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1214277064 = 2371113532861
BaseRepresentation
bin100100001100000…
…0110010111001000
310010121212122222121
41020120012113020
54441323331224
6320254101024
742043120240
oct11030062710
93117778877
101214277064
11573478370
1229a7aa774
13164752a50
14b73a8b20
157190abe4
hex486065c8

1214277064 has 128 divisors (see below), whose sum is σ = 3115687680. Its totient is φ = 428313600.

The previous prime is 1214276993. The next prime is 1214277083. The reversal of 1214277064 is 4607724121.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 422994 + ... + 425854.

It is an arithmetic number, because the mean of its divisors is an integer number (24341310).

Almost surely, 21214277064 is an apocalyptic number.

1214277064 is a gapful number since it is divisible by the number (14) 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 1214277064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1557843840).

1214277064 is an abundant number, since it is smaller than the sum of its proper divisors (1901410616).

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

1214277064 is a wasteful number, since it uses less digits than its factorization.

1214277064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2951 (or 2947 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 34.

The square root of 1214277064 is about 34846.4785021385. The cubic root of 1214277064 is about 1066.8563109857.

The spelling of 1214277064 in words is "one billion, two hundred fourteen million, two hundred seventy-seven thousand, sixty-four".

Divisors: 1 2 4 7 8 11 13 14 22 26 28 44 52 53 56 77 88 91 104 106 143 154 182 212 286 308 364 371 424 572 583 616 689 728 742 1001 1144 1166 1378 1484 2002 2332 2756 2861 2968 4004 4081 4664 4823 5512 5722 7579 8008 8162 9646 11444 15158 16324 19292 20027 22888 30316 31471 32648 37193 38584 40054 53053 60632 62942 74386 80108 106106 125884 148772 151633 160216 212212 220297 251768 260351 297544 303266 409123 424424 440594 520702 606532 818246 881188 1041404 1061431 1213064 1636492 1667963 1762376 1971229 2082808 2122862 2863861 3272984 3335926 3942458 4245724 5727722 6671852 7884916 8491448 11455444 11675741 13343704 13798603 15769832 21683519 22910888 23351482 27597206 43367038 46702964 55194412 86734076 93405928 110388824 151784633 173468152 303569266 607138532 1214277064