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301443141340 = 2251141107312331
BaseRepresentation
bin1000110001011110110…
…10010100111011011100
31001211002002110012111101
410120233122110323130
514414323421010330
6350251524402444
730531020265445
oct4305732247334
91054062405441
10301443141340
111069288817a0
124a508846424
132256cb039b3
1410838a842cc
157c942264ca
hex462f694edc

301443141340 has 96 divisors (see below), whose sum is σ = 714035927808. Its totient is φ = 105942336000.

The previous prime is 301443141323. The next prime is 301443141341. The reversal of 301443141340 is 43141344103.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 301443141299 and 301443141308.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (301443141341) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 808975 + ... + 1121305.

It is an arithmetic number, because the mean of its divisors is an integer number (7437874248).

Almost surely, 2301443141340 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 301443141340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (357017963904).

301443141340 is an abundant number, since it is smaller than the sum of its proper divisors (412592786468).

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

301443141340 is a wasteful number, since it uses less digits than its factorization.

301443141340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 312499 (or 312497 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

Adding to 301443141340 its reverse (43141344103), we get a palindrome (344584485443).

The spelling of 301443141340 in words is "three hundred one billion, four hundred forty-three million, one hundred forty-one thousand, three hundred forty".

Divisors: 1 2 4 5 10 11 20 22 41 44 55 82 107 110 164 205 214 220 410 428 451 535 820 902 1070 1177 1804 2140 2255 2354 4387 4510 4708 5885 8774 9020 11770 17548 21935 23540 43870 48257 87740 96514 193028 241285 312331 482570 624662 965140 1249324 1561655 3123310 3435641 6246620 6871282 12805571 13742564 17178205 25611142 33419417 34356410 51222284 64027855 66838834 68712820 128055710 133677668 140861281 167097085 256111420 281722562 334194170 367613587 563445124 668388340 704306405 735227174 1370196097 1408612810 1470454348 1838067935 2740392194 2817225620 3676135870 5480784388 6850980485 7352271740 13701960970 15072157067 27403921940 30144314134 60288628268 75360785335 150721570670 301443141340