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32141542020240 = 2435200216689131
BaseRepresentation
bin1110100111011100010010…
…01100011101010010010000
311012210200221022211020022010
413103232021030131102100
513203101334224121430
6152205342012542520
76525102242252352
oct723561114352220
9135720838736263
1032141542020240
11a2721735a6674
1237312b5481a40
1314c1c1bb7ab03
147d19321890d2
153ab11e072cb0
hex1d3b8931d490

32141542020240 has 80 divisors (see below), whose sum is σ = 99643771872576. Its totient is φ = 8570648486400.

The previous prime is 32141542020223. The next prime is 32141542020257. The reversal of 32141542020240 is 4202024514123.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (32141542020223) and next prime (32141542020257).

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 32141542020198 and 32141542020207.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1460475 + ... + 8149605.

Almost surely, 232141542020240 is an apocalyptic number.

32141542020240 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

32141542020240 is an abundant number, since it is smaller than the sum of its proper divisors (67502229852336).

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

32141542020240 is a wasteful number, since it uses less digits than its factorization.

32141542020240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6709168 (or 6709162 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 30.

Adding to 32141542020240 its reverse (4202024514123), we get a palindrome (36343566534363).

The spelling of 32141542020240 in words is "thirty-two trillion, one hundred forty-one billion, five hundred forty-two million, twenty thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 20021 40042 60063 80084 100105 120126 160168 200210 240252 300315 320336 400420 480504 600630 800840 961008 1201260 1601680 2402520 4805040 6689131 13378262 20067393 26756524 33445655 40134786 53513048 66891310 80269572 100336965 107026096 133782620 160539144 200673930 267565240 321078288 401347860 535130480 802695720 1605391440 133923091751 267846183502 401769275253 535692367004 669615458755 803538550506 1071384734008 1339230917510 1607077101012 2008846376265 2142769468016 2678461835020 3214154202024 4017692752530 5356923670040 6428308404048 8035385505060 10713847340080 16070771010120 32141542020240