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45014300149470 = 23531477369139753
BaseRepresentation
bin10100011110000101101010…
…10111101100011011011110
312220101022202222021222222020
422033002311113230123132
521400003241314240340
6235423141202401010
712324114215055561
oct1217026527543336
9186338688258866
1045014300149470
1113385503a06583
1250700a6060166
131c16aa41bb722
14b189bd14a4d8
15530dd2aae9d0
hex28f0b55ec6de

45014300149470 has 128 divisors (see below), whose sum is σ = 113908320092160. Its totient is φ = 11367807805440.

The previous prime is 45014300149453. The next prime is 45014300149477. The reversal of 45014300149470 is 7494100341054.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45014300149477) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 322029114 + ... + 322168866.

It is an arithmetic number, because the mean of its divisors is an integer number (889908750720).

Almost surely, 245014300149470 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45014300149470, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56954160046080).

45014300149470 is an abundant number, since it is smaller than the sum of its proper divisors (68894019942690).

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

45014300149470 is a wasteful number, since it uses less digits than its factorization.

45014300149470 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147210.

The product of its (nonzero) digits is 241920, while the sum is 42.

The spelling of 45014300149470 in words is "forty-five trillion, fourteen billion, three hundred million, one hundred forty-nine thousand, four hundred seventy".

Divisors: 1 2 3 5 6 10 15 30 31 47 62 93 94 141 155 186 235 282 310 465 470 705 930 1410 1457 2914 4371 7285 7369 8742 14570 14738 21855 22107 36845 43710 44214 73690 110535 139753 221070 228439 279506 346343 419259 456878 685317 692686 698765 838518 1039029 1142195 1370634 1397530 1731715 2078058 2096295 2284390 3426585 3463430 4192590 4332343 5195145 6568391 6853170 8664686 10390290 10736633 12997029 13136782 19705173 21473266 21661715 25994058 32209899 32841955 39410346 43323430 53683165 64419798 64985145 65683910 98525865 107366330 129970290 161049495 197051730 203620121 322098990 407240242 610860363 1018100605 1029839857 1221720726 2036201210 2059679714 3054301815 3089519571 5149199285 6108603630 6179039142 10298398570 15447597855 30895195710 31925035567 48402473279 63850071134 95775106701 96804946558 145207419837 159625177835 191550213402 242012366395 290414839674 319250355670 478875533505 484024732790 726037099185 957751067010 1452074198370 1500476671649 3000953343298 4501430014947 7502383358245 9002860029894 15004766716490 22507150074735 45014300149470