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153140122304 = 2613743247729
BaseRepresentation
bin1000111010011111011…
…1001101001011000000
3112122021121011020212122
42032213313031023000
510002112332403204
6154203540143412
714030645363531
oct2164767151300
9478247136778
10153140122304
1159a45674554
122581a397b68
1311596cb48b0
1475aa830688
153eb46010be
hex23a7dcd2c0

153140122304 has 56 divisors (see below), whose sum is σ = 327705171360. Its totient is φ = 70584643584.

The previous prime is 153140122297. The next prime is 153140122309. The reversal of 153140122304 is 403221041351.

It is a happy number.

153140122304 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is not an unprimeable number, because it can be changed into a prime (153140122309) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 494312 + ... + 742040.

It is an arithmetic number, because the mean of its divisors is an integer number (5851878060).

Almost surely, 2153140122304 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 153140122304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163852585680).

153140122304 is an abundant number, since it is smaller than the sum of its proper divisors (174565049056).

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

153140122304 is a wasteful number, since it uses less digits than its factorization.

153140122304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 248497 (or 248487 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 26.

Adding to 153140122304 its reverse (403221041351), we get a palindrome (556361163655).

The spelling of 153140122304 in words is "one hundred fifty-three billion, one hundred forty million, one hundred twenty-two thousand, three hundred four".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 208 416 743 832 1486 2972 5944 9659 11888 19318 23776 38636 47552 77272 154544 247729 309088 495458 618176 990916 1981832 3220477 3963664 6440954 7927328 12881908 15854656 25763816 51527632 103055264 184062647 206110528 368125294 736250588 1472501176 2392814411 2945002352 4785628822 5890004704 9571257644 11780009408 19142515288 38285030576 76570061152 153140122304