Search a number
-
+
1114381811382 = 237471230145893
BaseRepresentation
bin10000001101110110010…
…101001111111010110110
310221112102011222111001120
4100031312111033322312
5121224223220431012
62211535005404410
7143340264051540
oct20156625177266
93845364874046
101114381811382
1139a674531824
1215bb84269706
138111652a938
143bd1756c690
151dec33a358c
hex1037654feb6

1114381811382 has 64 divisors (see below), whose sum is σ = 2601621448704. Its totient is φ = 311588323200.

The previous prime is 1114381811363. The next prime is 1114381811393. The reversal of 1114381811382 is 2831181834111.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 24259228 + ... + 24305120.

It is an arithmetic number, because the mean of its divisors is an integer number (40650335136).

Almost surely, 21114381811382 is an apocalyptic number.

1114381811382 is an abundant number, since it is smaller than the sum of its proper divisors (1487239637322).

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

1114381811382 is a wasteful number, since it uses less digits than its factorization.

1114381811382 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58253.

The product of its digits is 36864, while the sum is 42.

The spelling of 1114381811382 in words is "one trillion, one hundred fourteen billion, three hundred eighty-one million, eight hundred eleven thousand, three hundred eighty-two".

Divisors: 1 2 3 6 7 14 21 42 47 94 141 282 329 658 987 1974 12301 24602 36903 45893 73806 86107 91786 137679 172214 258321 275358 321251 516642 578147 642502 963753 1156294 1734441 1927506 2156971 3468882 4047029 4313942 6470913 8094058 12141087 12941826 15098797 24282174 30197594 45296391 90592782 564529793 1129059586 1693589379 3387178758 3951708551 7903417102 11855125653 23710251306 26532900271 53065800542 79598700813 159197401626 185730301897 371460603794 557190905691 1114381811382