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130441071552 = 26311106158211
BaseRepresentation
bin111100101111011100…
…1001100101111000000
3110110200122220000001020
41321132321030233000
54114120403242202
6135531312505440
712265310546151
oct1713671145700
9413618800036
10130441071552
1150357647780
122134454b280
13c3ba39660c
146455cc1928
1535d693b5bc
hex1e5ee4cbc0

130441071552 has 112 divisors (see below), whose sum is σ = 376861693824. Its totient is φ = 39489664000.

The previous prime is 130441071511. The next prime is 130441071581. The reversal of 130441071552 is 255170144031.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2211727 + ... + 2269937.

It is an arithmetic number, because the mean of its divisors is an integer number (3364836552).

Almost surely, 2130441071552 is an apocalyptic number.

130441071552 is a gapful number since it is divisible by the number (12) 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 130441071552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188430846912).

130441071552 is an abundant number, since it is smaller than the sum of its proper divisors (246420622272).

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

130441071552 is a wasteful number, since it uses less digits than its factorization.

130441071552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59298 (or 59288 counting only the distinct ones).

The product of its (nonzero) digits is 16800, while the sum is 33.

The spelling of 130441071552 in words is "one hundred thirty billion, four hundred forty-one million, seventy-one thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 132 176 192 264 352 528 704 1056 1061 2112 2122 3183 4244 6366 8488 11671 12732 16976 23342 25464 33952 35013 46684 50928 58211 67904 70026 93368 101856 116422 140052 174633 186736 203712 232844 280104 349266 373472 465688 560208 640321 698532 746944 931376 1120416 1280642 1397064 1862752 1920963 2240832 2561284 2794128 3725504 3841926 5122568 5588256 7683852 10245136 11176512 15367704 20490272 30735408 40980544 61470816 61761871 122941632 123523742 185285613 247047484 370571226 494094968 679380581 741142452 988189936 1358761162 1482284904 1976379872 2038141743 2717522324 2964569808 3952759744 4076283486 5435044648 5929139616 8152566972 10870089296 11858279232 16305133944 21740178592 32610267888 43480357184 65220535776 130441071552