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332130235440 = 24357119491211
BaseRepresentation
bin1001101010101001000…
…00010011010000110000
31011202021201122002210010
410311110200103100300
520420200320013230
6412324543334520
732665332264213
oct4652440232060
91152251562703
10332130235440
1111894594a793
12544518b1440
1325420639a43
141210a46777a
15898d3239b0
hex4d54813430

332130235440 has 80 divisors (see below), whose sum is σ = 1044105244416. Its totient is φ = 87320620800.

The previous prime is 332130235427. The next prime is 332130235477. The reversal of 332130235440 is 44532031233.

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

It is a super-2 number, since 2×3321302354402 (a number of 24 digits) contains 22 as substring.

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 = 332130235398 and 332130235407.

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, 9728566 + ... + 9762645.

Almost surely, 2332130235440 is an apocalyptic number.

332130235440 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

332130235440 is an abundant number, since it is smaller than the sum of its proper divisors (711975008976).

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

332130235440 is a wasteful number, since it uses less digits than its factorization.

332130235440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19491298 (or 19491292 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 30.

Adding to 332130235440 its reverse (44532031233), we get a palindrome (376662266673).

The spelling of 332130235440 in words is "three hundred thirty-two billion, one hundred thirty million, two hundred thirty-five thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 71 80 120 142 213 240 284 355 426 568 710 852 1065 1136 1420 1704 2130 2840 3408 4260 5680 8520 17040 19491211 38982422 58473633 77964844 97456055 116947266 155929688 194912110 233894532 292368165 311859376 389824220 467789064 584736330 779648440 935578128 1169472660 1383875981 1559296880 2338945320 2767751962 4151627943 4677890640 5535503924 6919379905 8303255886 11071007848 13838759810 16606511772 20758139715 22142015696 27677519620 33213023544 41516279430 55355039240 66426047088 83032558860 110710078480 166065117720 332130235440