Search a number
-
+
1431645752196 = 223411260432
BaseRepresentation
bin10100110101010100101…
…111001000101110000100
312001212022212001120110000
4110311110233020232010
5141424002303032241
63013404453001300
7205301342052162
oct24652457105604
95055285046400
101431645752196
11502180782300
121b1567323230
13a5007c3382a
144d413458232
15273914c3eb6
hex14d54bc8b84

1431645752196 has 135 divisors (see below), whose sum is σ = 4114453070343. Its totient is φ = 433760255280.

The previous prime is 1431645752111. The next prime is 1431645752203. The reversal of 1431645752196 is 6912575461341.

The square root of 1431645752196 is 1196514.

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

1431645752196 is a `hidden beast` number, since 1 + 4 + 3 + 1 + 64 + 57 + 521 + 9 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 44 ways as a sum of consecutive naturals, for example, 236906751 + ... + 236912793.

Almost surely, 21431645752196 is an apocalyptic number.

1431645752196 is the 1196514-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1431645752196

1431645752196 is an abundant number, since it is smaller than the sum of its proper divisors (2682807318147).

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

1431645752196 is an frugal number, since it uses more digits than its factorization.

1431645752196 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12124 (or 6059 counting only the distinct ones).

The product of its digits is 5443200, while the sum is 54.

The spelling of 1431645752196 in words is "one trillion, four hundred thirty-one billion, six hundred forty-five million, seven hundred fifty-two thousand, one hundred ninety-six".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 81 99 108 121 132 162 198 242 297 324 363 396 484 594 726 891 1089 1188 1452 1782 2178 3267 3564 4356 6043 6534 9801 12086 13068 18129 19602 24172 36258 39204 54387 66473 72516 108774 132946 163161 199419 217548 265892 326322 398838 489483 598257 652644 731203 797676 978966 1196514 1462406 1794771 1957932 2193609 2393028 2924812 3589542 4387218 5384313 6580827 7179084 8774436 10768626 13161654 19742481 21537252 26323308 36517849 39484962 59227443 73035698 78969924 109553547 118454886 146071396 219107094 236909772 328660641 401696339 438214188 657321282 803392678 985981923 1205089017 1314642564 1606785356 1971963846 2410178034 2957945769 3615267051 3943927692 4418659729 4820356068 5915891538 7230534102 8837319458 10845801153 11831783076 13255979187 14461068204 17674638916 21691602306 26511958374 32537403459 39767937561 43383204612 53023916748 65074806918 79535875122 119303812683 130149613836 159071750244 238607625366 357911438049 477215250732 715822876098 1431645752196