Search a number
-
+
4454015334144 = 2838296995777
BaseRepresentation
bin100000011010000100000…
…0000000111011100000000
3120202210120222122100111020
41000310020000013130000
51040433310411143034
613250051342145440
7636535436450325
oct100641000073400
916683528570436
104454015334144
111467a345a3a92
125bb274882280
1326402003694c
1411580b218b4c
157acd49ec249
hex40d08007700

4454015334144 has 72 divisors (see below), whose sum is σ = 11868477292560. Its totient is φ = 1482880647168.

The previous prime is 4454015334103. The next prime is 4454015334163. The reversal of 4454015334144 is 4414335104544.

It is a junction number, because it is equal to n+sod(n) for n = 4454015334096 and 4454015334105.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2861217 + ... + 4134560.

Almost surely, 24454015334144 is an apocalyptic number.

It is an amenable number.

4454015334144 is an abundant number, since it is smaller than the sum of its proper divisors (7414461958416).

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

4454015334144 is an equidigital number, since it uses as much as digits as its factorization.

4454015334144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6996625 (or 6996611 counting only the distinct ones).

The product of its (nonzero) digits is 921600, while the sum is 42.

The spelling of 4454015334144 in words is "four trillion, four hundred fifty-four billion, fifteen million, three hundred thirty-four thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 768 829 1658 2487 3316 4974 6632 9948 13264 19896 26528 39792 53056 79584 106112 159168 212224 318336 636672 6995777 13991554 20987331 27983108 41974662 55966216 83949324 111932432 167898648 223864864 335797296 447729728 671594592 895459456 1343189184 1790918912 2686378368 5372756736 5799499133 11598998266 17398497399 23197996532 34796994798 46395993064 69593989596 92791986128 139187979192 185583972256 278375958384 371167944512 556751916768 742335889024 1113503833536 1484671778048 2227007667072 4454015334144