Search a number
-
+
20445414000 = 2435311309779
BaseRepresentation
bin10011000010101001…
…000100001001110000
31221202212122122101120
4103002221010021300
5313333011222000
613220440102240
71322441102664
oct230251041160
957685578346
1020445414000
1187419a3170
123b67164980
131c0aa5a10b
14dbd50c8a4
157e9e006a0
hex4c2a44270

20445414000 has 160 divisors (see below), whose sum is σ = 71908611840. Its totient is φ = 4956448000.

The previous prime is 20445413969. The next prime is 20445414001. The reversal of 20445414000 is 41454402.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20445414001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 88890 + ... + 220889.

It is an arithmetic number, because the mean of its divisors is an integer number (449428824).

Almost surely, 220445414000 is an apocalyptic number.

20445414000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20445414000 is an abundant number, since it is smaller than the sum of its proper divisors (51463197840).

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

20445414000 is a wasteful number, since it uses less digits than its factorization.

20445414000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 309816 (or 309800 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 24.

Adding to 20445414000 its reverse (41454402), we get a palindrome (20486868402).

The spelling of 20445414000 in words is "twenty billion, four hundred forty-five million, four hundred fourteen thousand".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 25 30 33 40 44 48 50 55 60 66 75 80 88 100 110 120 125 132 150 165 176 200 220 240 250 264 275 300 330 375 400 440 500 528 550 600 660 750 825 880 1000 1100 1200 1320 1375 1500 1650 2000 2200 2640 2750 3000 3300 4125 4400 5500 6000 6600 8250 11000 13200 16500 22000 33000 66000 309779 619558 929337 1239116 1548895 1858674 2478232 3097790 3407569 3717348 4646685 4956464 6195580 6815138 7434696 7744475 9293370 10222707 12391160 13630276 14869392 15488950 17037845 18586740 20445414 23233425 24782320 27260552 30977900 34075690 37173480 38722375 40890828 46466850 51113535 54521104 61955800 68151380 74346960 77444750 81781656 85189225 92933700 102227070 116167125 123911600 136302760 154889500 163563312 170378450 185867400 204454140 232334250 255567675 272605520 309779000 340756900 371734800 408908280 425946125 464668500 511135350 619558000 681513800 817816560 851892250 929337000 1022270700 1277838375 1363027600 1703784500 1858674000 2044541400 2555676750 3407569000 4089082800 5111353500 6815138000 10222707000 20445414000