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32142041131004 = 22719314345324359
BaseRepresentation
bin1110100111011101001101…
…11100011010011111111100
311012210202020002222200112222
413103232212330122133330
513203103400012143004
6152205503322344512
76525120512523650
oct723564674323774
9135722202880488
1032142041131004
11a2723aa305a02
12373141465b138
1314c1c9b3b121c
147d197c58ca60
153ab14ccb27be
hex1d3ba6f1a7fc

32142041131004 has 96 divisors (see below), whose sum is σ = 71474702745600. Its totient is φ = 12335477273280.

The previous prime is 32142041131003. The next prime is 32142041131033. The reversal of 32142041131004 is 40013114024123.

It is a super-2 number, since 2×321420411310042 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32142041131003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21953024 + ... + 23371335.

It is an arithmetic number, because the mean of its divisors is an integer number (744528153600).

Almost surely, 232142041131004 is an apocalyptic number.

It is an amenable number.

32142041131004 is an abundant number, since it is smaller than the sum of its proper divisors (39332661614596).

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

32142041131004 is a wasteful number, since it uses less digits than its factorization.

32142041131004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45324463 (or 45324461 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 26.

Adding to 32142041131004 its reverse (40013114024123), we get a palindrome (72155155155127).

The spelling of 32142041131004 in words is "thirty-two trillion, one hundred forty-two billion, forty-one million, one hundred thirty-one thousand, four".

Divisors: 1 2 4 7 14 19 28 31 38 43 62 76 86 124 133 172 217 266 301 434 532 589 602 817 868 1178 1204 1333 1634 2356 2666 3268 4123 5332 5719 8246 9331 11438 16492 18662 22876 25327 37324 50654 101308 177289 354578 709156 45324359 90648718 181297436 317270513 634541026 861162821 1269082052 1405055129 1722325642 1948947437 2810110258 3444651284 3897894874 5620220516 6028139747 7795789748 9835385903 12056279494 13642632059 19670771806 24112558988 26696047451 27285264118 37030001303 39341543612 53392094902 54570528236 60417370547 74060002606 106784189804 120834741094 148120005212 186872332157 241669482188 259210009121 373744664314 422921593829 518420018242 747489328628 845843187658 1036840036484 1147930040393 1691686375316 2295860080786 4591720161572 8035510282751 16071020565502 32142041131004