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20144104120 = 2357294752783
BaseRepresentation
bin10010110000101011…
…101010001010111000
31220222212200111221101
4102300223222022320
5312223342312440
613130514021144
71312122026350
oct226053521270
956885614841
1020144104120
1185a7904638
123aa22777b4
131b904c104a
14d914b7b60
157cd73369a
hex4b0aea2b8

20144104120 has 128 divisors (see below), whose sum is σ = 54726451200. Its totient is φ = 6526388736.

The previous prime is 20144104109. The next prime is 20144104121. The reversal of 20144104120 is 2140144102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20144104121) 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, 355249 + ... + 408031.

It is an arithmetic number, because the mean of its divisors is an integer number (427550400).

Almost surely, 220144104120 is an apocalyptic number.

20144104120 is a gapful number since it is divisible by the number (20) 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 20144104120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27363225600).

20144104120 is an abundant number, since it is smaller than the sum of its proper divisors (34582347080).

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

20144104120 is a wasteful number, since it uses less digits than its factorization.

20144104120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52877 (or 52873 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 19.

Adding to 20144104120 its reverse (2140144102), we get a palindrome (22284248222).

The spelling of 20144104120 in words is "twenty billion, one hundred forty-four million, one hundred four thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 29 35 40 47 56 58 70 94 116 140 145 188 203 232 235 280 290 329 376 406 470 580 658 812 940 1015 1160 1316 1363 1624 1645 1880 2030 2632 2726 3290 4060 5452 6580 6815 8120 9541 10904 13160 13630 19082 27260 38164 47705 52783 54520 76328 95410 105566 190820 211132 263915 369481 381640 422264 527830 738962 1055660 1477924 1530707 1847405 2111320 2480801 2955848 3061414 3694810 4961602 6122828 7389620 7653535 9923204 10714949 12245656 12404005 14779240 15307070 17365607 19846408 21429898 24808010 30614140 34731214 42859796 49616020 53574745 61228280 69462428 71943229 85719592 86828035 99232040 107149490 138924856 143886458 173656070 214298980 287772916 347312140 359716145 428597960 503602603 575545832 694624280 719432290 1007205206 1438864580 2014410412 2518013015 2877729160 4028820824 5036026030 10072052060 20144104120