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301442241044 = 2271729101216211
BaseRepresentation
bin1000110001011110101…
…10111001001000010100
31001211002000202110112002
410120233112321020110
514414323203203134
6350251453214432
730531006525620
oct4305726711024
91054060673462
10301442241044
1110692831734a
124a508491418
132256c879c89
14108388cc180
157c940e987e
hex462f5b9214

301442241044 has 96 divisors (see below), whose sum is σ = 666901589760. Its totient is φ = 116234496000.

The previous prime is 301442241019. The next prime is 301442241049. The reversal of 301442241044 is 440142244103.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a junction number, because it is equal to n+sod(n) for n = 301442240998 and 301442241016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (301442241049) 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, 1286099 + ... + 1502309.

It is an arithmetic number, because the mean of its divisors is an integer number (6946891560).

Almost surely, 2301442241044 is an apocalyptic number.

301442241044 is a gapful number since it is divisible by the number (34) 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 301442241044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (333450794880).

301442241044 is an abundant number, since it is smaller than the sum of its proper divisors (365459348716).

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

301442241044 is a wasteful number, since it uses less digits than its factorization.

301442241044 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 216369 (or 216367 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 29.

Adding to 301442241044 its reverse (440142244103), we get a palindrome (741584485147).

The spelling of 301442241044 in words is "three hundred one billion, four hundred forty-two million, two hundred forty-one thousand, forty-four".

Divisors: 1 2 4 7 14 17 28 29 34 58 68 101 116 119 202 203 238 404 406 476 493 707 812 986 1414 1717 1972 2828 2929 3434 3451 5858 6868 6902 11716 12019 13804 20503 24038 41006 48076 49793 82012 99586 199172 216211 348551 432422 697102 864844 1394204 1513477 3026954 3675587 6053908 6270119 7351174 12540238 14702348 21837311 25080476 25729109 43674622 43890833 51458218 87349244 87781666 102916436 106592023 152861177 175563332 213184046 305722354 371234287 426368092 611444708 633282019 742468574 746144161 1266564038 1484937148 1492288322 2533128076 2598640009 2984576644 4432974133 5197280018 8865948266 10394560036 10765794323 17731896532 21531588646 43063177292 75360560261 150721120522 301442241044