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10301141040 = 2435293114759
BaseRepresentation
bin10011001011111111…
…01111000000110000
3222120220102011222020
421211333233000300
5132044043003130
64422101111440
7513162153111
oct114577570060
928526364866
1010301141040
1144067a8803
121bb59b8580
13c821c7738
146da152208
15404544e10
hex265fef030

10301141040 has 160 divisors (see below), whose sum is σ = 33147878400. Its totient is φ = 2643164160.

The previous prime is 10301140999. The next prime is 10301141047. The reversal of 10301141040 is 4014110301.

It is a super-2 number, since 2×103011410402 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (10301141047) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2162181 + ... + 2166939.

It is an arithmetic number, because the mean of its divisors is an integer number (207174240).

Almost surely, 210301141040 is an apocalyptic number.

10301141040 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 10301141040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16573939200).

10301141040 is an abundant number, since it is smaller than the sum of its proper divisors (22846737360).

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

10301141040 is a wasteful number, since it uses less digits than its factorization.

10301141040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5115 (or 5109 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 10301141040 its reverse (4014110301), we get a palindrome (14315251341).

The spelling of 10301141040 in words is "ten billion, three hundred one million, one hundred forty-one thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 29 30 40 48 58 60 80 87 116 120 145 174 232 240 290 311 348 435 464 580 622 696 870 933 1160 1244 1392 1555 1740 1866 2320 2488 3110 3480 3732 4665 4759 4976 6220 6960 7464 9019 9330 9518 12440 14277 14928 18038 18660 19036 23795 24880 27057 28554 36076 37320 38072 45095 47590 54114 57108 71385 72152 74640 76144 90190 95180 108228 114216 135285 138011 142770 144304 180380 190360 216456 228432 270570 276022 285540 360760 380720 414033 432912 541140 552044 571080 690055 721520 828066 1082280 1104088 1142160 1380110 1480049 1656132 2070165 2164560 2208176 2760220 2960098 3312264 4140330 4440147 5520440 5920196 6624528 7400245 8280660 8880294 11040880 11840392 14800490 16561320 17760588 22200735 23680784 29600980 33122640 35521176 42921421 44401470 59201960 71042352 85842842 88802940 118403920 128764263 171685684 177605880 214607105 257528526 343371368 355211760 429214210 515057052 643821315 686742736 858428420 1030114104 1287642630 1716856840 2060228208 2575285260 3433713680 5150570520 10301141040