Search a number
-
+
1040404442301 = 337127263164809
BaseRepresentation
bin11110010001111001110…
…11111110110010111101
310200110110120111202112000
433020330323332302331
5114021222014123201
62113542153532513
7135111122562630
oct17107473766275
93613416452460
101040404442301
11371262203474
12149779414139
1377157086673
14384da613c17
151c0e39dcd86
hexf23cefecbd

1040404442301 has 64 divisors (see below), whose sum is σ = 1782163046400. Its totient is φ = 587589303168.

The previous prime is 1040404442299. The next prime is 1040404442339. The reversal of 1040404442301 is 1032444040401.

It is not a de Polignac number, because 1040404442301 - 21 = 1040404442299 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 (1040404444301) 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, 6230385 + ... + 6395193.

It is an arithmetic number, because the mean of its divisors is an integer number (27846297600).

Almost surely, 21040404442301 is an apocalyptic number.

It is an amenable number.

1040404442301 is a deficient number, since it is larger than the sum of its proper divisors (741758604099).

1040404442301 is a wasteful number, since it uses less digits than its factorization.

1040404442301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165215 (or 165209 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 1040404442301 its reverse (1032444040401), we get a palindrome (2072848482702).

The spelling of 1040404442301 in words is "one trillion, forty billion, four hundred four million, four hundred forty-two thousand, three hundred one".

Divisors: 1 3 7 9 21 27 63 127 189 263 381 789 889 1143 1841 2367 2667 3429 5523 7101 8001 16569 24003 33401 49707 100203 164809 233807 300609 494427 701421 901827 1153663 1483281 2104263 3460989 4449843 6312789 10382967 20930743 31148901 43344767 62792229 130034301 146515201 188376687 303413369 390102903 439545603 565130061 910240107 1170308709 1318636809 2730720321 3955910427 5504785409 8192160963 16514356227 38533497863 49543068681 115600493589 148629206043 346801480767 1040404442301