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42930182416 = 241121722772
BaseRepresentation
bin100111111110110101…
…101001100100010000
311002210212201020010011
4213332311221210100
51200410111314131
631415530444304
73046564346452
oct477665514420
9132725636104
1042930182416
111722aa72500
1283a1293694
134082160304
1421137dc2d2
1511b3d890b1
hex9fed69910

42930182416 has 135 divisors (see below), whose sum is σ = 97472457327. Its totient is φ = 18299550720.

The previous prime is 42930182413. The next prime is 42930182459. The reversal of 42930182416 is 61428103924.

The square root of 42930182416 is 207196.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 163942416 + 42766240000 = 12804^2 + 206800^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (42930182413) 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 26 ways as a sum of consecutive naturals, for example, 154982470 + ... + 154982746.

Almost surely, 242930182416 is an apocalyptic number.

42930182416 is the 207196-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42930182416

42930182416 is an abundant number, since it is smaller than the sum of its proper divisors (54542274911).

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

42930182416 is a wasteful number, since it uses less digits than its factorization.

42930182416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 618 (or 307 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 40.

The spelling of 42930182416 in words is "forty-two billion, nine hundred thirty million, one hundred eighty-two thousand, four hundred sixteen".

Divisors: 1 2 4 8 11 16 17 22 34 44 68 88 121 136 176 187 242 272 277 289 374 484 554 578 748 968 1108 1156 1496 1936 2057 2216 2312 2992 3047 3179 4114 4432 4624 4709 6094 6358 8228 9418 12188 12716 16456 18836 24376 25432 32912 33517 34969 37672 48752 50864 51799 67034 69938 75344 76729 80053 103598 134068 139876 153458 160106 207196 268136 279752 306916 320212 414392 536272 559504 569789 613832 640424 828784 844019 880583 1139578 1227664 1280848 1304393 1688038 1761166 2279156 2608786 3376076 3522332 4558312 5217572 6752152 7044664 9116624 9284209 9686413 10435144 13504304 14089328 14348323 18568418 19372826 20870288 22174681 28696646 37136836 38745652 44349362 57393292 74273672 77491304 88698724 114786584 148547344 154982608 157831553 177397448 229573168 243921491 315663106 354794896 487842982 631326212 975685964 1262652424 1951371928 2525304848 2683136401 3902743856 5366272802 10732545604 21465091208 42930182416