Search a number
-
+
145512240000 = 27354606301
BaseRepresentation
bin1000011110000100110…
…1001001001110000000
3111220120222221200111020
42013201031021032000
54341002113140000
6150503012145440
713340633426601
oct2074115111600
9456528850436
10145512240000
1156790958696
122424b908280
131094c89cc7a
14708574dda8
153bb9b0cba0
hex21e1349380

145512240000 has 160 divisors (see below), whose sum is σ = 482992299240. Its totient is φ = 38803200000.

The previous prime is 145512239969. The next prime is 145512240017. The reversal of 145512240000 is 42215541.

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 63151 + ... + 543150.

Almost surely, 2145512240000 is an apocalyptic number.

145512240000 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 145512240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241496149620).

145512240000 is an abundant number, since it is smaller than the sum of its proper divisors (337480059240).

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

145512240000 is an frugal number, since it uses more digits than its factorization.

145512240000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 606338 (or 606311 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 24.

Adding to 145512240000 its reverse (42215541), we get a palindrome (145554455541).

The spelling of 145512240000 in words is "one hundred forty-five billion, five hundred twelve million, two hundred forty thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 64 75 80 96 100 120 125 128 150 160 192 200 240 250 300 320 375 384 400 480 500 600 625 640 750 800 960 1000 1200 1250 1500 1600 1875 1920 2000 2400 2500 3000 3200 3750 4000 4800 5000 6000 7500 8000 9600 10000 12000 15000 16000 20000 24000 30000 40000 48000 60000 80000 120000 240000 606301 1212602 1818903 2425204 3031505 3637806 4850408 6063010 7275612 9094515 9700816 12126020 14551224 15157525 18189030 19401632 24252040 29102448 30315050 36378060 38803264 45472575 48504080 58204896 60630100 72756120 75787625 77606528 90945150 97008160 116409792 121260200 145512240 151575250 181890300 194016320 227362875 232819584 242520400 291024480 303150500 363780600 378938125 388032640 454725750 485040800 582048960 606301000 727561200 757876250 909451500 970081600 1136814375 1164097920 1212602000 1455122400 1515752500 1818903000 1940163200 2273628750 2425204000 2910244800 3031505000 3637806000 4547257500 4850408000 5820489600 6063010000 7275612000 9094515000 9700816000 12126020000 14551224000 18189030000 24252040000 29102448000 36378060000 48504080000 72756120000 145512240000