Search a number
-
+
144855065773248 = 2639113677225227
BaseRepresentation
bin100000111011111010110010…
…101111010100010011000000
3200222220000020121001002122020
4200323322302233110103000
5122441301133314220443
61232025255404041440
742340301365325205
oct4073726257242300
9628800217032566
10144855065773248
11421787632a1016
12142b5a70533280
1362a9a0a8a2a7c
1427ab045dc5cac
1511b302cc28583
hex83beb2bd44c0

144855065773248 has 112 divisors (see below), whose sum is σ = 383789117412864. Its totient is φ = 48218688394240.

The previous prime is 144855065773237. The next prime is 144855065773261. The reversal of 144855065773248 is 842377560558441.

It is a Smith number, since the sum of its digits (69) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 643038811 + ... + 643264037.

Almost surely, 2144855065773248 is an apocalyptic number.

It is an amenable number.

144855065773248 is an abundant number, since it is smaller than the sum of its proper divisors (238934051639616).

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

144855065773248 is a wasteful number, since it uses less digits than its factorization.

144855065773248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 229830 (or 229820 counting only the distinct ones).

The product of its (nonzero) digits is 903168000, while the sum is 69.

The spelling of 144855065773248 in words is "one hundred forty-four trillion, eight hundred fifty-five billion, sixty-five million, seven hundred seventy-three thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 911 1822 2733 3644 3677 5466 7288 7354 10932 11031 14576 14708 21864 22062 29152 29416 43728 44124 58304 58832 87456 88248 117664 174912 176496 225227 235328 352992 450454 675681 705984 900908 1351362 1801816 2702724 3349747 3603632 5405448 6699494 7207264 10049241 10810896 13398988 14414528 20098482 21621792 26797976 40196964 43243584 53595952 80393928 107191904 160787856 205181797 214383808 321575712 410363594 615545391 643151424 820727188 828159679 1231090782 1641454376 1656319358 2462181564 2484479037 3282908752 3312638716 4924363128 4968958074 6565817504 6625277432 9848726256 9937916148 13131635008 13250554864 19697452512 19875832296 26501109728 39394905024 39751664592 53002219456 79503329184 159006658368 754453467569 1508906935138 2263360402707 3017813870276 4526720805414 6035627740552 9053441610828 12071255481104 18106883221656 24142510962208 36213766443312 48285021924416 72427532886624 144855065773248