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144565663550 = 25271124198147
BaseRepresentation
bin1000011010100011001…
…0001111011100111110
3111211011000210121201012
42012220302033130332
54332032302213200
6150225035515222
713305320602520
oct2065062173476
9454130717635
10144565663550
1156345603800
12240268b8b12
131082b749569
146dd5b4ba10
153b61980a35
hex21a8c8f73e

144565663550 has 144 divisors (see below), whose sum is σ = 338629576320. Its totient is φ = 44946369600.

The previous prime is 144565663547. The next prime is 144565663573. The reversal of 144565663550 is 55366565441.

It is a hoax number, since the sum of its digits (50) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (50).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 17740577 + ... + 17748723.

It is an arithmetic number, because the mean of its divisors is an integer number (2351594280).

Almost surely, 2144565663550 is an apocalyptic number.

144565663550 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

144565663550 is an abundant number, since it is smaller than the sum of its proper divisors (194063912770).

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

144565663550 is a wasteful number, since it uses less digits than its factorization.

144565663550 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8607 (or 8591 counting only the distinct ones).

The product of its (nonzero) digits is 6480000, while the sum is 50.

The spelling of 144565663550 in words is "one hundred forty-four billion, five hundred sixty-five million, six hundred sixty-three thousand, five hundred fifty".

Divisors: 1 2 5 7 10 11 14 22 25 35 50 55 70 77 110 121 154 175 242 275 350 385 419 550 605 770 838 847 1210 1694 1925 2095 2933 3025 3850 4190 4235 4609 5866 6050 8147 8470 9218 10475 14665 16294 20950 21175 23045 29330 32263 40735 42350 46090 50699 57029 64526 73325 81470 89617 101398 114058 115225 146650 161315 179234 203675 230450 253495 285145 322630 354893 407350 448085 506990 570290 627319 709786 806575 896170 985787 1254638 1267475 1425725 1613150 1774465 1971574 2240425 2534950 2851450 3136595 3413593 3548930 4480850 4928935 6273190 6827186 6900509 8872325 9857870 13801018 15682975 17067965 17744650 23895151 24644675 31365950 34135930 34502545 37549523 47790302 49289350 69005090 75099046 85339825 119475755 170679650 172512725 187747615 238951510 262846661 345025450 375495230 413044753 525693322 597378775 826089506 938738075 1194757550 1314233305 1877476150 2065223765 2628466610 2891313271 4130447530 5782626542 6571166525 10326118825 13142333050 14456566355 20652237650 28913132710 72282831775 144565663550