180137539 3393540412617 14705341788007 44116025364021