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1034424441100 = 225223647695131
BaseRepresentation
bin11110000110110001000…
…00000101100100001100
310122220000211002020001001
433003120200011210030
5113422000124103400
62111112533430044
7134510000450041
oct17033040054414
93586024066031
101034424441100
113697736a2016
1214858a79b324
13767131a060b
14380d032d1c8
151bd93a05a6a
hexf0d880590c

1034424441100 has 72 divisors (see below), whose sum is σ = 2345920351488. Its totient is φ = 395167502400.

The previous prime is 1034424441047. The next prime is 1034424441101. The reversal of 1034424441100 is 11444244301.

It is not an unprimeable number, because it can be changed into a prime (1034424441101) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1140535 + ... + 1835665.

It is an arithmetic number, because the mean of its divisors is an integer number (32582227104).

Almost surely, 21034424441100 is an apocalyptic number.

1034424441100 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 1034424441100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1172960175744).

1034424441100 is an abundant number, since it is smaller than the sum of its proper divisors (1311495910388).

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

1034424441100 is a wasteful number, since it uses less digits than its factorization.

1034424441100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 695815 (or 695808 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 28.

Adding to 1034424441100 its reverse (11444244301), we get a palindrome (1045868685401).

The spelling of 1034424441100 in words is "one trillion, thirty-four billion, four hundred twenty-four million, four hundred forty-one thousand, one hundred".

Divisors: 1 2 4 5 10 20 23 25 46 50 92 100 115 230 460 575 647 1150 1294 2300 2588 3235 6470 12940 14881 16175 29762 32350 59524 64700 74405 148810 297620 372025 695131 744050 1390262 1488100 2780524 3475655 6951310 13902620 15988013 17378275 31976026 34756550 63952052 69513100 79940065 159880130 319760260 399700325 449749757 799400650 899499514 1598801300 1798999028 2248748785 4497497570 8994995140 10344244411 11243743925 20688488822 22487487850 41376977644 44974975700 51721222055 103442444110 206884888220 258606110275 517212220550 1034424441100