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1322031145440 = 25352754231553
BaseRepresentation
bin10011001111001111001…
…100100110000111100000
311200101101121211121012210
4103033033030212013200
5133130004433123230
62451155511322120
7164341110216165
oct23171714460740
94611347747183
101322031145440
1146a741130905
12194275680340
1397889532885
1447db551606c
15245c8156eb0
hex133cf3261e0

1322031145440 has 48 divisors (see below), whose sum is σ = 4164398109648. Its totient is φ = 352541638656.

The previous prime is 1322031145427. The next prime is 1322031145511. The reversal of 1322031145440 is 445411302231.

It is a tau number, because it is divible by the number of its divisors (48).

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 = 1322031145398 and 1322031145407.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1377115297 + ... + 1377116256.

It is an arithmetic number, because the mean of its divisors is an integer number (86758293951).

Almost surely, 21322031145440 is an apocalyptic number.

1322031145440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1322031145440 is an abundant number, since it is smaller than the sum of its proper divisors (2842366964208).

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

1322031145440 is a wasteful number, since it uses less digits than its factorization.

1322031145440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2754231571 (or 2754231563 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

Adding to 1322031145440 its reverse (445411302231), we get a palindrome (1767442447671).

The spelling of 1322031145440 in words is "one trillion, three hundred twenty-two billion, thirty-one million, one hundred forty-five thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 2754231553 5508463106 8262694659 11016926212 13771157765 16525389318 22033852424 27542315530 33050778636 41313473295 44067704848 55084631060 66101557272 82626946590 88135409696 110169262120 132203114544 165253893180 220338524240 264406229088 330507786360 440677048480 661015572720 1322031145440