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14205419520 = 2153528901
BaseRepresentation
bin11010011101011010…
…11000000000000000
31100200000000002011220
431032231120000000
5213043041411040
610305331235040
71012011034155
oct151655300000
940600002156
1014205419520
11602a652a36
122905448a80
131455042ba6
1498a8aa22c
155821ad2d0
hex34eb58000

14205419520 has 128 divisors (see below), whose sum is σ = 45458221680. Its totient is φ = 3787980800.

The previous prime is 14205419489. The next prime is 14205419573. The reversal of 14205419520 is 2591450241.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 477070 + ... + 505970.

Almost surely, 214205419520 is an apocalyptic number.

14205419520 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 14205419520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22729110840).

14205419520 is an abundant number, since it is smaller than the sum of its proper divisors (31252802160).

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

14205419520 is an frugal number, since it uses more digits than its factorization.

14205419520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28939 (or 28911 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 33.

Adding to 14205419520 its reverse (2591450241), we get a palindrome (16796869761).

The spelling of 14205419520 in words is "fourteen billion, two hundred five million, four hundred nineteen thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 256 320 384 480 512 640 768 960 1024 1280 1536 1920 2048 2560 3072 3840 4096 5120 6144 7680 8192 10240 12288 15360 16384 20480 24576 28901 30720 32768 40960 49152 57802 61440 81920 86703 98304 115604 122880 144505 163840 173406 231208 245760 289010 346812 433515 462416 491520 578020 693624 867030 924832 1156040 1387248 1734060 1849664 2312080 2774496 3468120 3699328 4624160 5548992 6936240 7398656 9248320 11097984 13872480 14797312 18496640 22195968 27744960 29594624 36993280 44391936 55489920 59189248 73986560 88783872 110979840 118378496 147973120 177567744 221959680 236756992 295946240 355135488 443919360 473513984 591892480 710270976 887838720 947027968 1183784960 1420541952 1775677440 2367569920 2841083904 3551354880 4735139840 7102709760 14205419520