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1422102144304 = 241729476176217
BaseRepresentation
bin10100101100011011111…
…001001010010100110000
312000221200202002001121001
4110230123321022110300
5141244431122104204
63005145452211344
7204513005531362
oct24543371122460
95027622061531
101422102144304
114a912364a456
121ab743169b54
13a414697067a
144cb89b78d32
1526ed37184a4
hex14b1be4a530

1422102144304 has 160 divisors (see below), whose sum is σ = 3087705588480. Its totient is φ = 631273488384.

The previous prime is 1422102144283. The next prime is 1422102144319. The reversal of 1422102144304 is 4034412012241.

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, 228741004 + ... + 228747220.

It is an arithmetic number, because the mean of its divisors is an integer number (19298159928).

Almost surely, 21422102144304 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 1422102144304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1543852794240).

1422102144304 is an abundant number, since it is smaller than the sum of its proper divisors (1665603444176).

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

1422102144304 is a wasteful number, since it uses less digits than its factorization.

1422102144304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6935 (or 6929 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 28.

Adding to 1422102144304 its reverse (4034412012241), we get a palindrome (5456514156545).

The spelling of 1422102144304 in words is "one trillion, four hundred twenty-two billion, one hundred two million, one hundred forty-four thousand, three hundred four".

Divisors: 1 2 4 8 16 17 29 34 47 58 68 94 116 136 188 232 272 376 464 493 617 752 799 986 1234 1363 1598 1972 2468 2726 3196 3944 4936 5452 6217 6392 7888 9872 10489 10904 12434 12784 17893 20978 21808 23171 24868 28999 35786 41956 46342 49736 57998 71572 83912 92684 99472 105689 115996 143144 167824 180293 185368 211378 231992 286288 292199 304181 360586 370736 422756 463984 492983 584398 608362 721172 840971 845512 985966 1168796 1216724 1442344 1681942 1691024 1971932 2337592 2433448 2884688 3064981 3363884 3835889 3943864 4675184 4866896 4967383 6129962 6727768 7671778 7887728 8473771 9934766 12259924 13455536 14296507 15343556 16947542 19869532 24519848 28593014 30687112 33895084 39739064 49039696 57186028 61374224 65210113 67790168 79478128 111240781 114372056 130420226 135580336 144054107 180286783 222481562 228744112 260840452 288108214 360573566 444963124 521680904 576216428 721147132 889926248 1043361808 1152432856 1442294264 1779852496 1891093277 2304865712 2884588528 3064875311 3782186554 5228316707 6129750622 7564373108 10456633414 12259501244 15128746216 20913266828 24519002488 30257492432 41826533656 49038004976 83653067312 88881384019 177762768038 355525536076 711051072152 1422102144304