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4114050288 = 2431972231951
BaseRepresentation
bin1111010100110111…
…0110110011110000
3101121201022102000220
43311031312303300
531411144102123
61520122213040
7203643564465
oct36515666360
911551272026
104114050288
111821301967
12969954180
135074444aa
142b056166c
151912a2ce3
hexf5376cf0

4114050288 has 80 divisors (see below), whose sum is σ = 10735312896. Its totient is φ = 1357574400.

The previous prime is 4114050263. The next prime is 4114050289. The reversal of 4114050288 is 8820504114.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4114050289) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2107713 + ... + 2109663.

Almost surely, 24114050288 is an apocalyptic number.

4114050288 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

4114050288 is an abundant number, since it is smaller than the sum of its proper divisors (6621262608).

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

4114050288 is a wasteful number, since it uses less digits than its factorization.

4114050288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2382 (or 2376 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 33.

The square root of 4114050288 is about 64140.8628566844. The cubic root of 4114050288 is about 1602.3468539066.

The spelling of 4114050288 in words is "four billion, one hundred fourteen million, fifty thousand, two hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 48 197 223 394 446 591 669 788 892 1182 1338 1576 1784 1951 2364 2676 3152 3568 3902 4728 5352 5853 7804 9456 10704 11706 15608 23412 31216 43931 46824 87862 93648 131793 175724 263586 351448 384347 435073 527172 702896 768694 870146 1054344 1153041 1305219 1537388 1740292 2108688 2306082 2610438 3074776 3480584 4612164 5220876 6149552 6961168 9224328 10441752 18448656 20883504 85709381 171418762 257128143 342837524 514256286 685675048 1028512572 1371350096 2057025144 4114050288