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43146345152 = 2653731631069
BaseRepresentation
bin101000001011101110…
…001111101011000000
311010100221110102122102
4220023232033223000
51201330431021102
631453211525532
73055130611511
oct501356175300
9133327412572
1043146345152
1117330a94799
1284417598a8
1340b7b86261
1421343caa08
1511c7d37402
hexa0bb8fac0

43146345152 has 112 divisors (see below), whose sum is σ = 89054696160. Its totient is φ = 20728700928.

The previous prime is 43146345139. The next prime is 43146345227. The reversal of 43146345152 is 25154364134.

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 15 ways as a sum of consecutive naturals, for example, 40360874 + ... + 40361942.

Almost surely, 243146345152 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 43146345152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44527348080).

43146345152 is an abundant number, since it is smaller than the sum of its proper divisors (45908351008).

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

43146345152 is a wasteful number, since it uses less digits than its factorization.

43146345152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1370 (or 1360 counting only the distinct ones).

The product of its digits is 172800, while the sum is 38.

The spelling of 43146345152 in words is "forty-three billion, one hundred forty-six million, three hundred forty-five thousand, one hundred fifty-two".

Divisors: 1 2 4 8 16 32 53 64 73 106 146 163 212 292 326 424 584 652 848 1069 1168 1304 1696 2138 2336 2608 3392 3869 4276 4672 5216 7738 8552 8639 10432 11899 15476 17104 17278 23798 30952 34208 34556 47596 56657 61904 68416 69112 78037 95192 113314 123808 138224 156074 174247 190384 226628 247616 276448 312148 348494 380768 453256 552896 624296 630647 696988 761536 906512 1248592 1261294 1393976 1813024 2497184 2522588 2787952 3626048 4135961 4994368 5045176 5575904 8271922 9235091 10090352 11151808 12720031 16543844 18470182 20180704 25440062 33087688 36940364 40361408 50880124 66175376 73880728 101760248 132350752 147761456 203520496 264701504 295522912 407040992 591045824 674161643 814081984 1348323286 2696646572 5393293144 10786586288 21573172576 43146345152