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1013411140 = 2257217591031
BaseRepresentation
bin111100011001110…
…110110101000100
32121121220121201221
4330121312311010
54033413124030
6244320530124
734053565300
oct7431666504
92547817657
101013411140
11480053875
12243480944
13131c54581
149883cd00
155de7ee7a
hex3c676d44

1013411140 has 144 divisors (see below), whose sum is σ = 2668256640. Its totient is φ = 321162240.

The previous prime is 1013411137. The next prime is 1013411141. The reversal of 1013411140 is 411143101.

It is not an unprimeable number, because it can be changed into a prime (1013411141) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 982425 + ... + 983455.

It is an arithmetic number, because the mean of its divisors is an integer number (18529560).

Almost surely, 21013411140 is an apocalyptic number.

1013411140 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 1013411140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1334128320).

1013411140 is an abundant number, since it is smaller than the sum of its proper divisors (1654845500).

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

1013411140 is a wasteful number, since it uses less digits than its factorization.

1013411140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1130 (or 1121 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 16.

The square root of 1013411140 is about 31834.1191177014. The cubic root of 1013411140 is about 1004.4505432800.

Adding to 1013411140 its reverse (411143101), we get a palindrome (1424554241).

The spelling of 1013411140 in words is "one billion, thirteen million, four hundred eleven thousand, one hundred forty".

Divisors: 1 2 4 5 7 10 14 17 20 28 34 35 49 59 68 70 85 98 118 119 140 170 196 236 238 245 295 340 413 476 490 590 595 826 833 980 1003 1031 1180 1190 1652 1666 2006 2062 2065 2380 2891 3332 4012 4124 4130 4165 5015 5155 5782 7021 7217 8260 8330 10030 10310 11564 14042 14434 14455 16660 17527 20060 20620 28084 28868 28910 35054 35105 36085 49147 50519 57820 60829 70108 70210 72170 87635 98294 101038 121658 122689 140420 144340 175270 196588 202076 243316 245378 245735 252595 304145 350540 425803 490756 491470 505190 608290 613445 851606 858823 982940 1010380 1034093 1216580 1226890 1703212 1717646 2068186 2129015 2453780 2980621 3435292 4136372 4258030 4294115 5170465 5961242 7238651 8516060 8588230 10340930 11922484 14477302 14903105 17176460 20681860 28954604 29806210 36193255 50670557 59612420 72386510 101341114 144773020 202682228 253352785 506705570 1013411140