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4000131120 = 243561273233
BaseRepresentation
bin1110111001101101…
…0010100000110000
3101022202221201022110
43232123102200300
531143013143440
61500532405320
7201061360566
oct35633224060
911282851273
104000131120
111772a73797
12937776840
134b99692bb
1429d389a36
1518629e080
hexee6d2830

4000131120 has 80 divisors (see below), whose sum is σ = 12603737952. Its totient is φ = 1049210880.

The previous prime is 4000131119. The next prime is 4000131143. The reversal of 4000131120 is 211310004.

It is a happy number.

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

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 4000131096 and 4000131105.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 121977 + ... + 151256.

Almost surely, 24000131120 is an apocalyptic number.

4000131120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4000131120 is an abundant number, since it is smaller than the sum of its proper divisors (8603606832).

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

4000131120 is a wasteful number, since it uses less digits than its factorization.

4000131120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 273310 (or 273304 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 4000131120 is about 63246.5897894898. The cubic root of 4000131120 is about 1587.4183967808.

Adding to 4000131120 its reverse (211310004), we get a palindrome (4211441124).

The spelling of 4000131120 in words is "four billion, one hundred thirty-one thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 61 80 120 122 183 240 244 305 366 488 610 732 915 976 1220 1464 1830 2440 2928 3660 4880 7320 14640 273233 546466 819699 1092932 1366165 1639398 2185864 2732330 3278796 4098495 4371728 5464660 6557592 8196990 10929320 13115184 16393980 16667213 21858640 32787960 33334426 50001639 65575920 66668852 83336065 100003278 133337704 166672130 200006556 250008195 266675408 333344260 400013112 500016390 666688520 800026224 1000032780 1333377040 2000065560 4000131120