Search a number
-
+
1445034563790 = 2352371121324317
BaseRepresentation
bin10101000001110010110…
…001011001100011001110
312010010212221110200010220
4111001302301121203032
5142133412322020130
63023501213412210
7206254206062256
oct25016261314316
95103787420126
101445034563790
11507921380654
121b408319a066
13a635ca2a35c
144dd236b4966
15278c6b29410
hex15072c598ce

1445034563790 has 128 divisors (see below), whose sum is σ = 3673015621632. Its totient is φ = 363082621440.

The previous prime is 1445034563789. The next prime is 1445034563821. The reversal of 1445034563790 is 973654305441.

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 59412712 + ... + 59437028.

It is an arithmetic number, because the mean of its divisors is an integer number (28695434544).

Almost surely, 21445034563790 is an apocalyptic number.

1445034563790 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1445034563790, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1836507810816).

1445034563790 is an abundant number, since it is smaller than the sum of its proper divisors (2227981057842).

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

1445034563790 is a wasteful number, since it uses less digits than its factorization.

1445034563790 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25634.

The product of its (nonzero) digits is 5443200, while the sum is 51.

The spelling of 1445034563790 in words is "one trillion, four hundred forty-five billion, thirty-four million, five hundred sixty-three thousand, seven hundred ninety".

Divisors: 1 2 3 5 6 10 15 23 30 46 69 71 115 138 142 213 230 345 355 426 690 710 1065 1213 1633 2130 2426 3266 3639 4899 6065 7278 8165 9798 12130 16330 18195 24317 24495 27899 36390 48634 48990 55798 72951 83697 86123 121585 139495 145902 167394 172246 243170 258369 278990 364755 418485 430615 516738 559291 729510 836970 861230 1118582 1291845 1677873 1726507 1980829 2583690 2796455 3355746 3453014 3961658 5179521 5592910 5942487 8389365 8632535 9904145 10359042 11884974 16778730 17265070 19808290 25897605 29496521 29712435 39709661 51795210 58993042 59424870 79419322 88489563 119128983 147482605 176979126 198548305 238257966 294965210 397096610 442447815 595644915 678419983 884895630 1191289830 1356839966 2035259949 2094252991 3392099915 4070519898 4188505982 6282758973 6784199830 10176299745 10471264955 12565517946 20352599490 20942529910 31413794865 48167818793 62827589730 96335637586 144503456379 240839093965 289006912758 481678187930 722517281895 1445034563790