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1141321135136 = 25721367835687
BaseRepresentation
bin10000100110111100000…
…010100111010000100000
311001002221122001220221012
4100212330002213100200
5122144411202311021
62232152104520052
7145313000403200
oct20467402472040
94032848056835
101141321135136
11400039032456
12165242180028
138381a7857b0
143d3512d8400
151ea4d45035b
hex109bc0a7420

1141321135136 has 144 divisors (see below), whose sum is σ = 2856909738816. Its totient is φ = 444772145664.

The previous prime is 1141321135109. The next prime is 1141321135147. The reversal of 1141321135136 is 6315311231411.

It is a super-2 number, since 2×11413211351362 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

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, 947885 + ... + 1783571.

It is an arithmetic number, because the mean of its divisors is an integer number (19839650964).

Almost surely, 21141321135136 is an apocalyptic number.

1141321135136 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1141321135136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1428454869408).

1141321135136 is an abundant number, since it is smaller than the sum of its proper divisors (1715588603680).

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

1141321135136 is a wasteful number, since it uses less digits than its factorization.

1141321135136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 835791 (or 835776 counting only the distinct ones).

The product of its digits is 6480, while the sum is 32.

Adding to 1141321135136 its reverse (6315311231411), we get a palindrome (7456632366547).

The spelling of 1141321135136 in words is "one trillion, one hundred forty-one billion, three hundred twenty-one million, one hundred thirty-five thousand, one hundred thirty-six".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 49 52 56 67 91 98 104 112 134 182 196 208 224 268 364 392 416 469 536 637 728 784 871 938 1072 1274 1456 1568 1742 1876 2144 2548 2912 3283 3484 3752 5096 6097 6566 6968 7504 10192 12194 13132 13936 15008 20384 24388 26264 27872 42679 48776 52528 85358 97552 105056 170716 195104 341432 682864 835687 1365728 1671374 3342748 5849809 6685496 10863931 11699618 13370992 21727862 23399236 26741984 40948663 43455724 46798472 55991029 76047517 81897326 86911448 93596944 111982058 152095034 163794652 173822896 187193888 223964116 304190068 327589304 347645792 391937203 447928232 532332619 608380136 655178608 727883377 783874406 895856464 1064665238 1216760272 1310357216 1455766754 1567748812 1791712928 2129330476 2433520544 2743560421 2911533508 3135497624 4258660952 5095183639 5487120842 5823067016 6270995248 8517321904 10190367278 10974241684 11646134032 12541990496 17034643808 20380734556 21948483368 23292268064 35666285473 40761469112 43896966736 71332570946 81522938224 87793933472 142665141892 163045876448 285330283784 570660567568 1141321135136