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2114047488 = 2937972027
BaseRepresentation
bin111111000000001…
…1100111000000000
312110022221201222010
41332000130320000
513312144004423
6545435212520
7103250051520
oct17600347000
95408851863
102114047488
11995363193
124abba7140
13278c98a97
14160aa5680
15c58de693
hex7e01ce00

2114047488 has 160 divisors (see below), whose sum is σ = 6506083584. Its totient is φ = 597491712.

The previous prime is 2114047417. The next prime is 2114047501. The reversal of 2114047488 is 8847404112.

It is a super-2 number, since 2×21140474882 = 8938393563038220288, which contains 22 as substring.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a zygodrome in base 2.

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, 1041931 + ... + 1043957.

Almost surely, 22114047488 is an apocalyptic number.

2114047488 is a gapful number since it is divisible by the number (28) 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 2114047488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3253041792).

2114047488 is an abundant number, since it is smaller than the sum of its proper divisors (4392036096).

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

2114047488 is an equidigital number, since it uses as much as digits as its factorization.

2114047488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2152 (or 2136 counting only the distinct ones).

The product of its (nonzero) digits is 57344, while the sum is 39.

The square root of 2114047488 is about 45978.7721454151. The cubic root of 2114047488 is about 1283.4282059208.

The spelling of 2114047488 in words is "two billion, one hundred fourteen million, forty-seven thousand, four hundred eighty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 97 112 128 168 192 194 224 256 291 336 384 388 448 512 582 672 679 768 776 896 1164 1344 1358 1536 1552 1792 2027 2037 2328 2688 2716 3104 3584 4054 4074 4656 5376 5432 6081 6208 8108 8148 9312 10752 10864 12162 12416 14189 16216 16296 18624 21728 24324 24832 28378 32432 32592 37248 42567 43456 48648 49664 56756 64864 65184 74496 85134 86912 97296 113512 129728 130368 148992 170268 173824 194592 196619 227024 259456 260736 340536 347648 389184 393238 454048 518912 521472 589857 681072 778368 786476 908096 1037824 1042944 1179714 1362144 1376333 1556736 1572952 1816192 2359428 2724288 2752666 3113472 3145904 3632384 4128999 4718856 5448576 5505332 6291808 7264768 8257998 9437712 10897152 11010664 12583616 16515996 18875424 21794304 22021328 25167232 33031992 37750848 44042656 50334464 66063984 75501696 88085312 100668928 132127968 151003392 176170624 264255936 302006784 352341248 528511872 704682496 1057023744 2114047488