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1520053122040 = 235617936721487
BaseRepresentation
bin10110000111101010001…
…110011111001111111000
312101022112010010021201021
4112013222032133033320
5144401032044401130
63122145221432224
7214551222232135
oct26075216371770
95338463107637
101520053122040
115367183a5822
1220671a86b674
13b0456b006ab
14537dca1d58c
1529817b0a37a
hex161ea39f3f8

1520053122040 has 128 divisors (see below), whose sum is σ = 3529945497600. Its totient is φ = 588847034880.

The previous prime is 1520053121957. The next prime is 1520053122073. The reversal of 1520053122040 is 402213500251.

It is a super-2 number, since 2×15200531220402 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1520053121996 and 1520053122014.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 70732177 + ... + 70753663.

It is an arithmetic number, because the mean of its divisors is an integer number (27577699200).

Almost surely, 21520053122040 is an apocalyptic number.

1520053122040 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 1520053122040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1764972748800).

1520053122040 is an abundant number, since it is smaller than the sum of its proper divisors (2009892375560).

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

1520053122040 is a wasteful number, since it uses less digits than its factorization.

1520053122040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22005 (or 22001 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 25.

Adding to 1520053122040 its reverse (402213500251), we get a palindrome (1922266622291).

The spelling of 1520053122040 in words is "one trillion, five hundred twenty billion, fifty-three million, one hundred twenty-two thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 61 79 122 158 244 305 316 367 395 488 610 632 734 790 1220 1468 1580 1835 2440 2936 3160 3670 4819 7340 9638 14680 19276 21487 22387 24095 28993 38552 42974 44774 48190 57986 85948 89548 96380 107435 111935 115972 144965 171896 179096 192760 214870 223870 231944 289930 429740 447740 579860 859480 895480 1159720 1310707 1697473 1768573 2621414 3394946 3537146 5242828 6553535 6789892 7074292 7885729 8487365 8842865 10485656 13107070 13579784 14148584 15771458 16974730 17685730 26214140 31542916 33949460 35371460 39428645 52428280 63085832 67898920 70742920 78857290 103545853 157714580 207091706 315429160 414183412 481029469 517729265 622972591 828366824 962058938 1035458530 1245945182 1924117876 2070917060 2405147345 2491890364 3114862955 3848235752 4141834120 4810294690 4983780728 6229725910 9620589380 12459451820 19241178760 24918903640 38001328051 76002656102 152005312204 190006640255 304010624408 380013280510 760026561020 1520053122040