Search a number
-
+
1470101325042 = 23736116371843
BaseRepresentation
bin10101011001001000110…
…111100000010011110010
312012112120220000002011210
4111121020313200103302
5143041231414400132
63043204421220550
7211132324041000
oct25311067402362
95175526002153
101470101325042
11517514966369
121b8ab9b61756
13a882603a16c
1451220879a70
15283925d7bcc
hex15648de04f2

1470101325042 has 128 divisors (see below), whose sum is σ = 3506447001600. Its totient is φ = 410602893120.

The previous prime is 1470101325041. The next prime is 1470101325071. The reversal of 1470101325042 is 2405231010741.

It is a super-2 number, since 2×14701013250422 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1470101325041) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 20426773 + ... + 20498615.

It is an arithmetic number, because the mean of its divisors is an integer number (27394117200).

Almost surely, 21470101325042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1470101325042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1753223500800).

1470101325042 is an abundant number, since it is smaller than the sum of its proper divisors (2036345676558).

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

1470101325042 is a wasteful number, since it uses less digits than its factorization.

1470101325042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72093 (or 72079 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 30.

Adding to 1470101325042 its reverse (2405231010741), we get a palindrome (3875332335783).

The spelling of 1470101325042 in words is "one trillion, four hundred seventy billion, one hundred one million, three hundred twenty-five thousand, forty-two".

Divisors: 1 2 3 6 7 14 21 42 49 61 98 122 147 163 183 294 326 343 366 427 489 686 854 978 1029 1141 1281 2058 2282 2562 2989 3423 5978 6846 7987 8967 9943 15974 17934 19886 20923 23961 29829 41846 47922 55909 59658 62769 69601 71843 111818 125538 139202 143686 167727 208803 215529 335454 417606 431058 487207 502901 974414 1005802 1461621 1508703 2923242 3017406 3410449 3520307 4382423 6820898 7040614 8764846 10231347 10560921 11710409 13147269 20462694 21121842 23420818 24642149 26294538 30676961 35131227 49284298 61353922 70262454 73926447 81972863 92030883 147852894 163945726 184061766 214738727 245918589 429477454 491837178 573810041 644216181 714334949 1147620082 1288432362 1428669898 1503171089 1721430123 2143004847 3006342178 3442860246 4016670287 4286009694 4509513267 5000344643 8033340574 9019026534 10000689286 12050010861 15001033929 24100021722 30002067858 35002412501 70004825002 105007237503 210014475006 245016887507 490033775014 735050662521 1470101325042