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132040032031320 = 23357374248392279
BaseRepresentation
bin11110000001011011110111…
…001101001001001001011000
3122022111220101212012000221120
4132001123313031021021120
5114301320441200000240
61144454204152205240
736545402040646230
oct3601336715111130
9568456355160846
10132040032031320
1139087954894716
12129862ab699820
13588a42470554a
142486ab3596cc0
15103e9e6c88ad0
hex7816f7349258

132040032031320 has 128 divisors (see below), whose sum is σ = 464944051123200. Its totient is φ = 29364887425536.

The previous prime is 132040032031301. The next prime is 132040032031333. The reversal of 132040032031320 is 23130230040231.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2124165060 + ... + 2124227219.

It is an arithmetic number, because the mean of its divisors is an integer number (3632375399400).

Almost surely, 2132040032031320 is an apocalyptic number.

132040032031320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132040032031320 is an abundant number, since it is smaller than the sum of its proper divisors (332904019091880).

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

132040032031320 is a wasteful number, since it uses less digits than its factorization.

132040032031320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4248392337 (or 4248392333 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 132040032031320 its reverse (23130230040231), we get a palindrome (155170262071551).

The spelling of 132040032031320 in words is "one hundred thirty-two trillion, forty billion, thirty-two million, thirty-one thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 37 40 42 56 60 70 74 84 105 111 120 140 148 168 185 210 222 259 280 296 370 420 444 518 555 740 777 840 888 1036 1110 1295 1480 1554 2072 2220 2590 3108 3885 4440 5180 6216 7770 10360 15540 31080 4248392279 8496784558 12745176837 16993569116 21241961395 25490353674 29738745953 33987138232 42483922790 50980707348 59477491906 63725884185 84967845580 89216237859 101961414696 118954983812 127451768370 148693729765 157190514323 169935691160 178432475718 237909967624 254903536740 297387459530 314381028646 356864951436 446081189295 471571542969 509807073480 594774919060 628762057292 713729902872 785952571615 892162378590 943143085938 1100333600261 1189549838120 1257524114584 1571905143230 1784324757180 1886286171876 2200667200522 2357857714845 3143810286460 3301000800783 3568649514360 3772572343752 4401334401044 4715715429690 5501668001305 6287620572920 6602001601566 8802668802088 9431430859380 11003336002610 13204003203132 16505004003915 18862861718760 22006672005220 26408006406264 33010008007830 44013344010440 66020016015660 132040032031320