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32402132414140 = 22541641292721061
BaseRepresentation
bin1110101111000001101011…
…00101111010111010111100
311020201121120022121211201111
413113200311211322322330
513221334031344223030
6152525200101251404
76552656022124156
oct727406545727274
9136647508554644
1032402132414140
11a362738031575
123773900703b64
13151067b03b568
148003b32c5ad6
153b2cc19bb62a
hex1d783597aebc

32402132414140 has 96 divisors (see below), whose sum is σ = 69840009485568. Its totient is φ = 12620095488000.

The previous prime is 32402132414131. The next prime is 32402132414149. The reversal of 32402132414140 is 4141423120423.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (32402132414131) and next prime (32402132414149).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32402132414149) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1538479210 + ... + 1538500270.

It is an arithmetic number, because the mean of its divisors is an integer number (727500098808).

Almost surely, 232402132414140 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 32402132414140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34920004742784).

32402132414140 is an abundant number, since it is smaller than the sum of its proper divisors (37437877071428).

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

32402132414140 is a wasteful number, since it uses less digits than its factorization.

32402132414140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24679 (or 24677 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 31.

Adding to 32402132414140 its reverse (4141423120423), we get a palindrome (36543555534563).

The spelling of 32402132414140 in words is "thirty-two trillion, four hundred two billion, one hundred thirty-two million, four hundred fourteen thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 41 82 164 205 410 641 820 1282 2564 2927 3205 5854 6410 11708 12820 14635 21061 26281 29270 42122 52562 58540 84244 105124 105305 120007 131405 210610 240014 262810 421220 480028 525620 600035 863501 1200070 1727002 1876207 2400140 3454004 3752414 4317505 7504828 8635010 9381035 13500101 17270020 18762070 27000202 37524140 54000404 61645547 67500505 76924487 123291094 135001010 153848974 246582188 270002020 307697948 308227735 384622435 553504141 616455470 769244870 1107008282 1232910940 1538489740 2214016564 2527467427 2767520705 5054934854 5535041410 10109869708 11070082820 12637337135 25274674270 39514795627 50549348540 79029591254 158059182508 197573978135 395147956270 790295912540 1620106620707 3240213241414 6480426482828 8100533103535 16201066207070 32402132414140