Search a number
-
+
401444440430 = 2511731011373613
BaseRepresentation
bin1011101011101111111…
…01000000100101101110
31102101012100112112202112
411311313331000211232
523034124234043210
6504230535324022
741001111304415
oct5656775004556
91371170475675
10401444440430
11145284a14920
1265976b20612
132bb18979817
1415603d6247c
15a69861ad05
hex5d77f4096e

401444440430 has 128 divisors (see below), whose sum is σ = 813116693376. Its totient is φ = 141474816000.

The previous prime is 401444440391. The next prime is 401444440483. The reversal of 401444440430 is 34044444104.

It is a super-2 number, since 2×4014444404302 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 111109304 + ... + 111112916.

It is an arithmetic number, because the mean of its divisors is an integer number (6352474167).

Almost surely, 2401444440430 is an apocalyptic number.

401444440430 is an abundant number, since it is smaller than the sum of its proper divisors (411672252946).

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

401444440430 is a wasteful number, since it uses less digits than its factorization.

401444440430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3942.

The product of its (nonzero) digits is 49152, while the sum is 32.

Adding to 401444440430 its reverse (34044444104), we get a palindrome (435488884534).

It can be divided in two parts, 4014 and 44440430, that added together give a palindrome (44444444).

The spelling of 401444440430 in words is "four hundred one billion, four hundred forty-four million, four hundred forty thousand, four hundred thirty".

Divisors: 1 2 5 10 11 22 55 73 101 110 137 146 202 274 365 505 685 730 803 1010 1111 1370 1507 1606 2222 3014 3613 4015 5555 7226 7373 7535 8030 10001 11110 13837 14746 15070 18065 20002 27674 36130 36865 39743 50005 69185 73730 79486 81103 100010 110011 138370 152207 162206 198715 220022 263749 304414 364913 397430 405515 494981 527498 550055 729826 761035 811030 989962 1010101 1100110 1318745 1522070 1824565 2020202 2474905 2637490 2901239 3649130 4014043 4949810 5050505 5444791 5802478 8028086 10101010 10889582 11111111 14506195 20070215 22222222 26638649 27223955 29012390 36133613 40140430 49993081 53277298 54447910 55555555 72267226 99986162 111111110 133193245 180668065 249965405 266386490 293025139 361336130 397469743 499930810 549923891 586050278 794939486 1099847782 1465125695 1987348715 2749619455 2930251390 3649494913 3974697430 5499238910 7298989826 18247474565 36494949130 40144444043 80288888086 200722220215 401444440430