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304021134404032 = 26315312232364067
BaseRepresentation
bin100010100100000010110111…
…1101110000110100111000000
31110212110010200120202020211011
41011020011233232012213000
5304322040240401412112
62554333214145530304
7121015542061113403
oct10510055756064700
91425403616666734
10304021134404032
1188963703613701
122a1213ba943994
13100840ba913566
1455109b6993d3a
152523449e64aa7
hex114816fb869c0

304021134404032 has 112 divisors (see below), whose sum is σ = 635022102177792. Its totient is φ = 144213321507840.

The previous prime is 304021134404023. The next prime is 304021134404033. The reversal of 304021134404032 is 230404431120403.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a junction number, because it is equal to n+sod(n) for n = 304021134403985 and 304021134404003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (304021134404033) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 127418863 + ... + 129782929.

It is an arithmetic number, because the mean of its divisors is an integer number (5669840198016).

Almost surely, 2304021134404032 is an apocalyptic number.

304021134404032 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 304021134404032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (317511051088896).

304021134404032 is an abundant number, since it is smaller than the sum of its proper divisors (331000967773760).

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

304021134404032 is a wasteful number, since it uses less digits than its factorization.

304021134404032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2365386 (or 2365376 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 31.

Adding to 304021134404032 its reverse (230404431120403), we get a palindrome (534425565524435).

The spelling of 304021134404032 in words is "three hundred four trillion, twenty-one billion, one hundred thirty-four million, four hundred four thousand, thirty-two".

Divisors: 1 2 4 8 16 31 32 53 62 64 106 124 212 248 424 496 848 992 1223 1643 1696 1984 2446 3286 3392 4892 6572 9784 13144 19568 26288 37913 39136 52576 64819 75826 78272 105152 129638 151652 259276 303304 518552 606608 1037104 1213216 2009389 2074208 2364067 2426432 4018778 4148416 4728134 8037556 9456268 16075112 18912536 32150224 37825072 64300448 73286077 75650144 125295551 128600896 146572154 151300288 250591102 293144308 501182204 586288616 1002364408 1172577232 2004728816 2345154464 2891253941 3884162081 4009457632 4690308928 5782507882 7768324162 8018915264 11565015764 15536648324 23130031528 31073296648 46260063056 62146593296 89628872171 92520126112 124293186592 153236458873 179257744342 185040252224 248586373184 306472917746 358515488684 612945835492 717030977368 1225891670984 1434061954736 2451783341968 2868123909472 4750330225063 4903566683936 5736247818944 9500660450126 9807133367872 19001320900252 38002641800504 76005283601008 152010567202016 304021134404032