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204440303144 = 237111677092803
BaseRepresentation
bin1011111001100110010…
…1110111011000101000
3201112200210111110022102
42332121211313120220
511322143204200034
6233530225112532
720525135622140
oct2763145673050
9645623443272
10204440303144
1179780248720
1233756788748
131638122399c
149c75acb920
1554b81be97e
hex2f99977628

204440303144 has 128 divisors (see below), whose sum is σ = 481624012800. Its totient is φ = 79035229440.

The previous prime is 204440303129. The next prime is 204440303161. The reversal of 204440303144 is 441303044402.

It is a happy number.

It is a super-2 number, since 2×2044403031442 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 72934847 + ... + 72937649.

It is an arithmetic number, because the mean of its divisors is an integer number (3762687600).

Almost surely, 2204440303144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 204440303144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240812006400).

204440303144 is an abundant number, since it is smaller than the sum of its proper divisors (277183709656).

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

204440303144 is a wasteful number, since it uses less digits than its factorization.

204440303144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3703 (or 3699 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 29.

Adding to 204440303144 its reverse (441303044402), we get a palindrome (645743347546).

The spelling of 204440303144 in words is "two hundred four billion, four hundred forty million, three hundred three thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 11 14 22 28 44 56 77 88 154 167 308 334 616 668 709 1169 1336 1418 1837 2338 2803 2836 3674 4676 4963 5606 5672 7348 7799 9352 9926 11212 12859 14696 15598 19621 19852 22424 25718 30833 31196 39242 39704 51436 54593 61666 62392 78484 102872 109186 118403 123332 156968 215831 218372 236806 246664 431662 436744 468101 473612 828821 863324 936202 947224 1302433 1657642 1726648 1872404 1987327 2604866 3276707 3315284 3744808 3974654 5149111 5209732 6553414 6630568 7949308 9117031 10298222 10419464 13106828 13911289 15898616 18234062 20596444 21860597 26213656 27822578 36043777 36468124 41192888 43721194 55645156 72087554 72936248 87442388 111290312 144175108 153024179 174884776 288350216 306048358 331883609 612096716 663767218 1224193432 1327534436 2323185263 2655068872 3650719699 4646370526 7301439398 9292741052 14602878796 18585482104 25555037893 29205757592 51110075786 102220151572 204440303144