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1432244121440 = 255111751946451
BaseRepresentation
bin10100110101111000011…
…001101110111101100000
312001220212112222212201212
4110311320121232331200
5141431213443341230
63013544110045252
7205322226110006
oct24657031567540
95056775885655
101432244121440
11502458516a40
121b16b37a9828
13a50a1bab082
144d46cad8a76
15273c8cbd895
hex14d7866ef60

1432244121440 has 96 divisors (see below), whose sum is σ = 3691573885440. Its totient is φ = 520775104000.

The previous prime is 1432244121439. The next prime is 1432244121467. The reversal of 1432244121440 is 441214422341.

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 = 1432244121397 and 1432244121406.

It is a congruent number.

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, 30810215 + ... + 30856665.

It is an arithmetic number, because the mean of its divisors is an integer number (38453894640).

Almost surely, 21432244121440 is an apocalyptic number.

1432244121440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1432244121440 is an abundant number, since it is smaller than the sum of its proper divisors (2259329764000).

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

1432244121440 is a wasteful number, since it uses less digits than its factorization.

1432244121440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63996 (or 63988 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 32.

Adding to 1432244121440 its reverse (441214422341), we get a palindrome (1873458543781).

The spelling of 1432244121440 in words is "one trillion, four hundred thirty-two billion, two hundred forty-four million, one hundred twenty-one thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 80 88 110 160 176 220 352 440 880 1760 17519 35038 46451 70076 87595 92902 140152 175190 185804 192709 232255 280304 350380 371608 385418 464510 510961 560608 700760 743216 770836 929020 963545 1021922 1401520 1486432 1541672 1858040 1927090 2043844 2554805 2803040 3083344 3716080 3854180 4087688 5109610 6166688 7432160 7708360 8175376 10219220 15416720 16350752 20438440 30833440 40876880 81753760 813775069 1627550138 3255100276 4068875345 6510200552 8137750690 8951525759 13020401104 16275501380 17903051518 26040802208 32551002760 35806103036 44757628795 65102005520 71612206072 89515257590 130204011040 143224412144 179030515180 286448824288 358061030360 716122060720 1432244121440