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131434122440 = 23567128938047
BaseRepresentation
bin111101001101000010…
…1011000110011001000
3110120020212111012202202
41322122011120303020
54123134113404230
6140214025215332
712332026415225
oct1723205306310
9416225435682
10131434122440
1150817154595
1221581031548
13c51803c7aa
14650bb4094c
153643be8a45
hex1e9a158cc8

131434122440 has 64 divisors (see below), whose sum is σ = 300381350400. Its totient is φ = 51747429888.

The previous prime is 131434122419. The next prime is 131434122461. The reversal of 131434122440 is 44221434131.

It is an interprime number because it is at equal distance from previous prime (131434122419) and next prime (131434122461).

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, 3435497 + ... + 3473543.

It is an arithmetic number, because the mean of its divisors is an integer number (4693458600).

Almost surely, 2131434122440 is an apocalyptic number.

131434122440 is a gapful number since it is divisible by the number (10) 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 131434122440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150190675200).

131434122440 is an abundant number, since it is smaller than the sum of its proper divisors (168947227960).

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

131434122440 is a wasteful number, since it uses less digits than its factorization.

131434122440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39414 (or 39410 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 29.

Adding to 131434122440 its reverse (44221434131), we get a palindrome (175655556571).

The spelling of 131434122440 in words is "one hundred thirty-one billion, four hundred thirty-four million, one hundred twenty-two thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 40 67 134 268 335 536 670 1289 1340 2578 2680 5156 6445 10312 12890 25780 38047 51560 76094 86363 152188 172726 190235 304376 345452 380470 431815 690904 760940 863630 1521880 1727260 2549149 3454520 5098298 10196596 12745745 20393192 25491490 49042583 50982980 98085166 101965960 196170332 245212915 392340664 490425830 980851660 1961703320 3285853061 6571706122 13143412244 16429265305 26286824488 32858530610 65717061220 131434122440