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1114012848 = 243132191719
BaseRepresentation
bin100001001100110…
…0111110010110000
32212122012201100010
41002121213302300
54240141402343
6302313054520
736414644604
oct10231476260
92778181303
101114012848
11521916383
122710b7440
13149a48c00
14a7d49504
1567c02d33
hex42667cb0

1114012848 has 120 divisors (see below), whose sum is σ = 3136942080. Its totient is φ = 340504320.

The previous prime is 1114012841. The next prime is 1114012903. The reversal of 1114012848 is 8482104111.

It is a super-2 number, since 2×11140128482 = 2482049251018142208, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1114012841) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1549033 + ... + 1549751.

It is an arithmetic number, because the mean of its divisors is an integer number (26141184).

Almost surely, 21114012848 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 1114012848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1568471040).

1114012848 is an abundant number, since it is smaller than the sum of its proper divisors (2022929232).

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

1114012848 is a wasteful number, since it uses less digits than its factorization.

1114012848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 947 (or 928 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 30.

The square root of 1114012848 is about 33376.8310059538. The cubic root of 1114012848 is about 1036.6450220125.

Adding to 1114012848 its reverse (8482104111), we get a palindrome (9596116959).

The spelling of 1114012848 in words is "one billion, one hundred fourteen million, twelve thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 104 156 169 191 208 312 338 382 507 573 624 676 719 764 1014 1146 1352 1438 1528 2028 2157 2292 2483 2704 2876 3056 4056 4314 4584 4966 5752 7449 8112 8628 9168 9347 9932 11504 14898 17256 18694 19864 28041 29796 32279 34512 37388 39728 56082 59592 64558 74776 96837 112164 119184 121511 129116 137329 149552 193674 224328 243022 258232 274658 364533 387348 411987 448656 486044 516464 549316 729066 774696 823974 972088 1098632 1458132 1549392 1647948 1785277 1944176 2197264 2916264 3295896 3570554 5355831 5832528 6591792 7141108 10711662 14282216 21423324 23208601 28564432 42846648 46417202 69625803 85693296 92834404 139251606 185668808 278503212 371337616 557006424 1114012848