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1304441131420 = 225721794183207
BaseRepresentation
bin10010111110110110110…
…000000001000110011100
311121200222202010022020001
4102332312300001012130
5132332443412201140
62435130232304044
7163146160446400
oct22766660010634
94550882108201
101304441131420
11463235014a39
12190986842024
139601522bc5b
14471c732d100
1523de8c85e9a
hex12fb6c0119c

1304441131420 has 144 divisors (see below), whose sum is σ = 3377634386112. Its totient is φ = 420476528640.

The previous prime is 1304441131393. The next prime is 1304441131447. The reversal of 1304441131420 is 241311444031.

It is an interprime number because it is at equal distance from previous prime (1304441131393) and next prime (1304441131447).

It is a super-2 number, since 2×13044411314202 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 15635457 + ... + 15718663.

It is an arithmetic number, because the mean of its divisors is an integer number (23455794348).

Almost surely, 21304441131420 is an apocalyptic number.

1304441131420 is a gapful number since it is divisible by the number (10) 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 1304441131420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1688817193056).

1304441131420 is an abundant number, since it is smaller than the sum of its proper divisors (2073193254692).

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

1304441131420 is a wasteful number, since it uses less digits than its factorization.

1304441131420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84188 (or 84179 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

Adding to 1304441131420 its reverse (241311444031), we get a palindrome (1545752575451).

The spelling of 1304441131420 in words is "one trillion, three hundred four billion, four hundred forty-one million, one hundred thirty-one thousand, four hundred twenty".

Divisors: 1 2 4 5 7 10 14 17 20 28 34 35 49 68 70 85 98 119 140 170 196 238 245 340 476 490 595 833 941 980 1190 1666 1882 2380 3332 3764 4165 4705 6587 8330 9410 13174 15997 16660 18820 26348 31994 32935 46109 63988 65870 79985 83207 92218 111979 131740 159970 166414 184436 223958 230545 319940 332828 416035 447916 461090 559895 582449 783853 832070 922180 1119790 1164898 1414519 1567706 1664140 2239580 2329796 2829038 2912245 3135412 3919265 4077143 5658076 5824490 7072595 7838530 8154286 9901633 11648980 14145190 15677060 16308572 19803266 20385715 28290380 39606532 40771430 49508165 69311431 78297787 81542860 99016330 138622862 156595574 198032660 277245724 313191148 346557155 391488935 548084509 693114310 782977870 1096169018 1331062379 1386228620 1565955740 2192338036 2662124758 2740422545 3836591563 5324249516 5480845090 6655311895 7673183126 9317436653 10961690180 13310623790 15346366252 18634873306 19182957815 26621247580 37269746612 38365915630 46587183265 65222056571 76731831260 93174366530 130444113142 186348733060 260888226284 326110282855 652220565710 1304441131420