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14098936071025 = 521326129472
BaseRepresentation
bin1100110100101010101000…
…0100111000001101110001
31211220211211002121002211101
43031022222010320031301
53321444110113233100
645552543430244401
72653420531155241
oct315125204701561
954824732532741
1014098936071025
114546363943143
1216b85751b6701
137b36a7202100
1436a56c09db21
15196b2ba2986a
hexcd2aa138371

14098936071025 has 81 divisors (see below), whose sum is σ = 19266726168963. Its totient is φ = 10230027350400.

The previous prime is 14098936071023. The next prime is 14098936071047. The reversal of 14098936071025 is 52017063989041.

It is a happy number.

The square root of 14098936071025 is 3754855.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 13 ways, for example, as 12430426513761 + 1668509557264 = 3525681^2 + 1291708^2 .

It is not a de Polignac number, because 14098936071025 - 21 = 14098936071023 is a prime.

It is not an unprimeable number, because it can be changed into a prime (14098936071023) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 14887999602 + ... + 14888000548.

It is a 1-persistent number, because it is pandigital, but 2⋅14098936071025 = 28197872142050 is not.

Almost surely, 214098936071025 is an apocalyptic number.

14098936071025 is the 3754855-th square number.

14098936071025 is the 1877428-th centered octagonal number.

It is an amenable number.

14098936071025 is a deficient number, since it is larger than the sum of its proper divisors (5167790097938).

14098936071025 is an frugal number, since it uses more digits than its factorization.

14098936071025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2052 (or 1026 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 55.

The spelling of 14098936071025 in words is "fourteen trillion, ninety-eight billion, nine hundred thirty-six million, seventy-one thousand, twenty-five".

Divisors: 1 5 13 25 61 65 169 305 325 793 845 947 1525 3721 3965 4225 4735 10309 12311 18605 19825 23675 48373 51545 57767 61555 93025 160043 241865 257725 288835 307775 628849 750971 800215 896809 1209325 1444175 3144245 3523787 3754855 4001075 4484045 9762623 11658517 15721225 17618935 18774275 22420225 45809231 48813115 54705349 58292585 88094675 151560721 229046155 244065575 273526745 291462925 595520003 711169537 757803605 1145230775 1367633725 2977600015 3337026289 3555847685 3789018025 9245203981 14888000075 16685131445 17779238425 43381341757 46226019905 83425657225 216906708785 231130099525 563957442841 1084533543925 2819787214205 14098936071025