Search a number
-
+
398991233322032 = 241323123320428621
BaseRepresentation
bin101101010111000010110001…
…0101110110000110000110000
31221022201012010001210022022012
41122232011202232300300300
5404244033021212301112
63532330013040102052
7150020110465432361
oct13256054256606060
91838635101708265
10398991233322032
111061492605918aa
12388bb210904928
1314182933c55300
1470753c8ba3b68
15311da26e28022
hex16ae162bb0c30

398991233322032 has 120 divisors (see below), whose sum is σ = 867796095673728. Its totient is φ = 177444627609600.

The previous prime is 398991233322023. The next prime is 398991233322041. The reversal of 398991233322032 is 230223332199893.

It is an interprime number because it is at equal distance from previous prime (398991233322023) and next prime (398991233322041).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9316682 + ... + 29745302.

Almost surely, 2398991233322032 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 398991233322032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (433898047836864).

398991233322032 is an abundant number, since it is smaller than the sum of its proper divisors (468804862351696).

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

398991233322032 is a wasteful number, since it uses less digits than its factorization.

398991233322032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20428919 (or 20428900 counting only the distinct ones).

The product of its (nonzero) digits is 22674816, while the sum is 59.

The spelling of 398991233322032 in words is "three hundred ninety-eight trillion, nine hundred ninety-one billion, two hundred thirty-three million, three hundred twenty-two thousand, thirty-two".

Divisors: 1 2 4 8 13 16 26 31 52 62 104 124 169 208 233 248 338 403 466 496 676 806 932 1352 1612 1864 2704 3029 3224 3728 5239 6058 6448 7223 10478 12116 14446 20956 24232 28892 39377 41912 48464 57784 78754 83824 93899 115568 157508 187798 315016 375596 630032 751192 1220687 1502384 2441374 4882748 9765496 19530992 20428621 40857242 81714484 163428968 265572073 326857936 531144146 633287251 1062288292 1266574502 2124576584 2533149004 3452436949 4249153168 4759868693 5066298008 6904873898 8232734263 9519737386 10132596016 13809747796 16465468526 19039474772 27619495592 32930937052 38078949544 55238991184 61878293009 65861874104 76157899088 107025545419 123756586018 131723748208 147555929483 214051090838 247513172036 295111858966 428102181676 495026344072 590223717932 804417809117 856204363352 990052688144 1180447435864 1608835618234 1712408726704 1918227083279 2360894871728 3217671236468 3836454166558 6435342472936 7672908333116 12870684945872 15345816666232 24936952082627 30691633332464 49873904165254 99747808330508 199495616661016 398991233322032