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1307731169412 = 223461511312941
BaseRepresentation
bin10011000001111010110…
…110100001000010000100
311122000111000220112220000
4103001322312201002010
5132411213134410122
62440432521241300
7163323540351033
oct23017266410204
94560430815800
101307731169412
114646731751a8
12191544633230
139641aa33ab5
144741a27471a
152403ca1c0ac
hex1307ada1084

1307731169412 has 120 divisors (see below), whose sum is σ = 3475659465432. Its totient is φ = 428647334400.

The previous prime is 1307731169291. The next prime is 1307731169467. The reversal of 1307731169412 is 2149611377031.

1307731169412 is a `hidden beast` number, since 1 + 3 + 0 + 7 + 73 + 1 + 169 + 412 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 18016619076 + 1289714550336 = 134226^2 + 1135656^2 .

It is a super-2 number, since 2×13077311694122 (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 101046862 + ... + 101059802.

Almost surely, 21307731169412 is an apocalyptic number.

1307731169412 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1307731169412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1737829732716).

1307731169412 is an abundant number, since it is smaller than the sum of its proper divisors (2167928296020).

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

1307731169412 is a wasteful number, since it uses less digits than its factorization.

1307731169412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18131 (or 18120 counting only the distinct ones).

The product of its (nonzero) digits is 190512, while the sum is 45.

The spelling of 1307731169412 in words is "one trillion, three hundred seven billion, seven hundred thirty-one million, one hundred sixty-nine thousand, four hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 61 81 108 122 162 183 244 324 366 549 732 1098 1647 2196 3294 4941 5113 6588 9882 10226 12941 15339 19764 20452 25882 30678 38823 46017 51764 61356 77646 92034 116469 138051 155292 184068 232938 276102 311893 349407 414153 465876 552204 623786 698814 789401 828306 935679 1048221 1247572 1397628 1578802 1656612 1871358 2096442 2368203 2807037 3157604 3742716 4192884 4736406 5614074 7104609 8421111 9472812 11228148 14209218 16842222 21313827 25263333 28418436 33684444 42627654 50526666 63941481 66167333 85255308 101053332 127882962 132334666 198501999 255765924 264669332 397003998 595505997 794007996 1191011994 1786517991 2382023988 3573035982 4036207313 5359553973 7146071964 8072414626 10719107946 12108621939 16144829252 21438215892 24217243878 36325865817 48434487756 72651731634 108977597451 145303463268 217955194902 326932792353 435910389804 653865584706 1307731169412