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40051351120 = 2451167679297
BaseRepresentation
bin100101010011001111…
…110001111001010000
310211101020200102222211
4211103033301321100
51124011121213440
630222131241504
72615336603344
oct452317617120
9124336612884
1040051351120
1115a92a41990
127919149294
133a138c1941
141d1d337624
15109627beea
hex9533f1e50

40051351120 has 80 divisors (see below), whose sum is σ = 103101133248. Its totient is φ = 14346731520.

The previous prime is 40051351111. The next prime is 40051351121. The reversal of 40051351120 is 2115315004.

It is a happy number.

40051351120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×400513511202 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 40051351091 and 40051351100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40051351121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 280689 + ... + 398608.

Almost surely, 240051351120 is an apocalyptic number.

40051351120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

40051351120 is an abundant number, since it is smaller than the sum of its proper divisors (63049782128).

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

40051351120 is a wasteful number, since it uses less digits than its factorization.

40051351120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 679388 (or 679382 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 22.

Adding to 40051351120 its reverse (2115315004), we get a palindrome (42166666124).

The spelling of 40051351120 in words is "forty billion, fifty-one million, three hundred fifty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 67 80 88 110 134 176 220 268 335 440 536 670 737 880 1072 1340 1474 2680 2948 3685 5360 5896 7370 11792 14740 29480 58960 679297 1358594 2717188 3396485 5434376 6792970 7472267 10868752 13585940 14944534 27171880 29889068 37361335 45512899 54343760 59778136 74722670 91025798 119556272 149445340 182051596 227564495 298890680 364103192 455128990 500641889 597781360 728206384 910257980 1001283778 1820515960 2002567556 2503209445 3641031920 4005135112 5006418890 8010270224 10012837780 20025675560 40051351120