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144212004207 = 33172715412143
BaseRepresentation
bin1000011001001110110…
…1001000110101101111
3111210020101022212022000
42012103231020311233
54330321233113312
6150130003423343
713263464544645
oct2062355106557
9453211285260
10144212004207
1156183a0a257
1223b48384b53
13107a33b188b
146da0bab195
153b408c2adc
hex2193b48d6f

144212004207 has 64 divisors (see below), whose sum is σ = 227575480320. Its totient is φ = 89943436800.

The previous prime is 144212004193. The next prime is 144212004239. The reversal of 144212004207 is 702400212441.

144212004207 is a `hidden beast` number, since 1 + 442 + 12 + 0 + 0 + 4 + 207 = 666.

It is not a de Polignac number, because 144212004207 - 26 = 144212004143 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144212004107) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 67293378 + ... + 67295520.

It is an arithmetic number, because the mean of its divisors is an integer number (3555866880).

Almost surely, 2144212004207 is an apocalyptic number.

144212004207 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

144212004207 is a deficient number, since it is larger than the sum of its proper divisors (83363476113).

144212004207 is a wasteful number, since it uses less digits than its factorization.

144212004207 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2981 (or 2975 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 27.

Adding to 144212004207 its reverse (702400212441), we get a palindrome (846612216648).

The spelling of 144212004207 in words is "one hundred forty-four billion, two hundred twelve million, four thousand, two hundred seven".

Divisors: 1 3 9 17 27 51 153 271 459 541 813 1623 2143 2439 4607 4869 6429 7317 9197 13821 14607 19287 27591 36431 41463 57861 82773 109293 124389 146611 248319 327879 439833 580753 983637 1159363 1319499 1742259 2492387 3478089 3958497 5226777 7477161 9872801 10434267 15680331 19709171 22431483 29618403 31302801 59127513 67294449 88855209 177382539 266565627 314187373 532147617 942562119 2827686357 5341185341 8483059071 16023556023 48070668069 144212004207