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20144131040 = 2551111445529
BaseRepresentation
bin10010110000101011…
…110000101111100000
31220222212201212212102
4102300223300233200
5312223344143130
613130514345532
71312122201005
oct226053605740
956885655772
1020144131040
1185a7922890
123aa228b2a8
131b90500387
14d914c38ac
157cd73b645
hex4b0af0be0

20144131040 has 48 divisors (see below), whose sum is σ = 51916924080. Its totient is φ = 7325137920.

The previous prime is 20144130989. The next prime is 20144131057. The reversal of 20144131040 is 4013144102.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5721005 + ... + 5724524.

It is an arithmetic number, because the mean of its divisors is an integer number (1081602585).

Almost surely, 220144131040 is an apocalyptic number.

20144131040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20144131040 is an abundant number, since it is smaller than the sum of its proper divisors (31772793040).

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

20144131040 is a wasteful number, since it uses less digits than its factorization.

20144131040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11445555 (or 11445547 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 20144131040 its reverse (4013144102), we get a palindrome (24157275142).

The spelling of 20144131040 in words is "twenty billion, one hundred forty-four million, one hundred thirty-one thousand, forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 80 88 110 160 176 220 352 440 880 1760 11445529 22891058 45782116 57227645 91564232 114455290 125900819 183128464 228910580 251801638 366256928 457821160 503603276 629504095 915642320 1007206552 1259008190 1831284640 2014413104 2518016380 4028826208 5036032760 10072065520 20144131040