Search a number
-
+
141040544231532 = 2231122333131274759
BaseRepresentation
bin100000000100011010001111…
…100010011011000001101100
3200111101100022000210022220010
4200010122033202123001230
5121441302013310402112
61215545044225053220
741464562111233551
oct4004321742330154
9614340260708803
10141040544231532
1140a37a60332400
121399a728a87210
1360910b272c48a
1426b85822cca28
151148bc53dd63c
hex80468f89b06c

141040544231532 has 144 divisors (see below), whose sum is σ = 377573795504640. Its totient is φ = 40868945441280.

The previous prime is 141040544231491. The next prime is 141040544231549. The reversal of 141040544231532 is 235132445040141.

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 47 ways as a sum of consecutive naturals, for example, 110003569 + ... + 111278327.

It is an arithmetic number, because the mean of its divisors is an integer number (2622040246560).

Almost surely, 2141040544231532 is an apocalyptic number.

141040544231532 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 141040544231532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188786897752320).

141040544231532 is an abundant number, since it is smaller than the sum of its proper divisors (236533251273108).

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

141040544231532 is a wasteful number, since it uses less digits than its factorization.

141040544231532 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1278124 (or 1278111 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 39.

Adding to 141040544231532 its reverse (235132445040141), we get a palindrome (376172989271673).

The spelling of 141040544231532 in words is "one hundred forty-one trillion, forty billion, five hundred forty-four million, two hundred thirty-one thousand, five hundred thirty-two".

Divisors: 1 2 3 4 6 11 12 22 23 33 44 46 66 69 92 121 132 138 242 253 276 363 484 506 726 759 1012 1452 1518 2783 3036 3313 5566 6626 8349 9939 11132 13252 16698 19878 33396 36443 39756 72886 76199 109329 145772 152398 218658 228597 304796 400873 437316 457194 801746 838189 914388 1202619 1274759 1603492 1676378 2405238 2514567 2549518 3352756 3824277 4810476 5029134 5099036 7648554 9220079 10058268 14022349 15297108 18440158 27660237 28044698 29319457 36880316 42067047 55320474 56089396 58638914 84134094 87958371 110640948 117277828 154245839 168268188 175916742 308491678 322514027 351833484 462737517 616983356 645028054 925475034 967542081 1290056108 1850950068 1935084162 3547654297 3870168324 4223276567 7095308594 8446553134 10642962891 12669829701 14190617188 16893106268 21285925782 25339659402 42571851564 46456042237 50679318804 92912084474 97135361041 139368126711 185824168948 194270722082 278736253422 291406083123 388541444164 511016464607 557472506844 582812166246 1022032929214 1068488971451 1165624332492 1533049393821 2044065858428 2136977942902 3066098787642 3205466914353 4273955885804 6132197575284 6410933828706 11753378685961 12821867657412 23506757371922 35260136057883 47013514743844 70520272115766 141040544231532