Search a number
-
+
1445143920 = 2435114991097
BaseRepresentation
bin101011000100011…
…0010010101110000
310201201021220202220
41112020302111300
510424424101140
6355222241040
750545343403
oct12610622560
93651256686
101445143920
11681823020
12343b86180
131a052675c
14d9d03d3a
1586d10bd0
hex56232570

1445143920 has 160 divisors (see below), whose sum is σ = 4901472000. Its totient is φ = 349317120.

The previous prime is 1445143913. The next prime is 1445143937. The reversal of 1445143920 is 293415441.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1316812 + ... + 1317908.

It is an arithmetic number, because the mean of its divisors is an integer number (30634200).

Almost surely, 21445143920 is an apocalyptic number.

1445143920 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 1445143920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2450736000).

1445143920 is an abundant number, since it is smaller than the sum of its proper divisors (3456328080).

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

1445143920 is a wasteful number, since it uses less digits than its factorization.

1445143920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1623 (or 1617 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

The square root of 1445143920 is about 38015.0485992061. The cubic root of 1445143920 is about 1130.5862517779.

The spelling of 1445143920 in words is "one billion, four hundred forty-five million, one hundred forty-three thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 33 40 44 48 55 60 66 80 88 110 120 132 165 176 220 240 264 330 440 499 528 660 880 998 1097 1320 1497 1996 2194 2495 2640 2994 3291 3992 4388 4990 5485 5489 5988 6582 7485 7984 8776 9980 10970 10978 11976 12067 13164 14970 16455 16467 17552 19960 21940 21956 23952 24134 26328 27445 29940 32910 32934 36201 39920 43880 43912 48268 52656 54890 59880 60335 65820 65868 72402 82335 87760 87824 96536 109780 119760 120670 131640 131736 144804 164670 181005 193072 219560 241340 263280 263472 289608 329340 362010 439120 482680 547403 579216 658680 724020 965360 1094806 1317360 1448040 1642209 2189612 2737015 2896080 3284418 4379224 5474030 6021433 6568836 8211045 8758448 10948060 12042866 13137672 16422090 18064299 21896120 24085732 26275344 30107165 32844180 36128598 43792240 48171464 60214330 65688360 72257196 90321495 96342928 120428660 131376720 144514392 180642990 240857320 289028784 361285980 481714640 722571960 1445143920