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140212201024 = 2672287136849
BaseRepresentation
bin1000001010010101001…
…1000110011001000000
3111101220121222210211101
42002211103012121000
54244123310413044
6144225042024144
713062406021120
oct2024523063100
9441817883741
10140212201024
115451114a995
1223210948054
13102b682b92c
146b018a8c80
1539a968acd4
hex20a54c6640

140212201024 has 56 divisors (see below), whose sum is σ = 318122604800. Its totient is φ = 60064229376.

The previous prime is 140212201009. The next prime is 140212201049. The reversal of 140212201024 is 420102212041.

It is a tau number, because it is divible by the number of its divisors (56).

It is a super-2 number, since 2×1402122010242 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 140212200992 and 140212201010.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 956152 + ... + 1093000.

It is an arithmetic number, because the mean of its divisors is an integer number (5680760800).

Almost surely, 2140212201024 is an apocalyptic number.

140212201024 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

140212201024 is an abundant number, since it is smaller than the sum of its proper divisors (177910403776).

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

140212201024 is a wasteful number, since it uses less digits than its factorization.

140212201024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139155 (or 139145 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 19.

Adding to 140212201024 its reverse (420102212041), we get a palindrome (560314413065).

The spelling of 140212201024 in words is "one hundred forty billion, two hundred twelve million, two hundred one thousand, twenty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 224 448 2287 4574 9148 16009 18296 32018 36592 64036 73184 128072 136849 146368 256144 273698 512288 547396 957943 1024576 1094792 1915886 2189584 3831772 4379168 7663544 8758336 15327088 30654176 61308352 312973663 625947326 1251894652 2190815641 2503789304 4381631282 5007578608 8763262564 10015157216 17526525128 20030314432 35053050256 70106100512 140212201024