Search a number
-
+
14552120000 = 26541133073
BaseRepresentation
bin11011000110101111…
…11011101011000000
31101120011101021211102
431203113323223000
5214300320320000
610403554233532
71023420656555
oct154327735300
941504337742
1014552120000
116198324160
1229a15858a8
1314abb122c2
149c0958a2c
155a28443d5
hex3635fbac0

14552120000 has 140 divisors (see below), whose sum is σ = 39366130056. Its totient is φ = 5291520000.

The previous prime is 14552119997. The next prime is 14552120053. The reversal of 14552120000 is 2125541.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 423464 + ... + 456536.

Almost surely, 214552120000 is an apocalyptic number.

14552120000 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 14552120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19683065028).

14552120000 is an abundant number, since it is smaller than the sum of its proper divisors (24814010056).

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

14552120000 is an equidigital number, since it uses as much as digits as its factorization.

14552120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33116 (or 33091 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 20.

Adding to 14552120000 its reverse (2125541), we get a palindrome (14554245541).

The spelling of 14552120000 in words is "fourteen billion, five hundred fifty-two million, one hundred twenty thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 32 40 44 50 55 64 80 88 100 110 125 160 176 200 220 250 275 320 352 400 440 500 550 625 704 800 880 1000 1100 1250 1375 1600 1760 2000 2200 2500 2750 3520 4000 4400 5000 5500 6875 8000 8800 10000 11000 13750 17600 20000 22000 27500 33073 40000 44000 55000 66146 88000 110000 132292 165365 220000 264584 330730 363803 440000 529168 661460 727606 826825 1058336 1322920 1455212 1653650 1819015 2116672 2645840 2910424 3307300 3638030 4134125 5291680 5820848 6614600 7276060 8268250 9095075 10583360 11641696 13229200 14552120 16536500 18190150 20670625 23283392 26458400 29104240 33073000 36380300 41341250 45475375 52916800 58208480 66146000 72760600 82682500 90950750 116416960 132292000 145521200 165365000 181901500 227376875 264584000 291042400 330730000 363803000 454753750 582084800 661460000 727606000 909507500 1322920000 1455212000 1819015000 2910424000 3638030000 7276060000 14552120000