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1332404002240 = 265193169312743
BaseRepresentation
bin10011011000111001011…
…101111001110111000000
311201101011112012022201021
4103120321131321313000
5133312230411032430
62500033053515224
7165156133103203
oct23307135716700
94641145168637
101332404002240
11474084361733
1219628b4a2b14
1398850549a6c
14486badb593a
15249d3b1607a
hex13639779dc0

1332404002240 has 112 divisors (see below), whose sum is σ = 3191360534208. Its totient is φ = 529845387264.

The previous prime is 1332404002201. The next prime is 1332404002249. The reversal of 1332404002240 is 422004042331.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1332404002249) 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, 104553309 + ... + 104566051.

It is an arithmetic number, because the mean of its divisors is an integer number (28494290484).

Almost surely, 21332404002240 is an apocalyptic number.

1332404002240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1332404002240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1595680267104).

1332404002240 is an abundant number, since it is smaller than the sum of its proper divisors (1858956531968).

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

1332404002240 is a wasteful number, since it uses less digits than its factorization.

1332404002240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14646 (or 14636 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 25.

Adding to 1332404002240 its reverse (422004042331), we get a palindrome (1754408044571).

The spelling of 1332404002240 in words is "one trillion, three hundred thirty-two billion, four hundred four million, two thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 160 193 320 386 772 965 1544 1693 1930 3088 3386 3860 6176 6772 7720 8465 12352 12743 13544 15440 16930 25486 27088 30880 33860 50972 54176 61760 63715 67720 101944 108352 127430 135440 203888 254860 270880 326749 407776 509720 541760 653498 815552 1019440 1306996 1633745 2038880 2459399 2613992 3267490 4077760 4918798 5227984 6534980 9837596 10455968 12296995 13069960 19675192 20911936 21573899 24593990 26139920 39350384 43147798 49187980 52279840 78700768 86295596 98375960 104559680 107869495 157401536 172591192 196751920 215738990 345182384 393503840 431477980 690364768 787007680 862955960 1380729536 1725911920 3451823840 4163762507 6903647680 8327525014 16655050028 20818812535 33310100056 41637625070 66620200112 83275250140 133240400224 166550500280 266480800448 333101000560 666202001120 1332404002240