Search a number
-
+
1120431003444 = 223437743125791
BaseRepresentation
bin10000010011011110111…
…001000101011100110100
310222010000202121021120000
4100103132321011130310
5121324120314102234
62214415140511300
7143643216251154
oct20233671053464
93863022537500
101120431003444
113a2199101305
121611920ab530
138186b85b11c
143c32cb04764
151e2294a6899
hex104dee45734

1120431003444 has 120 divisors (see below), whose sum is σ = 3012263536128. Its totient is φ = 362891067840.

The previous prime is 1120431003397. The next prime is 1120431003451. The reversal of 1120431003444 is 4443001340211.

1120431003444 is a `hidden beast` number, since 1 + 1 + 2 + 0 + 4 + 310 + 0 + 344 + 4 = 666.

It is a super-2 number, since 2×11204310034442 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 8844189 + ... + 8969979.

Almost surely, 21120431003444 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1120431003444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1506131768064).

1120431003444 is an abundant number, since it is smaller than the sum of its proper divisors (1891832532684).

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

1120431003444 is a wasteful number, since it uses less digits than its factorization.

1120431003444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126587 (or 126576 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 1120431003444 its reverse (4443001340211), we get a palindrome (5563432343655).

The spelling of 1120431003444 in words is "one trillion, one hundred twenty billion, four hundred thirty-one million, three thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 37 54 74 81 108 111 148 162 222 324 333 444 666 743 999 1332 1486 1998 2229 2972 2997 3996 4458 5994 6687 8916 11988 13374 20061 26748 27491 40122 54982 60183 80244 82473 109964 120366 125791 164946 240732 247419 251582 329892 377373 494838 503164 742257 754746 989676 1132119 1484514 1509492 2226771 2264238 2969028 3396357 4453542 4528476 4654267 6792714 8907084 9308534 10189071 13585428 13962801 18617068 20378142 27925602 40756284 41888403 55851204 83776806 93462713 125665209 167553612 186925426 251330418 280388139 373850852 376995627 502660836 560776278 753991254 841164417 1121552556 1507982508 1682328834 2523493251 3364657668 3458120381 5046986502 6916240762 7570479753 10093973004 10374361143 13832481524 15140959506 20748722286 30281919012 31123083429 41497444572 62246166858 93369250287 124492333716 186738500574 280107750861 373477001148 560215501722 1120431003444