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14013153200 = 2452314432551
BaseRepresentation
bin11010000110011111…
…11011111110110000
31100011121012221101002
431003033323332300
5212144331400300
610234302301132
71004154560024
oct150317737660
940147187332
1014013153200
115a41072452
122870b877a8
131424265a37
1496d13c384
155703805d5
hex3433fbfb0

14013153200 has 120 divisors (see below), whose sum is σ = 34844722176. Its totient is φ = 5410080000.

The previous prime is 14013153173. The next prime is 14013153211. The reversal of 14013153200 is 235131041.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5491925 + ... + 5494475.

Almost surely, 214013153200 is an apocalyptic number.

14013153200 is a gapful number since it is divisible by the number (10) 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 14013153200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17422361088).

14013153200 is an abundant number, since it is smaller than the sum of its proper divisors (20831568976).

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

14013153200 is a wasteful number, since it uses less digits than its factorization.

14013153200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3043 (or 3032 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 20.

Adding to 14013153200 its reverse (235131041), we get a palindrome (14248284241).

The spelling of 14013153200 in words is "fourteen billion, thirteen million, one hundred fifty-three thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 31 40 50 62 80 100 124 155 200 248 310 400 443 496 620 775 886 1240 1550 1772 2215 2480 2551 3100 3544 4430 5102 6200 7088 8860 10204 11075 12400 12755 13733 17720 20408 22150 25510 27466 35440 40816 44300 51020 54932 63775 68665 79081 88600 102040 109864 127550 137330 158162 177200 204080 219728 255100 274660 316324 343325 395405 510200 549320 632648 686650 790810 1020400 1098640 1130093 1265296 1373300 1581620 1977025 2260186 2746600 3163240 3954050 4520372 5493200 5650465 6326480 7908100 9040744 11300930 15816200 18081488 22601860 28252325 31632400 35032883 45203720 56504650 70065766 90407440 113009300 140131532 175164415 226018600 280263064 350328830 452037200 560526128 700657660 875822075 1401315320 1751644150 2802630640 3503288300 7006576600 14013153200