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212134240144 = 24107774116007
BaseRepresentation
bin1100010110010000101…
…1111001111110010000
3202021112222222221201001
43011210023321332100
511433422331141034
6241241512551344
721216612201301
oct3054413717620
9667488887631
10212134240144
1181a69280442
12351433b2554
1317009225428
14a3a58847a8
1557b88aea14
hex31642f9f90

212134240144 has 40 divisors (see below), whose sum is σ = 414930817728. Its totient is φ = 105055701120.

The previous prime is 212134240141. The next prime is 212134240187. The reversal of 212134240144 is 441042431212.

212134240144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2121342401442 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (212134240141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13244589 + ... + 13260595.

Almost surely, 2212134240144 is an apocalyptic number.

It is an amenable number.

212134240144 is a deficient number, since it is larger than the sum of its proper divisors (202796577584).

212134240144 is a wasteful number, since it uses less digits than its factorization.

212134240144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23863 (or 23857 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 28.

Adding to 212134240144 its reverse (441042431212), we get a palindrome (653176671356).

The spelling of 212134240144 in words is "two hundred twelve billion, one hundred thirty-four million, two hundred forty thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 107 214 428 856 1712 7741 15482 16007 30964 32014 61928 64028 123856 128056 256112 828287 1656574 1712749 3313148 3425498 6626296 6850996 13252592 13701992 27403984 123910187 247820374 495640748 991281496 1982562992 13258390009 26516780018 53033560036 106067120072 212134240144