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1025431341354 = 232729397706883
BaseRepresentation
bin11101110110000000111…
…10001000100100101010
310122000211001222102101200
432323000132020210222
5113300040410410404
62103024320225030
7134041100405250
oct16730036104452
93560731872350
101025431341354
11365979294082
1214689aa6b176
137590bc98014
14378b9bd25d0
151ba1923d839
hexeec078892a

1025431341354 has 96 divisors (see below), whose sum is σ = 2633340827520. Its totient is φ = 282164674176.

The previous prime is 1025431341301. The next prime is 1025431341367. The reversal of 1025431341354 is 4531431345201.

1025431341354 is a `hidden beast` number, since 1 + 0 + 254 + 3 + 13 + 41 + 354 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1097197 + ... + 1804079.

It is an arithmetic number, because the mean of its divisors is an integer number (27430633620).

Almost surely, 21025431341354 is an apocalyptic number.

1025431341354 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 1025431341354, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1316670413760).

1025431341354 is an abundant number, since it is smaller than the sum of its proper divisors (1607909486166).

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

1025431341354 is a wasteful number, since it uses less digits than its factorization.

1025431341354 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 707324 (or 707321 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

Adding to 1025431341354 its reverse (4531431345201), we get a palindrome (5556862686555).

The spelling of 1025431341354 in words is "one trillion, twenty-five billion, four hundred thirty-one million, three hundred forty-one thousand, three hundred fifty-four".

Divisors: 1 2 3 6 7 9 14 18 21 29 42 58 63 87 126 174 203 261 397 406 522 609 794 1191 1218 1827 2382 2779 3573 3654 5558 7146 8337 11513 16674 23026 25011 34539 50022 69078 80591 103617 161182 207234 241773 483546 706883 725319 1413766 1450638 2120649 4241298 4948181 6361947 9896362 12723894 14844543 20499607 29689086 40999214 44533629 61498821 89067258 122997642 143497249 184496463 280632551 286994498 368992926 430491747 561265102 841897653 860983494 1291475241 1683795306 1964427857 2525692959 2582950482 3928855714 5051385918 5893283571 8138343979 11786567142 16276687958 17679850713 24415031937 35359701426 48830063874 56968407853 73245095811 113936815706 146490191622 170905223559 341810447118 512715670677 1025431341354