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1040312020314 = 237435571034167
BaseRepresentation
bin11110010001101110110…
…11011010110101011010
310200110020010121020101110
433020313123122311122
5114021024334122224
62113525053001150
7135105621162030
oct17106733326532
93613203536343
101040312020314
11371215018466
121497524831b6
1377140b971b8
14384cc236550
151c0da833929
hexf2376dad5a

1040312020314 has 64 divisors (see below), whose sum is σ = 2437525702656. Its totient is φ = 289798133184.

The previous prime is 1040312020309. The next prime is 1040312020387. The reversal of 1040312020314 is 4130202130401.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 488859 + ... + 1523025.

It is an arithmetic number, because the mean of its divisors is an integer number (38086339104).

Almost surely, 21040312020314 is an apocalyptic number.

1040312020314 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1040312020314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1218762851328).

1040312020314 is an abundant number, since it is smaller than the sum of its proper divisors (1397213682342).

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

1040312020314 is a wasteful number, since it uses less digits than its factorization.

1040312020314 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1034779.

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 1040312020314 its reverse (4130202130401), we get a palindrome (5170514150715).

The spelling of 1040312020314 in words is "one trillion, forty billion, three hundred twelve million, twenty thousand, three hundred fourteen".

Divisors: 1 2 3 6 7 14 21 42 43 86 129 258 301 557 602 903 1114 1671 1806 3342 3899 7798 11697 23394 23951 47902 71853 143706 167657 335314 502971 1005942 1034167 2068334 3102501 6205002 7239169 14478338 21717507 43435014 44469181 88938362 133407543 266815086 311284267 576031019 622568534 933852801 1152062038 1728093057 1867705602 3456186114 4032217133 8064434266 12096651399 24193302798 24769333817 49538667634 74308001451 148616002902 173385336719 346770673438 520156010157 1040312020314