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131410501194 = 23717751245071
BaseRepresentation
bin111101001100010101…
…1010001111001001010
3110120012020001010111210
41322120223101321022
54123112042014234
6140211423033550
712331321554510
oct1723053217112
9416166033453
10131410501194
11508048905a5
122157513b8b6
13c51318c01b
1465089524b0
153641acebe9
hex1e98ad1e4a

131410501194 has 64 divisors (see below), whose sum is σ = 318460280832. Its totient is φ = 35290080000.

The previous prime is 131410501153. The next prime is 131410501213. The reversal of 131410501194 is 491105014131.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 413679 + ... + 658749.

It is an arithmetic number, because the mean of its divisors is an integer number (4975941888).

Almost surely, 2131410501194 is an apocalyptic number.

131410501194 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 131410501194, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159230140416).

131410501194 is an abundant number, since it is smaller than the sum of its proper divisors (187049779638).

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

131410501194 is a wasteful number, since it uses less digits than its factorization.

131410501194 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 245851.

The product of its (nonzero) digits is 2160, while the sum is 30.

The spelling of 131410501194 in words is "one hundred thirty-one billion, four hundred ten million, five hundred one thousand, one hundred ninety-four".

Divisors: 1 2 3 6 7 14 17 21 34 42 51 102 119 238 357 714 751 1502 2253 4506 5257 10514 12767 15771 25534 31542 38301 76602 89369 178738 245071 268107 490142 536214 735213 1470426 1715497 3430994 4166207 5146491 8332414 10292982 12498621 24997242 29163449 58326898 87490347 174980694 184048321 368096642 552144963 1104289926 1288338247 2576676494 3128821457 3865014741 6257642914 7730029482 9386464371 18772928742 21901750199 43803500398 65705250597 131410501194