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414440001141 = 31959123235207
BaseRepresentation
bin1100000011111101000…
…11001000111001110101
31110121202000222102122220
412001332203020321311
523242233120014031
6514220251312553
741641131612465
oct6017643107165
91417660872586
10414440001141
1114a843637a41
12683a314b759
133010a155a0a
14160b7c93ba5
15aba9492596
hex607e8c8e75

414440001141 has 16 divisors (see below), whose sum is σ = 591528998400. Its totient is φ = 257315110128.

The previous prime is 414440001137. The next prime is 414440001163. The reversal of 414440001141 is 141100044414.

414440001141 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 414440001141 - 22 = 414440001137 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (414440001191) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 61614241 + ... + 61620966.

It is an arithmetic number, because the mean of its divisors is an integer number (36970562400).

Almost surely, 2414440001141 is an apocalyptic number.

It is an amenable number.

414440001141 is a deficient number, since it is larger than the sum of its proper divisors (177088997259).

414440001141 is a wasteful number, since it uses less digits than its factorization.

414440001141 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123235288.

The product of its (nonzero) digits is 1024, while the sum is 24.

Adding to 414440001141 its reverse (141100044414), we get a palindrome (555540045555).

The spelling of 414440001141 in words is "four hundred fourteen billion, four hundred forty million, one thousand, one hundred forty-one".

Divisors: 1 3 19 57 59 177 1121 3363 123235207 369705621 2341468933 7024406799 7270877213 21812631639 138146667047 414440001141