Search a number
-
+
1120404231144 = 2332117867179821
BaseRepresentation
bin10000010011011101010…
…010111101001111101000
310222002221220020002212100
4100103131102331033220
5121324041440344034
62214412343013400
7143642442554622
oct20233522751750
93862856202770
101120404231144
113a2184a85940
1216118513a260
1381866146323
143c329335c12
151e226e69099
hex104dd4bd3e8

1120404231144 has 96 divisors (see below), whose sum is σ = 3310724420640. Its totient is φ = 339471388800.

The previous prime is 1120404231139. The next prime is 1120404231211. The reversal of 1120404231144 is 4411324040211.

1120404231144 is a `hidden beast` number, since 1 + 1 + 20 + 404 + 231 + 1 + 4 + 4 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6140754 + ... + 6320574.

It is an arithmetic number, because the mean of its divisors is an integer number (34486712715).

Almost surely, 21120404231144 is an apocalyptic number.

It is an amenable number.

1120404231144 is an abundant number, since it is smaller than the sum of its proper divisors (2190320189496).

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

1120404231144 is a wasteful number, since it uses less digits than its factorization.

1120404231144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187711 (or 187704 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 1120404231144 its reverse (4411324040211), we get a palindrome (5531728271355).

The spelling of 1120404231144 in words is "one trillion, one hundred twenty billion, four hundred four million, two hundred thirty-one thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 88 99 132 198 264 396 792 7867 15734 23601 31468 47202 62936 70803 86537 94404 141606 173074 179821 188808 259611 283212 346148 359642 519222 539463 566424 692296 719284 778833 1038444 1078926 1438568 1557666 1618389 1978031 2076888 2157852 3115332 3236778 3956062 4315704 5934093 6230664 6473556 7912124 11868186 12947112 15824248 17802279 23736372 35604558 47472744 71209116 142418232 1414651807 2829303614 4243955421 5658607228 8487910842 11317214456 12731866263 15561169877 16975821684 25463732526 31122339754 33951643368 46683509631 50927465052 62244679508 93367019262 101854930104 124489359016 140050528893 186734038524 280101057786 373468077048 560202115572 1120404231144