Search a number
-
+
4461466909242 = 237711913782087
BaseRepresentation
bin100000011101100010000…
…1001100111101000111010
3120210111211022002120212010
41000323010021213220322
51041044041012043432
613253323011230350
7640221211006140
oct100730411475072
916714738076763
104461466909242
11147010883a712
126007b42a83b6
13264939a6b495
14115d16b23590
157b0bdcb63cc
hex40ec4267a3a

4461466909242 has 64 divisors (see below), whose sum is σ = 10346686377984. Its totient is φ = 1256092682880.

The previous prime is 4461466909187. The next prime is 4461466909271. The reversal of 4461466909242 is 2429096641644.

It is a super-2 number, since 2×44614669092422 (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5313523 + ... + 6095609.

It is an arithmetic number, because the mean of its divisors is an integer number (161666974656).

Almost surely, 24461466909242 is an apocalyptic number.

4461466909242 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 4461466909242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5173343188992).

4461466909242 is an abundant number, since it is smaller than the sum of its proper divisors (5885219468742).

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

4461466909242 is a wasteful number, since it uses less digits than its factorization.

4461466909242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 784083.

The product of its (nonzero) digits is 17915904, while the sum is 57.

The spelling of 4461466909242 in words is "four trillion, four hundred sixty-one billion, four hundred sixty-six million, nine hundred nine thousand, two hundred forty-two".

Divisors: 1 2 3 6 7 14 21 42 71 142 213 426 497 994 1491 1913 2982 3826 5739 11478 13391 26782 40173 80346 135823 271646 407469 782087 814938 950761 1564174 1901522 2346261 2852283 4692522 5474609 5704566 10949218 16423827 32847654 55528177 111056354 166584531 333169062 388697239 777394478 1166091717 1496132431 2332183434 2992264862 4488397293 8976794586 10472927017 20945854034 31418781051 62837562102 106225402601 212450805202 318676207803 637352415606 743577818207 1487155636414 2230733454621 4461466909242