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141561346626 = 2357218773167
BaseRepresentation
bin1000001111010110110…
…1101011101001000010
3111112101122122111200000
42003311231223221002
54304404201043001
6145010554540430
713141010410200
oct2036555535102
9445348574600
10141561346626
1155043764a57
1223528737716
13104701b313b
146bccb40070
153a37d37a86
hex20f5b6ba42

141561346626 has 144 divisors (see below), whose sum is σ = 370320926976. Its totient is φ = 40411786464.

The previous prime is 141561346601. The next prime is 141561346727. The reversal of 141561346626 is 626643165141.

141561346626 is a `hidden beast` number, since 1 + 4 + 1 + 5 + 6 + 13 + 4 + 6 + 626 = 666.

141561346626 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1415613466262 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 44697295 + ... + 44700461.

It is an arithmetic number, because the mean of its divisors is an integer number (2571673104).

Almost surely, 2141561346626 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 141561346626, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185160463488).

141561346626 is an abundant number, since it is smaller than the sum of its proper divisors (228759580350).

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

141561346626 is a wasteful number, since it uses less digits than its factorization.

141561346626 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5075 (or 5056 counting only the distinct ones).

The product of its digits is 622080, while the sum is 45.

The spelling of 141561346626 in words is "one hundred forty-one billion, five hundred sixty-one million, three hundred forty-six thousand, six hundred twenty-six".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 49 54 63 81 98 126 147 162 189 243 294 378 441 486 567 882 1134 1323 1701 1877 2646 3167 3402 3754 3969 5631 6334 7938 9501 11262 11907 13139 16893 19002 22169 23814 26278 28503 33786 39417 44338 50679 57006 66507 78834 85509 91973 101358 118251 133014 152037 155183 171018 183946 199521 236502 256527 275919 304074 310366 354753 399042 456111 465549 513054 551838 598563 709506 769581 827757 912222 931098 1064259 1197126 1396647 1539162 1655514 1795689 2128518 2483271 2793294 3192777 3591378 4189941 4966542 5387067 5944459 6385554 7449813 8379882 10774134 11888918 12569823 14899626 17833377 22349439 25139646 35666754 37709469 41611213 44698878 53500131 75418938 83222426 107000262 124833639 160500393 249667278 291278491 321000786 374500917 481501179 582556982 749001834 873835473 963002358 1123502751 1444503537 1747670946 2247005502 2621506419 2889007074 3370508253 5243012838 6741016506 7864519257 10111524759 15729038514 20223049518 23593557771 47187115542 70780673313 141561346626