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31442302022145 = 357358431045907
BaseRepresentation
bin1110010011000101110110…
…01111100011001000000001
311010022212002002101221011220
413021202323033203020001
513110122313304202040
6150512221045025253
76423426361323000
oct711427317431001
9133285062357156
1031442302022145
11a022672879723
12363988b3b5229
131470cc4ccb051
147a9b5bb9ac37
15397d46a912d0
hex1c98bb3e3201

31442302022145 has 64 divisors (see below), whose sum is σ = 58677948979200. Its totient is φ = 14371150067904.

The previous prime is 31442302022099. The next prime is 31442302022191. The reversal of 31442302022145 is 54122020324413.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (31442302022099) and next prime (31442302022191).

It is not a de Polignac number, because 31442302022145 - 213 = 31442302013953 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 29539282 + ... + 30585188.

It is an arithmetic number, because the mean of its divisors is an integer number (916842952800).

Almost surely, 231442302022145 is an apocalyptic number.

31442302022145 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

31442302022145 is a deficient number, since it is larger than the sum of its proper divisors (27235646957055).

31442302022145 is a wasteful number, since it uses less digits than its factorization.

31442302022145 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1051779 (or 1051765 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 33.

Adding to 31442302022145 its reverse (54122020324413), we get a palindrome (85564322346558).

The spelling of 31442302022145 in words is "thirty-one trillion, four hundred forty-two billion, three hundred two million, twenty-two thousand, one hundred forty-five".

Divisors: 1 3 5 7 15 21 35 49 105 147 245 343 735 1029 1715 5145 5843 17529 29215 40901 87645 122703 204505 286307 613515 858921 1045907 1431535 2004149 3137721 4294605 5229535 6012447 7321349 10020745 15688605 21964047 30062235 36606745 51249443 109820235 153748329 256247215 358746101 768741645 1076238303 1793730505 5381191515 6111234601 18333703803 30556173005 42778642207 91668519015 128335926621 213893211035 299450495449 641679633105 898351486347 1497252477245 2096153468143 4491757431735 6288460404429 10480767340715 31442302022145