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14428611900 = 22325239894019
BaseRepresentation
bin11010111000000001…
…10010010100111100
31101020112222102120100
431130000302110330
5214022211040100
610343423121100
71020361114623
oct153400622474
941215872510
1014428611900
11613463674a
122968143190
13148c35a6a1
149ac3a86ba
15596a99400
hex35c03253c

14428611900 has 108 divisors (see below), whose sum is σ = 45248275800. Its totient is φ = 3845708160.

The previous prime is 14428611853. The next prime is 14428611907. The reversal of 14428611900 is 911682441.

14428611900 is a `hidden beast` number, since 14 + 4 + 28 + 611 + 9 + 0 + 0 = 666.

It is a super-2 number, since 2×144286119002 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14428611907) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3588091 + ... + 3592109.

Almost surely, 214428611900 is an apocalyptic number.

14428611900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14428611900 is an abundant number, since it is smaller than the sum of its proper divisors (30819663900).

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

14428611900 is a wasteful number, since it uses less digits than its factorization.

14428611900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8028 (or 8018 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The spelling of 14428611900 in words is "fourteen billion, four hundred twenty-eight million, six hundred eleven thousand, nine hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 150 180 225 300 450 900 3989 4019 7978 8038 11967 12057 15956 16076 19945 20095 23934 24114 35901 36171 39890 40190 47868 48228 59835 60285 71802 72342 79780 80380 99725 100475 119670 120570 143604 144684 179505 180855 199450 200950 239340 241140 299175 301425 359010 361710 398900 401900 598350 602850 718020 723420 897525 904275 1196700 1205700 1795050 1808550 3590100 3617100 16031791 32063582 48095373 64127164 80158955 96190746 144286119 160317910 192381492 240476865 288572238 320635820 400794775 480953730 577144476 721430595 801589550 961907460 1202384325 1442861190 1603179100 2404768650 2885722380 3607152975 4809537300 7214305950 14428611900