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3122140014 = 2327232311511
BaseRepresentation
bin1011101000011000…
…0001001101101110
322001120212010221100
42322012001031232
522343231440024
61233450143530
7140240516010
oct27206011556
98046763840
103122140014
111362404004
12731721ba6
133a9aaa536
1421891c1b0
1513416d7c9
hexba18136e

3122140014 has 144 divisors (see below), whose sum is σ = 8347981824. Its totient is φ = 825184800.

The previous prime is 3122140009. The next prime is 3122140019. The reversal of 3122140014 is 4100412213.

3122140014 is a `hidden beast` number, since 31 + 221 + 400 + 14 = 666.

It is an interprime number because it is at equal distance from previous prime (3122140009) and next prime (3122140019).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3122140019) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2065519 + ... + 2067029.

It is an arithmetic number, because the mean of its divisors is an integer number (57972096).

Almost surely, 23122140014 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3122140014, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4173990912).

3122140014 is an abundant number, since it is smaller than the sum of its proper divisors (5225841810).

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

3122140014 is a wasteful number, since it uses less digits than its factorization.

3122140014 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1603 (or 1577 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 3122140014 is about 55876.1130895842. The cubic root of 3122140014 is about 1461.5627249866.

Adding to 3122140014 its reverse (4100412213), we get a palindrome (7222552227).

The spelling of 3122140014 in words is "three billion, one hundred twenty-two million, one hundred forty thousand, fourteen".

Divisors: 1 2 3 6 7 9 14 18 21 23 31 42 46 62 63 69 93 126 138 161 186 207 217 279 322 414 434 483 529 558 651 713 966 1058 1302 1426 1449 1511 1587 1953 2139 2898 3022 3174 3703 3906 4278 4533 4761 4991 6417 7406 9066 9522 9982 10577 11109 12834 13599 14973 16399 21154 22218 27198 29946 31731 32798 33327 34753 44919 46841 49197 63462 66654 69506 89838 93682 95193 98394 104259 114793 140523 147591 190386 208518 229586 243271 281046 295182 312777 327887 344379 421569 486542 625554 655774 688758 729813 799319 843138 983661 1033137 1077343 1459626 1598638 1967322 2066274 2154686 2189439 2397957 2950983 3232029 4378878 4795914 5595233 5901966 6464058 7193871 7541401 9696087 11190466 14387742 15082802 16785699 19392174 22624203 24778889 33571398 45248406 49557778 50357097 67872609 74336667 100714194 135745218 148673334 173452223 223010001 346904446 446020002 520356669 1040713338 1561070007 3122140014