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141132342010023 = 33713173544361001
BaseRepresentation
bin100000000101101111101111…
…000111001010000010100111
3200111201010020120111122111000
4200011233233013022002213
5121444303014023310043
61220055145230044343
741504322000413040
oct4005575707120247
9614633216448430
10141132342010023
1140a72987830041
12139b44879496b3
136099951b445c0
1426bcbadc858c7
15114b2994d52d3
hex805bef1ca0a7

141132342010023 has 128 divisors (see below), whose sum is σ = 258874607093760. Its totient is φ = 73998313344000.

The previous prime is 141132342010003. The next prime is 141132342010039. The reversal of 141132342010023 is 320010243231141.

141132342010023 is a `hidden beast` number, since 1 + 4 + 1 + 132 + 3 + 420 + 100 + 2 + 3 = 666.

It is not a de Polignac number, because 141132342010023 - 28 = 141132342009767 is a prime.

It is a super-3 number, since 3×1411323420100233 (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (141132342010003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2313576523 + ... + 2313637523.

It is an arithmetic number, because the mean of its divisors is an integer number (2022457867920).

Almost surely, 2141132342010023 is an apocalyptic number.

141132342010023 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

141132342010023 is a deficient number, since it is larger than the sum of its proper divisors (117742265083737).

141132342010023 is a wasteful number, since it uses less digits than its factorization.

141132342010023 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66646 (or 66640 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 141132342010023 its reverse (320010243231141), we get a palindrome (461142585241164).

The spelling of 141132342010023 in words is "one hundred forty-one trillion, one hundred thirty-two billion, three hundred forty-two million, ten thousand, twenty-three".

Divisors: 1 3 7 9 13 21 27 39 63 91 117 173 189 273 351 519 819 1211 1557 2249 2457 3633 4671 5443 6747 10899 15743 16329 20241 32697 38101 47229 48987 60723 61001 70759 114303 141687 146961 183003 212277 342909 425061 427007 495313 549009 636831 793013 941639 1028727 1281021 1485939 1647027 1910493 2379039 2824917 3843063 4457817 5551091 6591473 7137117 8474751 10553173 11529189 12241307 13373451 16653273 19774419 21411351 25424253 31659519 36723921 49959819 59323257 73872211 85689149 94978557 110171763 137191249 149879457 177969771 221616633 257067447 284935671 330515289 332028443 411573747 664849899 771202341 960338743 996085329 1234721241 1994549697 2313607023 2324199101 2881016229 2988255987 3704163723 4316369759 6972597303 8643048687 8964767961 12949109277 20917791909 25929146061 30214588313 38847327831 57440920639 62753375727 90643764939 116541983493 172322761917 271931294817 402086444473 516968285751 746731968307 815793884451 1206259333419 1550904857253 2240195904921 3618778000257 5227123778149 6720587714763 10856334000771 15681371334447 20161763144289 47044114003341 141132342010023