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132032034242240 = 2651147798065971
BaseRepresentation
bin11110000001010100011010…
…011111111111111011000000
3122022111010202110221020212012
4132001110122133333323000
5114301203101231222430
61144450402411552052
736544666614605006
oct3601243237777300
9568433673836765
10132032034242240
1139084520297380
121298483915b628
13588974b787882
142486555306a76
15103e6c9a78695
hex78151a7ffec0

132032034242240 has 112 divisors (see below), whose sum is σ = 350280731902464. Its totient is φ = 46990124313600.

The previous prime is 132032034242131. The next prime is 132032034242249. The reversal of 132032034242240 is 42242430230231.

It is a super-3 number, since 3×1320320342422403 (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 (32).

It is a junction number, because it is equal to n+sod(n) for n = 132032034242197 and 132032034242206.

It is not an unprimeable number, because it can be changed into a prime (132032034242249) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 398867546 + ... + 399198425.

Almost surely, 2132032034242240 is an apocalyptic number.

132032034242240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132032034242240 is an abundant number, since it is smaller than the sum of its proper divisors (218248697660224).

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

132032034242240 is a wasteful number, since it uses less digits than its factorization.

132032034242240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 798066046 (or 798066036 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 32.

Adding to 132032034242240 its reverse (42242430230231), we get a palindrome (174274464472471).

The spelling of 132032034242240 in words is "one hundred thirty-two trillion, thirty-two billion, thirty-four million, two hundred forty-two thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 47 55 64 80 88 94 110 160 176 188 220 235 320 352 376 440 470 517 704 752 880 940 1034 1504 1760 1880 2068 2585 3008 3520 3760 4136 5170 7520 8272 10340 15040 16544 20680 33088 41360 82720 165440 798065971 1596131942 3192263884 3990329855 6384527768 7980659710 8778725681 12769055536 15961319420 17557451362 25538111072 31922638840 35114902724 37509100637 43893628405 51076222144 63845277680 70229805448 75018201274 87787256810 127690555360 140459610896 150036402548 175574513620 187545503185 255381110720 280919221792 300072805096 351149027240 375091006370 412600107007 561838443584 600145610192 702298054480 750182012740 825200214014 1200291220384 1404596108960 1500364025480 1650400428028 2063000535035 2400582440768 2809192217920 3000728050960 3300800856056 4126001070070 6001456101920 6601601712112 8252002140140 12002912203840 13203203424224 16504004280280 26406406848448 33008008560560 66016017121120 132032034242240