Search a number
-
+
144617123552 = 25112317862787
BaseRepresentation
bin1000011010101111011…
…0100010111011100000
3111211021121122001120012
42012223312202323200
54332133440423202
6150234114504052
713306514160626
oct2065366427340
9454247561505
10144617123552
1156371661430
122403bb95028
13108392c6375
146ddc905516
153b66248152
hex21abda2ee0

144617123552 has 48 divisors (see below), whose sum is σ = 324102425472. Its totient is φ = 62877006720.

The previous prime is 144617123471. The next prime is 144617123561. The reversal of 144617123552 is 255321716441.

144617123552 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1446171235522 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8923298 + ... + 8939489.

It is an arithmetic number, because the mean of its divisors is an integer number (6752133864).

Almost surely, 2144617123552 is an apocalyptic number.

It is an amenable number.

144617123552 is an abundant number, since it is smaller than the sum of its proper divisors (179485301920).

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

144617123552 is a wasteful number, since it uses less digits than its factorization.

144617123552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17862831 (or 17862823 counting only the distinct ones).

The product of its digits is 201600, while the sum is 41.

Adding to 144617123552 its reverse (255321716441), we get a palindrome (399938839993).

The spelling of 144617123552 in words is "one hundred forty-four billion, six hundred seventeen million, one hundred twenty-three thousand, five hundred fifty-two".

Divisors: 1 2 4 8 11 16 22 23 32 44 46 88 92 176 184 253 352 368 506 736 1012 2024 4048 8096 17862787 35725574 71451148 142902296 196490657 285804592 392981314 410844101 571609184 785962628 821688202 1571925256 1643376404 3143850512 3286752808 4519285111 6287701024 6573505616 9038570222 13147011232 18077140444 36154280888 72308561776 144617123552