Search a number
-
+
132775623240 = 233513671270337
BaseRepresentation
bin111101110101000001…
…0110011101001001000
3110200201100202111220120
41323222002303221020
54133411024420430
6140555110223240
712410206114251
oct1735202635110
9420640674816
10132775623240
1151345417a37
1221896354b20
13c69cc48450
1465d7d85b28
1536c1885610
hex1eea0b3a48

132775623240 has 128 divisors (see below), whose sum is σ = 435370239360. Its totient is φ = 32195395584.

The previous prime is 132775623203. The next prime is 132775623241. The reversal of 132775623240 is 42326577231.

It is a super-2 number, since 2×1327756232402 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 132775623192 and 132775623201.

It is not an unprimeable number, because it can be changed into a prime (132775623241) 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, 530649 + ... + 739688.

It is an arithmetic number, because the mean of its divisors is an integer number (3401329995).

Almost surely, 2132775623240 is an apocalyptic number.

132775623240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132775623240 is an abundant number, since it is smaller than the sum of its proper divisors (302594616120).

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

132775623240 is a wasteful number, since it uses less digits than its factorization.

132775623240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1270431 (or 1270427 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 42.

The spelling of 132775623240 in words is "one hundred thirty-two billion, seven hundred seventy-five million, six hundred twenty-three thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 26 30 39 40 52 60 65 67 78 104 120 130 134 156 195 201 260 268 312 335 390 402 520 536 670 780 804 871 1005 1340 1560 1608 1742 2010 2613 2680 3484 4020 4355 5226 6968 8040 8710 10452 13065 17420 20904 26130 34840 52260 104520 1270337 2540674 3811011 5081348 6351685 7622022 10162696 12703370 15244044 16514381 19055055 25406740 30488088 33028762 38110110 49543143 50813480 66057524 76220220 82571905 85112579 99086286 132115048 152440440 165143810 170225158 198172572 247715715 255337737 330287620 340450316 396345144 425562895 495431430 510675474 660575240 680900632 851125790 990862860 1021350948 1106463527 1276688685 1702251580 1981725720 2042701896 2212927054 2553377370 3319390581 3404503160 4425854108 5106754740 5532317635 6638781162 8851708216 10213509480 11064635270 13277562324 16596952905 22129270540 26555124648 33193905810 44258541080 66387811620 132775623240