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131345421014984 = 2311411571223189593
BaseRepresentation
bin11101110111010100111101…
…001010011001011111001000
3122020001111111020000101001012
4131313110331022121133020
5114203430410234434414
61143203130423343052
736444251655510311
oct3567247512313710
9566044436011035
10131345421014984
113893a309aa4230
12128937578b1a88
135839a8787c447
14246121bc8b608
15102b8e0d7233e
hex77753d2997c8

131345421014984 has 128 divisors (see below), whose sum is σ = 277194679130880. Its totient is φ = 57827683430400.

The previous prime is 131345421014923. The next prime is 131345421015001. The reversal of 131345421014984 is 489410124543131.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 692680892 + ... + 692870484.

It is an arithmetic number, because the mean of its divisors is an integer number (2165583430710).

Almost surely, 2131345421014984 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131345421014984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138597339565440).

131345421014984 is an abundant number, since it is smaller than the sum of its proper divisors (145849258115896).

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

131345421014984 is a wasteful number, since it uses less digits than its factorization.

131345421014984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191031 (or 191027 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 50.

The spelling of 131345421014984 in words is "one hundred thirty-one trillion, three hundred forty-five billion, four hundred twenty-one million, fourteen thousand, nine hundred eighty-four".

Divisors: 1 2 4 8 11 22 41 44 82 88 157 164 314 328 451 628 902 1223 1256 1727 1804 2446 3454 3608 4892 6437 6908 9784 12874 13453 13816 25748 26906 50143 51496 53812 70807 100286 107624 141614 189593 192011 200572 283228 379186 384022 401144 551573 566456 758372 768044 1103146 1516744 1536088 2085523 2112121 2206292 4171046 4224242 4412584 7773313 7872451 8342092 8448484 15546626 15744902 16684184 16896968 29766101 31093252 31489804 59532202 62186504 62979608 85506443 86596961 119064404 171012886 173193922 231872239 238128808 327427111 342025772 346387844 463744478 654854222 684051544 692775688 927488956 1220410141 1309708444 1854977912 2440820282 2550594629 2619416888 4881640564 5101189258 9506761799 9763281128 10202378516 13424511551 19013523598 20404757032 26849023102 36403941523 38027047196 53698046204 72807883046 76054094392 104574379789 107396092408 145615766092 209148759578 291231532184 400443356753 418297519156 800886713506 836595038312 1492561602443 1601773427012 2985123204886 3203546854024 5970246409772 11940492819544 16418177626873 32836355253746 65672710507492 131345421014984