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145575477300 = 223521183952579
BaseRepresentation
bin1000011110010011111…
…0011000000000110100
3111220202101221110202110
42013210332120000310
54341114310233200
6150513151411020
713342332066111
oct2074476300064
9456671843673
10145575477300
115681361a820
1224268b23a70
131095ca115a6
14708dcd1908
153bc044eb50
hex21e4f98034

145575477300 has 144 divisors (see below), whose sum is σ = 460045555200. Its totient is φ = 35248291200.

The previous prime is 145575477269. The next prime is 145575477301. The reversal of 145575477300 is 3774575541.

It is a super-2 number, since 2×1455754773002 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 145575477300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145575477301) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2742411 + ... + 2794989.

It is an arithmetic number, because the mean of its divisors is an integer number (3194760800).

Almost surely, 2145575477300 is an apocalyptic number.

145575477300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 145575477300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230022777600).

145575477300 is an abundant number, since it is smaller than the sum of its proper divisors (314470077900).

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

145575477300 is a wasteful number, since it uses less digits than its factorization.

145575477300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53446 (or 53439 counting only the distinct ones).

The product of its (nonzero) digits is 2058000, while the sum is 48.

The spelling of 145575477300 in words is "one hundred forty-five billion, five hundred seventy-five million, four hundred seventy-seven thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 25 30 33 44 50 55 60 66 75 100 110 132 150 165 220 275 300 330 550 660 825 839 1100 1650 1678 2517 3300 3356 4195 5034 8390 9229 10068 12585 16780 18458 20975 25170 27687 36916 41950 46145 50340 52579 55374 62925 83900 92290 105158 110748 125850 138435 157737 184580 210316 230725 251700 262895 276870 315474 461450 525790 553740 578369 630948 692175 788685 922900 1051580 1156738 1314475 1384350 1577370 1735107 2313476 2628950 2768700 2891845 3154740 3470214 3943425 5257900 5783690 6940428 7886850 8675535 11567380 14459225 15773700 17351070 28918450 34702140 43377675 44113781 57836900 86755350 88227562 132341343 173510700 176455124 220568905 264682686 441137810 485251591 529365372 661706715 882275620 970503182 1102844525 1323413430 1455754773 1941006364 2205689050 2426257955 2646826860 2911509546 3308533575 4411378100 4852515910 5823019092 6617067150 7278773865 9705031820 12131289775 13234134300 14557547730 24262579550 29115095460 36393869325 48525159100 72787738650 145575477300