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214012043012144 = 24132241328408571
BaseRepresentation
bin110000101010010010001111…
…110011010010100000110000
31001001202100111020121102020202
4300222102033303102200300
5211022333131002342034
62035055435244054332
763035600634623636
oct6052221763224060
91031670436542222
10214012043012144
1162210aa7aa8233
1220004b742343a8
139255331257200
143abc3496a9356
1519b1e273a747e
hexc2a48fcd2830

214012043012144 has 60 divisors (see below), whose sum is σ = 450860962607352. Its totient is φ = 98364934886400.

The previous prime is 214012043012083. The next prime is 214012043012147. The reversal of 214012043012144 is 441210340210412.

It is not an unprimeable number, because it can be changed into a prime (214012043012147) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 163552622 + ... + 164855949.

Almost surely, 2214012043012144 is an apocalyptic number.

It is an amenable number.

214012043012144 is an abundant number, since it is smaller than the sum of its proper divisors (236848919595208).

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

214012043012144 is a wasteful number, since it uses less digits than its factorization.

214012043012144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 328408846 (or 328408827 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 29.

Adding to 214012043012144 its reverse (441210340210412), we get a palindrome (655222383222556).

The spelling of 214012043012144 in words is "two hundred fourteen trillion, twelve billion, forty-three million, twelve thousand, one hundred forty-four".

Divisors: 1 2 4 8 13 16 26 52 104 169 208 241 338 482 676 964 1352 1928 2704 3133 3856 6266 12532 25064 40729 50128 81458 162916 325832 651664 328408571 656817142 1313634284 2627268568 4269311423 5254537136 8538622846 17077245692 34154491384 55501048499 68308982768 79146465611 111002096998 158292931222 222004193996 316585862444 444008387992 633171724888 888016775984 1028904052943 1266343449776 2057808105886 4115616211772 8231232423544 13375752688259 16462464847088 26751505376518 53503010753036 107006021506072 214012043012144