Search a number
-
+
145455978240 = 2832512626387
BaseRepresentation
bin1000011101110111011…
…0100001011100000000
3111220110002002021212100
42013131312201130000
54340343212300430
6150453242230400
713336351262256
oct2073566413400
9456402067770
10145455978240
1156762120371
1224234ab5400
13109410316a1
14707c0a65d6
153bb4be7960
hex21ddda1700

145455978240 has 108 divisors (see below), whose sum is σ = 503262572904. Its totient is φ = 38788257792.

The previous prime is 145455978229. The next prime is 145455978251. The reversal of 145455978240 is 42879554541.

145455978240 is a `hidden beast` number, since 1 + 4 + 5 + 4 + 5 + 597 + 8 + 2 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (145455978229) and next prime (145455978251).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6301674 + ... + 6324713.

It is an arithmetic number, because the mean of its divisors is an integer number (4659838638).

Almost surely, 2145455978240 is an apocalyptic number.

145455978240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

145455978240 is an abundant number, since it is smaller than the sum of its proper divisors (357806594664).

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

145455978240 is a wasteful number, since it uses less digits than its factorization.

145455978240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12626414 (or 12626397 counting only the distinct ones).

The product of its (nonzero) digits is 8064000, while the sum is 54.

The spelling of 145455978240 in words is "one hundred forty-five billion, four hundred fifty-five million, nine hundred seventy-eight thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 128 144 160 180 192 240 256 288 320 360 384 480 576 640 720 768 960 1152 1280 1440 1920 2304 2880 3840 5760 11520 12626387 25252774 37879161 50505548 63131935 75758322 101011096 113637483 126263870 151516644 189395805 202022192 227274966 252527740 303033288 378791610 404044384 454549932 505055480 568187415 606066576 757583220 808088768 909099864 1010110960 1136374830 1212133152 1515166440 1616177536 1818199728 2020221920 2272749660 2424266304 3030332880 3232355072 3636399456 4040443840 4545499320 4848532608 6060665760 7272798912 8080887680 9090998640 9697065216 12121331520 14545597824 16161775360 18181997280 24242663040 29091195648 36363994560 48485326080 72727989120 145455978240