Search a number
-
+
14427441037120 = 265239369151109
BaseRepresentation
bin1101000111110010011001…
…1111110111111101000000
31220002020202011122102222111
43101330212133313331000
53342334344401141440
650403512551545104
73016230303254206
oct321744637677500
956066664572874
1014427441037120
114662709385361
12175017498b194
1380866a752057
1437c412c7b076
151a04569494ea
hexd1f267f7f40

14427441037120 has 112 divisors (see below), whose sum is σ = 34509112185600. Its totient is φ = 5745160673280.

The previous prime is 14427441037039. The next prime is 14427441037123. The reversal of 14427441037120 is 2173014472441.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14427441037123) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 282262126 + ... + 282313234.

Almost surely, 214427441037120 is an apocalyptic number.

14427441037120 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 14427441037120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17254556092800).

14427441037120 is an abundant number, since it is smaller than the sum of its proper divisors (20081671148480).

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

14427441037120 is a wasteful number, since it uses less digits than its factorization.

14427441037120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55056 (or 55046 counting only the distinct ones).

The product of its (nonzero) digits is 150528, while the sum is 40.

The spelling of 14427441037120 in words is "fourteen trillion, four hundred twenty-seven billion, four hundred forty-one million, thirty-seven thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 160 239 320 478 956 1195 1912 2390 3691 3824 4780 7382 7648 9560 14764 15296 18455 19120 29528 36910 38240 51109 59056 73820 76480 102218 118112 147640 204436 236224 255545 295280 408872 511090 590560 817744 882149 1022180 1181120 1635488 1764298 2044360 3270976 3528596 4088720 4410745 7057192 8177440 8821490 12215051 14114384 16354880 17642980 24430102 28228768 35285960 48860204 56457536 61075255 70571920 97720408 122150510 141143840 188643319 195440816 244301020 282287680 377286638 390881632 488602040 754573276 781763264 943216595 977204080 1509146552 1886433190 1954408160 3018293104 3772866380 3908816320 6036586208 7545732760 12073172416 15091465520 30182931040 45085753241 60365862080 90171506482 180343012964 225428766205 360686025928 450857532410 721372051856 901715064820 1442744103712 1803430129640 2885488207424 3606860259280 7213720518560 14427441037120