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1415136264025 = 521124325032
BaseRepresentation
bin10100100101111100101…
…100011011111101011001
312000021201021112200021011
4110211330230123331121
5141141144340422100
63002034333213521
7204145252526461
oct24457454337531
95007637480234
101415136264025
114a617958a500
121aa31a3312a1
13a35a6752913
144c6c8980ba1
1526c26dddbba
hex1497cb1bf59

1415136264025 has 81 divisors (see below), whose sum is σ = 1978628149407. Its totient is φ = 1003256839200.

The previous prime is 1415136264023. The next prime is 1415136264037. The reversal of 1415136264025 is 5204626315141.

The square root of 1415136264025 is 1189595.

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

It can be written as a sum of positive squares in only one way, i.e., 509449055049 + 905687208976 = 713757^2 + 951676^2 .

It is not a de Polignac number, because 1415136264025 - 21 = 1415136264023 is a prime.

It is a super-2 number, since 2×14151362640252 (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1415136264023) 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, 2813391924 + ... + 2813392426.

Almost surely, 21415136264025 is an apocalyptic number.

1415136264025 is the 1189595-th square number.

1415136264025 is the 594798-th centered octagonal number.

It is an amenable number.

1415136264025 is a deficient number, since it is larger than the sum of its proper divisors (563491885382).

1415136264025 is an frugal number, since it uses more digits than its factorization.

1415136264025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1124 (or 562 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 40.

The spelling of 1415136264025 in words is "one trillion, four hundred fifteen billion, one hundred thirty-six million, two hundred sixty-four thousand, twenty-five".

Divisors: 1 5 11 25 43 55 121 215 275 473 503 605 1075 1849 2365 2515 3025 5203 5533 9245 11825 12575 20339 21629 26015 27665 46225 60863 101695 108145 130075 138325 223729 237919 253009 304315 508475 540725 930047 1118645 1189595 1265045 1521575 2617109 2783099 4650235 5593225 5947975 6325225 10230517 10879387 13085545 13915495 23251175 30614089 51152585 54396935 65427725 69577475 112535687 119673257 153070445 255762925 271984675 467813641 562678435 598366285 765352225 1316405827 2339068205 2813392175 2991831425 5145950051 6582029135 11695341025 25729750255 32910145675 56605450561 128648751275 283027252805 1415136264025