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140221401241200 = 24352116851167701
BaseRepresentation
bin11111111000011111010110…
…110011111001011001110000
3200101111000221112201220220120
4133320133112303321121300
5121334341412204204300
61214120453352010240
741351443016552226
oct3770372663713160
9611430845656816
10140221401241200
1140751620488744
1213887a1b690980
136031a8a7cbbb6
14268aa7580ab16
1511327317193a0
hex7f87d6cf9670

140221401241200 has 60 divisors (see below), whose sum is σ = 449175888646488. Its totient is φ = 37392373664000.

The previous prime is 140221401241093. The next prime is 140221401241217. The reversal of 140221401241200 is 2142104122041.

It is a happy number.

140221401241200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 58425582651 + ... + 58425585050.

Almost surely, 2140221401241200 is an apocalyptic number.

140221401241200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

140221401241200 is an abundant number, since it is smaller than the sum of its proper divisors (308954487405288).

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

140221401241200 is a wasteful number, since it uses less digits than its factorization.

140221401241200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116851167722 (or 116851167711 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

Adding to 140221401241200 its reverse (2142104122041), we get a palindrome (142363505363241).

The spelling of 140221401241200 in words is "one hundred forty trillion, two hundred twenty-one billion, four hundred one million, two hundred forty-one thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 150 200 240 300 400 600 1200 116851167701 233702335402 350553503103 467404670804 584255838505 701107006206 934809341608 1168511677010 1402214012412 1752767515515 1869618683216 2337023354020 2804428024824 2921279192525 3505535031030 4674046708040 5608856049648 5842558385050 7011070062060 8763837577575 9348093416080 11685116770100 14022140124120 17527675155150 23370233540200 28044280248240 35055350310300 46740467080400 70110700620600 140221401241200