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8140009284 = 223211213672
BaseRepresentation
bin1111001010010111…
…01010111101000100
3210000021212022112100
413211023222331010
5113132320244114
63423420352100
7405500636331
oct74513527504
923007768470
108140009284
1134a7906500
1216b20a5630
139c9554754
14573111988
15329954909
hex1e52eaf44

8140009284 has 81 divisors (see below), whose sum is σ = 22633299871. Its totient is φ = 2464865040.

The previous prime is 8140009243. The next prime is 8140009291. The reversal of 8140009284 is 4829000418.

The square root of 8140009284 is 90222.

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

It is a super-2 number, since 2×81400092842 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 5953969 + ... + 5955335.

Almost surely, 28140009284 is an apocalyptic number.

8140009284 is the 90222-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8140009284

8140009284 is an abundant number, since it is smaller than the sum of its proper divisors (14493290587).

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

8140009284 is a wasteful number, since it uses less digits than its factorization.

8140009284 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2766 (or 1383 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The cubic root of 8140009284 is about 2011.6000299107.

Multiplying 8140009284 by its sum of digits (36), we get a square (293040334224 = 5413322).

8140009284 divided by its sum of digits (36) gives a square (226111369 = 150372).

The spelling of 8140009284 in words is "eight billion, one hundred forty million, nine thousand, two hundred eighty-four".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 121 132 198 242 363 396 484 726 1089 1367 1452 2178 2734 4101 4356 5468 8202 12303 15037 16404 24606 30074 45111 49212 60148 90222 135333 165407 180444 270666 330814 496221 541332 661628 992442 1488663 1868689 1984884 2977326 3737378 5606067 5954652 7474756 11212134 16818201 20555579 22424268 33636402 41111158 61666737 67272804 82222316 123333474 185000211 226111369 246666948 370000422 452222738 678334107 740000844 904445476 1356668214 2035002321 2713336428 4070004642 8140009284