Search a number
-
+
143814554445744 = 2433721318114591979
BaseRepresentation
bin100000101100110001101111…
…011011100110011110110000
3200212012112111120102000012000
4200230301233123212132300
5122322224201414230434
61225511254431134000
742202154504062500
oct4054615733463660
9625175446360160
10143814554445744
1141907456824176
1214168283374300
136232867634a30
14277293950ba00
151195e2eb75b99
hex82cc6f6e67b0

143814554445744 has 960 divisors, whose sum is σ = 520611803712000. Its totient is φ = 37674660280320.

The previous prime is 143814554445719. The next prime is 143814554445763. The reversal of 143814554445744 is 447544455418341.

143814554445744 is a `hidden beast` number, since 1 + 4 + 3 + 8 + 1 + 4 + 5 + 54 + 4 + 4 + 574 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 72670314547 + ... + 72670316525.

It is an arithmetic number, because the mean of its divisors is an integer number (542303962200).

Almost surely, 2143814554445744 is an apocalyptic number.

143814554445744 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 143814554445744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260305901856000).

143814554445744 is an abundant number, since it is smaller than the sum of its proper divisors (376797249266256).

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

143814554445744 is a wasteful number, since it uses less digits than its factorization.

143814554445744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3663 (or 3644 counting only the distinct ones).

The product of its digits is 344064000, while the sum is 63.

The spelling of 143814554445744 in words is "one hundred forty-three trillion, eight hundred fourteen billion, five hundred fifty-four million, four hundred forty-five thousand, seven hundred forty-four".