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1000241044404 = 223767643276401
BaseRepresentation
bin11101000111000110000…
…00110001101110110100
310112121210111222202020120
432203203000301232310
5112341443201410104
62043300540531540
7132156622411260
oct16434300615664
93477714882216
101000241044404
11356221aa2148
12141a2a850bb0
13734261c3b74
14365aa4710a0
151b0429cbcd9
hexe8e3031bb4

1000241044404 has 96 divisors (see below), whose sum is σ = 2711339990016. Its totient is φ = 281078899200.

The previous prime is 1000241044399. The next prime is 1000241044409. The reversal of 1000241044404 is 4044401420001.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1000241044399) and next prime (1000241044409).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1000241044409) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 3480604 + ... + 3757004.

It is an arithmetic number, because the mean of its divisors is an integer number (28243124896).

Almost surely, 21000241044404 is an apocalyptic number.

1000241044404 is a gapful number since it is divisible by the number (14) 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 1000241044404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1355669995008).

1000241044404 is an abundant number, since it is smaller than the sum of its proper divisors (1711098945612).

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

1000241044404 is a wasteful number, since it uses less digits than its factorization.

1000241044404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 277125 (or 277123 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

Adding to 1000241044404 its reverse (4044401420001), we get a palindrome (5044642464405).

The spelling of 1000241044404 in words is "one trillion, two hundred forty-one million, forty-four thousand, four hundred four".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 67 84 134 201 268 402 469 643 804 938 1286 1407 1876 1929 2572 2814 3858 4501 5628 7716 9002 13503 18004 27006 43081 54012 86162 129243 172324 258486 276401 301567 516972 552802 603134 829203 904701 1105604 1206268 1658406 1809402 1934807 3316812 3618804 3869614 5804421 7739228 11608842 18518867 23217684 37037734 55556601 74075468 111113202 129632069 177725843 222226404 259264138 355451686 388896207 518528276 533177529 710903372 777792414 1066355058 1244080901 1555584828 2132710116 2488161802 3732242703 4976323604 7464485406 11907631481 14928970812 23815262962 35722894443 47630525924 71445788886 83353420367 142891577772 166706840734 250060261101 333413681468 500120522202 1000241044404