Search a number
-
+
1132736044240 = 24534919405487
BaseRepresentation
bin10000011110111100010…
…101000101110011010000
311000021210022201010012201
4100132330111011303100
5122024320411403430
62224212144332544
7144560153340523
oct20367425056320
94007708633181
101132736044240
113a7432a6a609
12163647014154
1382a7cc66c58
143cb79048bba
151e6e98ce8ca
hex107bc545cd0

1132736044240 has 40 divisors (see below), whose sum is σ = 2633693218560. Its totient is φ = 453080324736.

The previous prime is 1132736044217. The next prime is 1132736044247. The reversal of 1132736044240 is 424406372311.

It is a tau number, because it is divible by the number of its divisors (40).

It is a self number, because there is not a number n which added to its sum of digits gives 1132736044240.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1132736044247) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 2590777 + ... + 2996263.

It is an arithmetic number, because the mean of its divisors is an integer number (65842330464).

Almost surely, 21132736044240 is an apocalyptic number.

1132736044240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1132736044240 is an abundant number, since it is smaller than the sum of its proper divisors (1500957174320).

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

1132736044240 is a wasteful number, since it uses less digits than its factorization.

1132736044240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 440419 (or 440413 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 37.

The spelling of 1132736044240 in words is "one trillion, one hundred thirty-two billion, seven hundred thirty-six million, forty-four thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 34919 69838 139676 174595 279352 349190 405487 558704 698380 810974 1396760 1621948 2027435 2793520 3243896 4054870 6487792 8109740 16219480 32438960 14159200553 28318401106 56636802212 70796002765 113273604424 141592005530 226547208848 283184011060 566368022120 1132736044240