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131401734440 = 23519202785297
BaseRepresentation
bin111101001100000100…
…1110101100100101000
3110120011121112201210012
41322120021311210220
54123102321000230
6140210511111052
712331154212454
oct1723011654450
9416147481705
10131401734440
11507aa942a49
1221572212488
13c51140c8b2
14650770d664
153640e4c395
hex1e98275928

131401734440 has 64 divisors (see below), whose sum is σ = 311371819200. Its totient is φ = 49769192448.

The previous prime is 131401734433. The next prime is 131401734467. The reversal of 131401734440 is 44437104131.

It is a super-2 number, since 2×1314017344402 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 131401734397 and 131401734406.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1497872 + ... + 1583168.

It is an arithmetic number, because the mean of its divisors is an integer number (4865184675).

Almost surely, 2131401734440 is an apocalyptic number.

131401734440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131401734440 is an abundant number, since it is smaller than the sum of its proper divisors (179970084760).

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

131401734440 is a wasteful number, since it uses less digits than its factorization.

131401734440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87354 (or 87350 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 32.

Adding to 131401734440 its reverse (44437104131), we get a palindrome (175838838571).

The spelling of 131401734440 in words is "one hundred thirty-one billion, four hundred one million, seven hundred thirty-four thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 19 20 38 40 76 95 152 190 380 760 2027 4054 8108 10135 16216 20270 38513 40540 77026 81080 85297 154052 170594 192565 308104 341188 385130 426485 682376 770260 852970 1540520 1620643 1705940 3241286 3411880 6482572 8103215 12965144 16206430 32412860 64825720 172897019 345794038 691588076 864485095 1383176152 1728970190 3285043361 3457940380 6570086722 6915880760 13140173444 16425216805 26280346888 32850433610 65700867220 131401734440