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214144402004130 = 23513556679863801
BaseRepresentation
bin110000101100001101100001…
…000000110001100010100010
31001002020000010120101212112010
4300230031201000301202202
5211032020213403113010
62035240325152413350
763051264624530643
oct6054154100614242
91032200116355463
10214144402004130
116226214921aa14
1220026752b47256
139264965a8a090
143ac490419b6ca
1519b55c2391620
hexc2c3610318a2

214144402004130 has 64 divisors (see below), whose sum is σ = 553490914773888. Its totient is φ = 52711515916800.

The previous prime is 214144402004111. The next prime is 214144402004131. The reversal of 214144402004130 is 31400204441412.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (214144402004131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16778230 + ... + 26642030.

It is an arithmetic number, because the mean of its divisors is an integer number (8648295543342).

Almost surely, 2214144402004130 is an apocalyptic number.

214144402004130 is an abundant number, since it is smaller than the sum of its proper divisors (339346512769758).

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

214144402004130 is a wasteful number, since it uses less digits than its factorization.

214144402004130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9919491.

The product of its (nonzero) digits is 12288, while the sum is 30.

Adding to 214144402004130 its reverse (31400204441412), we get a palindrome (245544606445542).

The spelling of 214144402004130 in words is "two hundred fourteen trillion, one hundred forty-four billion, four hundred two million, four thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 13 15 26 30 39 65 78 130 195 390 55667 111334 167001 278335 334002 556670 723671 835005 1447342 1670010 2171013 3618355 4342026 7236710 9863801 10855065 19727602 21710130 29591403 49319005 59182806 98638010 128229413 147957015 256458826 295914030 384688239 641147065 769376478 1282294130 1923441195 3846882390 549088210267 1098176420534 1647264630801 2745441051335 3294529261602 5490882102670 7138146733471 8236323154005 14276293466942 16472646308010 21414440200413 35690733667355 42828880400826 71381467334710 107072201002065 214144402004130