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1322223000040 = 235311373776627
BaseRepresentation
bin10011001111011010101…
…000011101100111101000
311200101212222211211020201
4103033122220131213220
5133130403042000130
62451230523401544
7164345630030065
oct23173250354750
94611788754221
101322223000040
1146a82a460028
121943099832b4
13978ba1c74c7
1447dd2bb7c6c
15245d9e02bca
hex133daa1d9e8

1322223000040 has 64 divisors (see below), whose sum is σ = 3073210191360. Its totient is φ = 511454818560.

The previous prime is 1322223000023. The next prime is 1322223000041. The reversal of 1322223000040 is 400003222231.

It is a junction number, because it is equal to n+sod(n) for n = 1322222999981 and 1322223000017.

It is not an unprimeable number, because it can be changed into a prime (1322223000041) 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, 1314207 + ... + 2090833.

It is an arithmetic number, because the mean of its divisors is an integer number (48018909240).

Almost surely, 21322223000040 is an apocalyptic number.

1322223000040 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 1322223000040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1536605095680).

1322223000040 is an abundant number, since it is smaller than the sum of its proper divisors (1750987191320).

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

1322223000040 is a wasteful number, since it uses less digits than its factorization.

1322223000040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 778042 (or 778038 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 19.

Adding to 1322223000040 its reverse (400003222231), we get a palindrome (1722226222271).

The spelling of 1322223000040 in words is "one trillion, three hundred twenty-two billion, two hundred twenty-three million, forty", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 20 31 40 62 124 155 248 310 620 1240 1373 2746 5492 6865 10984 13730 27460 42563 54920 85126 170252 212815 340504 425630 776627 851260 1553254 1702520 3106508 3883135 6213016 7766270 15532540 24075437 31065080 48150874 96301748 120377185 192603496 240754370 481508740 963017480 1066308871 2132617742 4265235484 5331544355 8530470968 10663088710 21326177420 33055575001 42652354840 66111150002 132222300004 165277875005 264444600008 330555750010 661111500020 1322223000040