Search a number
-
+
1412287429609 = 747923072
BaseRepresentation
bin10100100011010010111…
…000111111101111101001
312000000100201221220010101
4110203102320333233221
5141114331040221414
63000443524545401
7204014541040000
oct24432270775751
95000321856111
101412287429609
114a4a47487aa1
121a9864252261
13a3241487994
144c4d8487c37
1526b0bc59a74
hex148d2e3fbe9

1412287429609 has 45 divisors (see below), whose sum is σ = 1674143126397. Its totient is φ = 1191315703032.

The previous prime is 1412287429591. The next prime is 1412287429639. The reversal of 1412287429609 is 9069247822141.

The square root of 1412287429609 is 1188397.

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

It is not a de Polignac number, because 1412287429609 - 27 = 1412287429481 is a prime.

It is a super-2 number, since 2×14122874296092 (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1412287429609.

It is not an unprimeable number, because it can be changed into a prime (1412287429639) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 4600284634 + ... + 4600284940.

Almost surely, 21412287429609 is an apocalyptic number.

1412287429609 is the 1188397-th square number.

1412287429609 is the 594199-th centered octagonal number.

It is an amenable number.

1412287429609 is a deficient number, since it is larger than the sum of its proper divisors (261855696788).

1412287429609 is an frugal number, since it uses more digits than its factorization.

1412287429609 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 800 (or 393 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 55.

The spelling of 1412287429609 in words is "one trillion, four hundred twelve billion, two hundred eighty-seven million, four hundred twenty-nine thousand, six hundred nine".

Divisors: 1 7 49 79 307 343 553 2149 2401 3871 6241 15043 24253 27097 43687 94249 105301 169771 189679 305809 659743 737107 1188397 1915987 2140663 4618201 7445671 8318779 13411909 14984641 32327407 52119697 58231453 93883363 226291849 364837879 588208009 657183541 2553865153 4117456063 4600284787 17877056071 28822192441 201755347087 1412287429609