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4454422244544 = 263214310825999
BaseRepresentation
bin100000011010010000001…
…0000010110110011000000
3120202211122100022112121210
41000310200100112303000
51040440124043311134
613250155555450120
7636551510233116
oct100644020266300
916684570275553
104454422244544
111468123259878
125bb368bb6940
1326408642772c
1411584929bab6
157ad0a5c82e9
hex40d20416cc0

4454422244544 has 56 divisors (see below), whose sum is σ = 11791159552000. Its totient is φ = 1484114413824.

The previous prime is 4454422244507. The next prime is 4454422244561.

It is a happy number.

4454422244544 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 4454422244493 and 4454422244502.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5001544 + ... + 5824455.

Almost surely, 24454422244544 is an apocalyptic number.

It is an amenable number.

4454422244544 is an abundant number, since it is smaller than the sum of its proper divisors (7336737307456).

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

4454422244544 is a wasteful number, since it uses less digits than its factorization.

4454422244544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10828157 (or 10828147 counting only the distinct ones).

The product of its digits is 13107200, while the sum is 48.

The spelling of 4454422244544 in words is "four trillion, four hundred fifty-four billion, four hundred twenty-two million, two hundred forty-four thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 2143 4286 6429 8572 12858 17144 25716 34288 51432 68576 102864 137152 205728 411456 10825999 21651998 32477997 43303996 64955994 86607992 129911988 173215984 259823976 346431968 519647952 692863936 1039295904 2078591808 23200115857 46400231714 69600347571 92800463428 139200695142 185600926856 278401390284 371201853712 556802780568 742403707424 1113605561136 1484807414848 2227211122272 4454422244544