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1114135288 = 237312412663
BaseRepresentation
bin100001001101000…
…0101101011111000
32212122102221021221
41002122011223320
54240204312123
6302315441424
736415664560
oct10232055370
92778387257
101114135288
1152199a372
12271156274
13149a8c866
14a7d7bda0
1567c2925d
hex42685af8

1114135288 has 64 divisors (see below), whose sum is σ = 2475601920. Its totient is φ = 459993600.

The previous prime is 1114135277. The next prime is 1114135301. The reversal of 1114135288 is 8825314111.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 417045 + ... + 419707.

It is an arithmetic number, because the mean of its divisors is an integer number (38681280).

Almost surely, 21114135288 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1114135288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1237800960).

1114135288 is an abundant number, since it is smaller than the sum of its proper divisors (1361466632).

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

1114135288 is a wasteful number, since it uses less digits than its factorization.

1114135288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2948 (or 2944 counting only the distinct ones).

The product of its digits is 7680, while the sum is 34.

The square root of 1114135288 is about 33378.6651620462. The cubic root of 1114135288 is about 1036.6829994819.

Adding to 1114135288 its reverse (8825314111), we get a palindrome (9939449399).

The spelling of 1114135288 in words is "one billion, one hundred fourteen million, one hundred thirty-five thousand, two hundred eighty-eight".

Divisors: 1 2 4 7 8 14 28 31 56 62 124 217 241 248 434 482 868 964 1687 1736 1928 2663 3374 5326 6748 7471 10652 13496 14942 18641 21304 29884 37282 52297 59768 74564 82553 104594 149128 165106 209188 330212 418376 577871 641783 660424 1155742 1283566 2311484 2567132 4492481 4622968 5134264 8984962 17969924 19895273 35939848 39790546 79581092 139266911 159162184 278533822 557067644 1114135288