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141081381530752 = 27131031279643589
BaseRepresentation
bin100000000101000000010001…
…101000010110110010000000
3200111112020201001101001222211
4200011000101220112302000
5121442434132132441002
61220015520354111504
741500536103450135
oct4005002150266200
9614466631331884
10141081381530752
1140a53306987773
12139a662527b594
136094bc00c4060
1426ba537b7458c
151149cb5668dd7
hex805011a16c80

141081381530752 has 128 divisors (see below), whose sum is σ = 305858681856000. Its totient is φ = 64431788027904.

The previous prime is 141081381530731. The next prime is 141081381530753. The reversal of 141081381530752 is 257035183180141.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×1410813815307522 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 141081381530696 and 141081381530705.

It is not an unprimeable number, because it can be changed into a prime (141081381530753) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 218888574 + ... + 219532162.

It is an arithmetic number, because the mean of its divisors is an integer number (2389520952000).

Almost surely, 2141081381530752 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 141081381530752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152929340928000).

141081381530752 is an abundant number, since it is smaller than the sum of its proper divisors (164777300325248).

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

141081381530752 is a wasteful number, since it uses less digits than its factorization.

141081381530752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 644998 (or 644986 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 49.

The spelling of 141081381530752 in words is "one hundred forty-one trillion, eighty-one billion, three hundred eighty-one million, five hundred thirty thousand, seven hundred fifty-two".

Divisors: 1 2 4 8 13 16 26 32 52 64 103 104 128 206 208 412 416 824 832 1279 1339 1648 1664 2558 2678 3296 5116 5356 6592 10232 10712 13184 16627 20464 21424 33254 40928 42848 66508 81856 85696 131737 133016 163712 171392 263474 266032 526948 532064 643589 1053896 1064128 1287178 1712581 2107792 2128256 2574356 3425162 4215584 5148712 6850324 8366657 8431168 10297424 13700648 16733314 16862336 20594848 27401296 33466628 41189696 54802592 66289667 66933256 82379392 109605184 132579334 133866512 219210368 265158668 267733024 530317336 535466048 823150331 861765671 1060634672 1070932096 1646300662 1723531342 2121269344 3292601324 3447062684 4242538688 6585202648 6894125368 8485077376 10700954303 13170405296 13788250736 21401908606 26340810592 27576501472 42803817212 52681621184 55153002944 84784484093 85607634424 105363242368 110306005888 169568968186 171215268848 339137936372 342430537696 678275872744 684861075392 1102198293209 1356551745488 1369722150784 2204396586418 2713103490976 4408793172836 5426206981952 8817586345672 10852413963904 17635172691344 35270345382688 70540690765376 141081381530752