Search a number
-
+
4444140402320 = 245217929718581
BaseRepresentation
bin100000010101011101101…
…1010001111011010010000
3120201212002210012211122112
41000222323122033122100
51040303044420333240
613241335424124452
7636035641065533
oct100527332173220
916655083184575
104444140402320
111463827442603
125b9379766728
13263108229218
14115151930a1a
157a907ae6665
hex40abb68f690

4444140402320 has 80 divisors (see below), whose sum is σ = 10342052857920. Its totient is φ = 1776035289600.

The previous prime is 4444140402313. The next prime is 4444140402347. The reversal of 4444140402320 is 232040414444.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×44441404023202 (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 517900430 + ... + 517909010.

It is an arithmetic number, because the mean of its divisors is an integer number (129275660724).

Almost surely, 24444140402320 is an apocalyptic number.

4444140402320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4444140402320 is an abundant number, since it is smaller than the sum of its proper divisors (5897912455600).

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

4444140402320 is a wasteful number, since it uses less digits than its factorization.

4444140402320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13744 (or 13738 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 32.

Adding to 4444140402320 its reverse (232040414444), we get a palindrome (4676180816764).

The spelling of 4444140402320 in words is "four trillion, four hundred forty-four billion, one hundred forty million, four hundred two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 2179 2971 4358 5942 8581 8716 10895 11884 14855 17162 17432 21790 23768 29710 34324 34864 42905 43580 47536 59420 68648 85810 87160 118840 137296 171620 174320 237680 343240 686480 6473809 12947618 18697999 25494151 25895236 32369045 37395998 50988302 51790472 64738090 74791996 93489995 101976604 103580944 127470755 129476180 149583992 186979990 203953208 254941510 258952360 299167984 373959980 407906416 509883020 517904720 747919960 1019766040 1495839920 2039532080 55551755029 111103510058 222207020116 277758775145 444414040232 555517550290 888828080464 1111035100580 2222070201160 4444140402320