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131399979942 = 2371119131114269
BaseRepresentation
bin111101001100000001…
…1001001001110100110
3110120011111020121001210
41322120003021032212
54123101343324232
6140210405332250
712331133254350
oct1723003111646
9416144217053
10131399979942
11507a9954850
1221571707086
13c510c4712a
1465073b40d0
153640c025cc
hex1e980c93a6

131399979942 has 128 divisors (see below), whose sum is σ = 347527065600. Its totient is φ = 32086454400.

The previous prime is 131399979913. The next prime is 131399979943. The reversal of 131399979942 is 249979993131.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131399979943) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 1092784 + ... + 1207052.

It is an arithmetic number, because the mean of its divisors is an integer number (2715055200).

Almost surely, 2131399979942 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131399979942, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173763532800).

131399979942 is an abundant number, since it is smaller than the sum of its proper divisors (216127085658).

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

131399979942 is a wasteful number, since it uses less digits than its factorization.

131399979942 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114442.

The product of its digits is 29760696, while the sum is 66.

The spelling of 131399979942 in words is "one hundred thirty-one billion, three hundred ninety-nine million, nine hundred seventy-nine thousand, nine hundred forty-two".

Divisors: 1 2 3 6 7 11 14 19 21 22 33 38 42 57 66 77 114 131 133 154 209 231 262 266 393 399 418 462 627 786 798 917 1254 1441 1463 1834 2489 2751 2882 2926 4323 4389 4978 5502 7467 8646 8778 10087 14934 17423 20174 27379 30261 34846 52269 54758 60522 82137 104538 114269 164274 191653 228538 342807 383306 574959 685614 799883 1149918 1256959 1599766 2171111 2399649 2513918 3770877 4342222 4799298 6513333 7541754 8798713 13026666 14969239 15197777 17597426 23882221 26396139 29938478 30395554 44907717 45593331 47764442 52792278 71646663 89815434 91186662 104784673 143293326 164661629 167175547 209569346 284415541 314354019 329323258 334351094 493984887 501526641 568831082 628708038 853246623 987969774 1003053282 1152631403 1706493246 1990908787 2305262806 3128570951 3457894209 3981817574 5972726361 6257141902 6915788418 9385712853 11945452722 18771425706 21899996657 43799993314 65699989971 131399979942