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100044004840 = 23513238472
BaseRepresentation
bin101110100101100010…
…1100101110111101000
3100120020020110000112121
41131023011211313220
53114342231123330
6113543134121024
710141120003333
oct1351305456750
9316206400477
10100044004840
113947926163a
1217480650174
139584979100
144bb0c3761a
15290802d17a
hex174b165de8

100044004840 has 72 divisors (see below), whose sum is σ = 243809642790. Its totient is φ = 36929722752.

The previous prime is 100044004831. The next prime is 100044004867. The reversal of 100044004840 is 48400440001.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 43155076644 + 56888928196 = 207738^2 + 238514^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 26003797 + ... + 26007643.

Almost surely, 2100044004840 is an apocalyptic number.

100044004840 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 100044004840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121904821395).

100044004840 is an abundant number, since it is smaller than the sum of its proper divisors (143765637950).

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

100044004840 is an frugal number, since it uses more digits than its factorization.

100044004840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7731 (or 3867 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 25.

Adding to 100044004840 its reverse (48400440001), we get a palindrome (148444444841).

The spelling of 100044004840 in words is "one hundred billion, forty-four million, four thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 169 260 338 520 676 845 1352 1690 3380 3847 6760 7694 15388 19235 30776 38470 50011 76940 100022 153880 200044 250055 400088 500110 650143 1000220 1300286 2000440 2600572 3250715 5201144 6501430 13002860 14799409 26005720 29598818 59197636 73997045 118395272 147994090 192392317 295988180 384784634 591976360 769569268 961961585 1539138536 1923923170 2501100121 3847846340 5002200242 7695692680 10004400484 12505500605 20008800968 25011001210 50022002420 100044004840