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3014192896 = 281113137601
BaseRepresentation
bin1011001110101000…
…1110111100000000
321210001201212022221
42303222032330000
522133113133041
61215032340424
7134460134251
oct26352167400
97701655287
103014192896
111307484810
12701544714
133906136c0
1420845cb28
151299492d1
hexb3a8ef00

3014192896 has 144 divisors (see below), whose sum is σ = 7131908448. Its totient is φ = 1253376000.

The previous prime is 3014192873. The next prime is 3014192911. The reversal of 3014192896 is 6982914103.

It is a happy number.

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, 5014996 + ... + 5015596.

It is an arithmetic number, because the mean of its divisors is an integer number (49527142).

Almost surely, 23014192896 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 3014192896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3565954224).

3014192896 is an abundant number, since it is smaller than the sum of its proper divisors (4117715552).

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

3014192896 is a wasteful number, since it uses less digits than its factorization.

3014192896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 778 (or 764 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 43.

The square root of 3014192896 is about 54901.6656942210. The cubic root of 3014192896 is about 1444.5204038915.

It can be divided in two parts, 3014 and 192896, that multiplied together give a square (581388544 = 241122).

The spelling of 3014192896 in words is "three billion, fourteen million, one hundred ninety-two thousand, eight hundred ninety-six".

Divisors: 1 2 4 8 11 13 16 22 26 32 44 52 64 88 104 128 137 143 176 208 256 274 286 352 416 548 572 601 704 832 1096 1144 1202 1408 1507 1664 1781 2192 2288 2404 2816 3014 3328 3562 4384 4576 4808 6028 6611 7124 7813 8768 9152 9616 12056 13222 14248 15626 17536 18304 19232 19591 24112 26444 28496 31252 35072 36608 38464 39182 48224 52888 56992 62504 76928 78364 82337 85943 96448 105776 113984 125008 153856 156728 164674 171886 192896 211552 227968 250016 313456 329348 343772 385792 423104 455936 500032 626912 658696 687544 846208 905707 1000064 1070381 1253824 1317392 1375088 1692416 1811414 2000128 2140762 2507648 2634784 2750176 3622828 4281524 5015296 5269568 5500352 7245656 8563048 10539136 11000704 11774191 14491312 17126096 21078272 22001408 23548382 28982624 34252192 47096764 57965248 68504384 94193528 115930496 137008768 188387056 231860992 274017536 376774112 753548224 1507096448 3014192896