Search a number
-
+
1154004151432 = 231121917198681
BaseRepresentation
bin10000110010110000000…
…000011110110010001000
311002022200112101220111111
4100302300000132302020
5122401400030321212
62242050413540104
7146242204304116
oct20626000366210
94068615356444
101154004151432
11405457293300
121677a17a4634
1384a8c291172
143dbd590cab6
1520041b3aea7
hex10cb001ec88

1154004151432 has 96 divisors (see below), whose sum is σ = 2394398361600. Its totient is φ = 521015264000.

The previous prime is 1154004151427. The next prime is 1154004151441. The reversal of 1154004151432 is 2341514004511.

It is a junction number, because it is equal to n+sod(n) for n = 1154004151394 and 1154004151403.

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, 132930132 + ... + 132938812.

It is an arithmetic number, because the mean of its divisors is an integer number (24941649600).

Almost surely, 21154004151432 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 1154004151432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1197199180800).

1154004151432 is an abundant number, since it is smaller than the sum of its proper divisors (1240394210168).

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

1154004151432 is a wasteful number, since it uses less digits than its factorization.

1154004151432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9619 (or 9604 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 31.

Adding to 1154004151432 its reverse (2341514004511), we get a palindrome (3495518155943).

The spelling of 1154004151432 in words is "one trillion, one hundred fifty-four billion, four million, one hundred fifty-one thousand, four hundred thirty-two".

Divisors: 1 2 4 8 11 22 44 88 121 191 242 382 484 719 764 968 1438 1528 2101 2876 4202 5752 7909 8404 8681 15818 16808 17362 23111 31636 34724 46222 63272 69448 86999 92444 95491 137329 173998 184888 190982 274658 347996 381964 549316 695992 763928 1050401 1098632 1510619 1658071 2100802 3021238 3316142 4201604 6042476 6241639 6632284 8403208 12084952 12483278 13264568 16616809 18238781 24966556 33233618 36477562 49933112 66467236 68658029 72955124 132934472 137316058 145910248 200626591 274632116 401253182 549264232 755238319 802506364 1192153049 1510476638 1605012728 2384306098 3020953276 4768612196 6041906552 9537224392 13113683539 26227367078 52454734156 104909468312 144250518929 288501037858 577002075716 1154004151432