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141035242351554 = 233174123331606151
BaseRepresentation
bin100000000100010101010011…
…100001010110101111000010
3200111100211121112100220212000
4200010111103201112233002
5121441210134020222204
61215542410151244430
741464313532056535
oct4004252341265702
9614324545326760
10141035242351554
1140a3578a587511
12139996a9379716
1360907491951a5
1426b81dc0c8a1c
1511489b4c06039
hex804553856bc2

141035242351554 has 128 divisors (see below), whose sum is σ = 340087395432960. Its totient is φ = 43148641536000.

The previous prime is 141035242351441. The next prime is 141035242351579. The reversal of 141035242351554 is 455153242530141.

141035242351554 is a `hidden beast` number, since 1 + 4 + 1 + 0 + 3 + 5 + 2 + 42 + 3 + 51 + 554 = 666.

It is a Curzon number.

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 63 ways as a sum of consecutive naturals, for example, 87006379 + ... + 88612529.

It is an arithmetic number, because the mean of its divisors is an integer number (2656932776820).

Almost surely, 2141035242351554 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 141035242351554, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170043697716480).

141035242351554 is an abundant number, since it is smaller than the sum of its proper divisors (199052153081406).

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

141035242351554 is a wasteful number, since it uses less digits than its factorization.

141035242351554 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1608553 (or 1608547 counting only the distinct ones).

The product of its (nonzero) digits is 1440000, while the sum is 45.

Adding to 141035242351554 its reverse (455153242530141), we get a palindrome (596188484881695).

The spelling of 141035242351554 in words is "one hundred forty-one trillion, thirty-five billion, two hundred forty-two million, three hundred fifty-one thousand, five hundred fifty-four".

Divisors: 1 2 3 6 9 17 18 27 34 41 51 54 82 102 123 153 246 306 369 459 697 738 918 1107 1394 2091 2214 2333 4182 4666 6273 6999 12546 13998 18819 20997 37638 39661 41994 62991 79322 95653 118983 125982 191306 237966 286959 356949 573918 713898 860877 1070847 1606151 1626101 1721754 2141694 2582631 3212302 3252202 4818453 4878303 5165262 9636906 9756606 14455359 14634909 27304567 28910718 29269818 43366077 43904727 54609134 65852191 81913701 86732154 87809454 131704382 163827402 197556573 245741103 395113146 491482206 592669719 737223309 1119487247 1185339438 1474446618 1778009157 2238974494 3358461741 3556018314 3747150283 6716923482 7494300566 10075385223 11241450849 20150770446 22482901698 30226155669 33724352547 60452311338 63701554811 67448705094 101173057641 127403109622 153633161603 191104664433 202346115282 307266323206 382209328866 460899484809 573313993299 921798969618 1146627986598 1382698454427 1719941979897 2611763747251 2765396908854 3439883959794 4148095363281 5223527494502 7835291241753 8296190726562 15670582483506 23505873725259 47011747450518 70517621175777 141035242351554