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14035050000144 = 24371257731891
BaseRepresentation
bin1100110000111100101000…
…1010110110111100010000
31211200201220202200110000000
43030033022022312330100
53314422240300001034
645503340222130000
72645666423421645
oct314171212667420
954621822613000
1014035050000144
11452125a917558
1216a8105a20900
137aa6656330c4
1436742b471dcc
1519513d058599
hexcc3ca2b6f10

14035050000144 has 160 divisors (see below), whose sum is σ = 40787668727680. Its totient is φ = 4677831336960.

The previous prime is 14035050000131. The next prime is 14035050000151. The reversal of 14035050000144 is 44100005053041.

It is a happy number.

14035050000144 is a `hidden beast` number, since 14 + 0 + 3 + 5 + 0 + 500 + 0 + 0 + 144 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 440078439 + ... + 440110329.

It is an arithmetic number, because the mean of its divisors is an integer number (254922929548).

Almost surely, 214035050000144 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 14035050000144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20393834363840).

14035050000144 is an abundant number, since it is smaller than the sum of its proper divisors (26752618727536).

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

14035050000144 is an equidigital number, since it uses as much as digits as its factorization.

14035050000144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44497 (or 44473 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

Adding to 14035050000144 its reverse (44100005053041), we get a palindrome (58135055053185).

The spelling of 14035050000144 in words is "fourteen trillion, thirty-five billion, fifty million, one hundred forty-four", and thus it is an aban number.

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 243 324 432 486 648 729 972 1296 1458 1944 2187 2916 3888 4374 5832 8748 11664 12577 17496 25154 31891 34992 37731 50308 63782 75462 95673 100616 113193 127564 150924 191346 201232 226386 255128 287019 301848 339579 382692 452772 510256 574038 603696 679158 765384 861057 905544 1018737 1148076 1358316 1530768 1722114 1811088 2037474 2296152 2583171 2716632 3056211 3444228 4074948 4592304 5166342 5433264 6112422 6888456 7749513 8149896 9168633 10332684 12224844 13776912 15499026 16299792 18337266 20665368 23248539 24449688 27505899 30998052 36674532 41330736 46497078 48899376 55011798 61996104 69745617 73349064 92994156 110023596 123992208 139491234 146698128 185988312 220047192 278982468 371976624 401093107 440094384 557964936 802186214 1115929872 1203279321 1604372428 2406558642 3208744856 3609837963 4813117284 6417489712 7219675926 9626234568 10829513889 14439351852 19252469136 21659027778 28878703704 32488541667 43318055556 57757407408 64977083334 86636111112 97465625001 129954166668 173272222224 194931250002 259908333336 292396875003 389862500004 519816666672 584793750006 779725000008 877190625009 1169587500012 1559450000016 1754381250018 2339175000024 3508762500036 4678350000048 7017525000072 14035050000144