Search a number
-
+
45321141031424 = 293759401101119
BaseRepresentation
bin10100100111000001001101…
…00000110001001000000000
312221110122210020112211120122
422103200212200301020000
521420020144101001144
6240220124511355412
712355226060403416
oct1223404640611000
9187418706484518
1045321141031424
1113493651657725
1250bb65a522b68
131c399c438107b
14b297aaa292b6
15538d90b067ee
hex293826831200

45321141031424 has 160 divisors (see below), whose sum is σ = 94814245785600. Its totient is φ = 21620160921600.

The previous prime is 45321141031409. The next prime is 45321141031451. The reversal of 45321141031424 is 42413014112354.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 448145537 + ... + 448246655.

It is an arithmetic number, because the mean of its divisors is an integer number (592589036160).

Almost surely, 245321141031424 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 45321141031424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47407122892800).

45321141031424 is an abundant number, since it is smaller than the sum of its proper divisors (49493104754176).

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

45321141031424 is a wasteful number, since it uses less digits than its factorization.

45321141031424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101634 (or 101618 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 35.

Adding to 45321141031424 its reverse (42413014112354), we get a palindrome (87734155143778).

The spelling of 45321141031424 in words is "forty-five trillion, three hundred twenty-one billion, one hundred forty-one million, thirty-one thousand, four hundred twenty-four".

Divisors: 1 2 4 8 16 32 37 59 64 74 118 128 148 236 256 296 401 472 512 592 802 944 1184 1604 1888 2183 2368 3208 3776 4366 4736 6416 7552 8732 9472 12832 14837 15104 17464 18944 23659 25664 29674 30208 34928 47318 51328 59348 69856 94636 101119 102656 118696 139712 189272 202238 205312 237392 279424 378544 404476 474784 558848 757088 808952 875383 949568 1117696 1514176 1617904 1750766 1899136 3028352 3235808 3501532 3741403 3798272 5966021 6056704 6471616 7003064 7482806 7596544 11932042 12113408 12943232 14006128 14965612 23864084 25886464 28012256 29931224 40548719 47728168 51772928 56024512 59862448 81097438 95456336 112049024 119724896 162194876 190912672 220742777 224098048 239449792 324389752 381825344 441485554 448196096 478899584 648779504 763650688 882971108 957799168 1297559008 1500302603 1527301376 1765942216 1915598336 2392374421 2595118016 3000605206 3054602752 3531884432 4784748842 5190236032 6001210412 7063768864 9569497684 10380472064 12002420824 14127537728 19138995368 20760944128 24004841648 28255075456 38277990736 48009683296 56510150912 76555981472 88517853577 96019366592 113020301824 153111962944 177035707154 192038733184 306223925888 354071414308 384077466368 612447851776 708142828616 768154932736 1224895703552 1416285657232 2832571314464 5665142628928 11330285257856 22660570515712 45321141031424