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20444224311 = 3473743131173
BaseRepresentation
bin10011000010100100…
…100001101100110111
31221202210102012110000
4103002210201230313
5313332210134221
613220354402343
71322425016340
oct230244415467
957683365400
1020444224311
118741260355
123b668903b3
131c0a731764
14dbd2bd0c7
157e9c67e26
hex4c2921b37

20444224311 has 160 divisors (see below), whose sum is σ = 37173616128. Its totient is φ = 10953895680.

The previous prime is 20444224301. The next prime is 20444224313. The reversal of 20444224311 is 11342244402.

20444224311 is a `hidden beast` number, since 204 + 4 + 4 + 22 + 431 + 1 = 666.

It is not a de Polignac number, because 20444224311 - 211 = 20444222263 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20444224313) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 118174621 + ... + 118174793.

Almost surely, 220444224311 is an apocalyptic number.

20444224311 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

20444224311 is a deficient number, since it is larger than the sum of its proper divisors (16729391817).

20444224311 is a wasteful number, since it uses less digits than its factorization.

20444224311 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 403 (or 394 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 20444224311 its reverse (11342244402), we get a palindrome (31786468713).

The spelling of 20444224311 in words is "twenty billion, four hundred forty-four million, two hundred twenty-four thousand, three hundred eleven".

Divisors: 1 3 7 9 21 27 37 43 63 81 111 129 131 173 189 259 301 333 387 393 519 567 777 903 917 999 1161 1179 1211 1557 1591 2331 2709 2751 2997 3483 3537 3633 4671 4773 4847 5633 6401 6993 7439 8127 8253 10611 10899 11137 14013 14319 14541 16899 19203 20979 22317 22663 24381 24759 32697 33411 33929 39431 42957 43623 44807 50697 52073 57609 66951 67989 74277 98091 100233 101787 118293 128871 130869 134421 152091 156219 158641 172827 200853 203967 208421 275243 300699 305361 354879 392607 403263 456273 468657 475923 518481 602559 611901 625263 825729 838531 902097 916083 974509 1064637 1209789 1405971 1427769 1458947 1835703 1875789 1926701 2477187 2515593 2748249 2923527 3193911 3629367 4217913 4283307 4376841 5627367 5780103 5869717 6821563 7431561 7546779 8770581 12849921 13130523 16882101 17340309 17609151 20464689 22294683 22640337 26311743 36056833 39391569 52020927 52827453 61394067 67921011 78935229 108170499 118174707 156062781 158482359 184182201 252397831 324511497 475447077 552546603 757193493 973534491 2271580479 2920603473 6814741437 20444224311