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7140883365 = 3257112434357
BaseRepresentation
bin1101010011010000…
…10011101110100101
3200102122211110102200
412221220103232211
5104111031231430
63140325525113
7341646335640
oct65150235645
920378743380
107140883365
11303492a400
121473573799
1389a562395
144ba550a57
152bbd97460
hex1a9a13ba5

7140883365 has 144 divisors (see below), whose sum is σ = 15913881984. Its totient is φ = 2897959680.

The previous prime is 7140883363. The next prime is 7140883381. The reversal of 7140883365 is 5633880417.

7140883365 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 7140883365 - 21 = 7140883363 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 7140883365.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7140883363) by changing a digit.

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 143 ways as a sum of consecutive naturals, for example, 1636767 + ... + 1641123.

Almost surely, 27140883365 is an apocalyptic number.

It is an amenable number.

7140883365 is an abundant number, since it is smaller than the sum of its proper divisors (8772998619).

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

7140883365 is a wasteful number, since it uses less digits than its factorization.

7140883365 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4440 (or 4426 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The square root of 7140883365 is about 84503.7476387882. The cubic root of 7140883365 is about 1925.6793792500.

The spelling of 7140883365 in words is "seven billion, one hundred forty million, eight hundred eighty-three thousand, three hundred sixty-five".

Divisors: 1 3 5 7 9 11 15 21 33 35 43 45 55 63 77 99 105 121 129 165 215 231 301 315 363 385 387 473 495 605 645 693 847 903 1089 1155 1419 1505 1815 1935 2365 2541 2709 3311 3465 4235 4257 4357 4515 5203 5445 7095 7623 9933 12705 13071 13545 15609 16555 21285 21785 26015 29799 30499 36421 38115 39213 46827 47927 49665 65355 78045 91497 109263 143781 148995 152495 182105 187351 196065 234135 239635 274491 327789 335489 431343 457485 527197 546315 562053 718905 936755 1006467 1311457 1372455 1581591 1638945 1677445 1686159 2060861 2156715 2635985 2810265 3019401 3690379 3934371 4744773 5032335 6182583 6557285 7907955 8430795 10304305 11071137 11803113 14426027 15097005 18451895 18547749 19671855 22669471 23723865 30912915 33213411 43278081 55355685 59015565 68008413 72130135 92738745 113347355 129834243 158686297 166067055 204025239 216390405 340042065 476058891 649171215 793431485 1020126195 1428176673 2380294455 7140883365