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14341104000144 = 2432198636073733
BaseRepresentation
bin1101000010110000110001…
…1010001101110010010000
31212202222220012021112111100
43100230030122031302100
53334431040111001034
650300113501344400
73010052632460145
oct320541432156220
955688805245440
1014341104000144
11462a034377639
12173749a868100
1380048b78671c
1437818263c3cc
1519d0a1e6a099
hexd0b0c68dc90

14341104000144 has 120 divisors (see below), whose sum is σ = 42296511778560. Its totient is φ = 4523521234176.

The previous prime is 14341104000137. The next prime is 14341104000161. The reversal of 14341104000144 is 44100040114341.

14341104000144 is a `hidden beast` number, since 1 + 4 + 3 + 4 + 110 + 400 + 0 + 144 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 675699 + ... + 5398034.

It is an arithmetic number, because the mean of its divisors is an integer number (352470931488).

Almost surely, 214341104000144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14341104000144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21148255889280).

14341104000144 is an abundant number, since it is smaller than the sum of its proper divisors (27955407778416).

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

14341104000144 is a wasteful number, since it uses less digits than its factorization.

14341104000144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6074629 (or 6074620 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 14341104000144 its reverse (44100040114341), we get a palindrome (58441144114485).

The spelling of 14341104000144 in words is "fourteen trillion, three hundred forty-one billion, one hundred four million, one hundred forty-four", and thus it is an aban number.

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 36 38 48 57 72 76 114 144 152 171 228 304 342 456 684 863 912 1368 1726 2589 2736 3452 5178 6904 7767 10356 13808 15534 16397 20712 31068 32794 41424 49191 62136 65588 98382 124272 131176 147573 196764 262352 295146 393528 590292 787056 1180584 2361168 6073733 12147466 18221199 24294932 36442398 48589864 54663597 72884796 97179728 109327194 115400927 145769592 218654388 230801854 291539184 346202781 437308776 461603708 692405562 874617552 923207416 1038608343 1384811124 1846414832 2077216686 2769622248 4154433372 5241631579 5539244496 8308866744 10483263158 15724894737 16617733488 20966526316 31449789474 41933052632 47174684211 62899578948 83866105264 94349368422 99591000001 125799157896 188698736844 199182000002 251598315792 298773000003 377397473688 398364000004 597546000006 754794947376 796728000008 896319000009 1195092000012 1593456000016 1792638000018 2390184000024 3585276000036 4780368000048 7170552000072 14341104000144