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145446323160 = 233519617103391
BaseRepresentation
bin1000011101110101000…
…1101100001111011000
3111220102101220202120210
42013131101230033120
54340333224320120
6150452255251120
713336203230325
oct2073521541730
9456371822523
10145446323160
1156757726366
1224231819aa0
131093c030b18
14707aab1b4c
153bb3e3bce0
hex21dd46c3d8

145446323160 has 128 divisors (see below), whose sum is σ = 460053043200. Its totient is φ = 36684426240.

The previous prime is 145446323131. The next prime is 145446323171. The reversal of 145446323160 is 61323644541.

145446323160 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 31 ways as a sum of consecutive naturals, for example, 1355065 + ... + 1458455.

It is an arithmetic number, because the mean of its divisors is an integer number (3594164400).

Almost surely, 2145446323160 is an apocalyptic number.

145446323160 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 145446323160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230026521600).

145446323160 is an abundant number, since it is smaller than the sum of its proper divisors (314606720040).

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

145446323160 is a wasteful number, since it uses less digits than its factorization.

145446323160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104041 (or 104037 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 39.

The spelling of 145446323160 in words is "one hundred forty-five billion, four hundred forty-six million, three hundred twenty-three thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 19 20 24 30 38 40 57 60 76 95 114 120 152 190 228 285 380 456 570 617 760 1140 1234 1851 2280 2468 3085 3702 4936 6170 7404 9255 11723 12340 14808 18510 23446 24680 35169 37020 46892 58615 70338 74040 93784 103391 117230 140676 175845 206782 234460 281352 310173 351690 413564 468920 516955 620346 703380 827128 1033910 1240692 1406760 1550865 1964429 2067820 2481384 3101730 3928858 4135640 5893287 6203460 7857716 9822145 11786574 12406920 15715432 19644290 23573148 29466435 39288580 47146296 58932870 63792247 78577160 117865740 127584494 191376741 235731480 255168988 318961235 382753482 510337976 637922470 765506964 956883705 1212052693 1275844940 1531013928 1913767410 2424105386 2551689880 3636158079 3827534820 4848210772 6060263465 7272316158 7655069640 9696421544 12120526930 14544632316 18180790395 24241053860 29089264632 36361580790 48482107720 72723161580 145446323160