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14402142204400 = 245231237466551
BaseRepresentation
bin1101000110010100001010…
…0100011111000111110000
31212222211110001102120202001
43101211002210133013300
53341431041401020100
650344130334103344
73014343336604336
oct321450244370760
955884401376661
1014402142204400
114652a068a1945
12174729434ab54
13806168339152
1437b0d2d45b56
1519e9758e8d6a
hexd194291f1f0

14402142204400 has 90 divisors (see below), whose sum is σ = 35753318976696. Its totient is φ = 5575022640000.

The previous prime is 14402142204397. The next prime is 14402142204419. The reversal of 14402142204400 is 440224120441.

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 17 ways as a sum of consecutive naturals, for example, 18348876 + ... + 19117675.

Almost surely, 214402142204400 is an apocalyptic number.

14402142204400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14402142204400 is an abundant number, since it is smaller than the sum of its proper divisors (21351176772296).

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

14402142204400 is a wasteful number, since it uses less digits than its factorization.

14402142204400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37466631 (or 37466589 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 28.

Adding to 14402142204400 its reverse (440224120441), we get a palindrome (14842366324841).

The spelling of 14402142204400 in words is "fourteen trillion, four hundred two billion, one hundred forty-two million, two hundred four thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 31 40 50 62 80 100 124 155 200 248 310 400 496 620 775 961 1240 1550 1922 2480 3100 3844 4805 6200 7688 9610 12400 15376 19220 24025 38440 48050 76880 96100 192200 384400 37466551 74933102 149866204 187332755 299732408 374665510 599464816 749331020 936663775 1161463081 1498662040 1873327550 2322926162 2997324080 3746655100 4645852324 5807315405 7493310200 9291704648 11614630810 14986620400 18583409296 23229261620 29036577025 36005355511 46458523240 58073154050 72010711022 92917046480 116146308100 144021422044 180026777555 232292616200 288042844088 360053555110 464585232400 576085688176 720107110220 900133887775 1440214220440 1800267775550 2880428440880 3600535551100 7201071102200 14402142204400