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414031102023 = 37311101336109
BaseRepresentation
bin1100000011001100010…
…11010100000001000111
31110120200112120012112010
412001212023110001013
523240413430231043
6514111523225303
741625035205000
oct6014613240107
91416615505463
10414031102023
1114a653843a90
12682aa218233
1330073519986
14160798541a7
15ab83622133
hex60662d4047

414031102023 has 64 divisors (see below), whose sum is σ = 703018368000. Its totient is φ = 214862820480.

The previous prime is 414031102013. The next prime is 414031102039. The reversal of 414031102023 is 320201130414.

It is not a de Polignac number, because 414031102023 - 24 = 414031102007 is a prime.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (414031102013) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11448093 + ... + 11484201.

It is an arithmetic number, because the mean of its divisors is an integer number (10984662000).

Almost surely, 2414031102023 is an apocalyptic number.

414031102023 is a deficient number, since it is larger than the sum of its proper divisors (288987265977).

414031102023 is a wasteful number, since it uses less digits than its factorization.

414031102023 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37157 (or 37143 counting only the distinct ones).

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

Adding to 414031102023 its reverse (320201130414), we get a palindrome (734232232437).

The spelling of 414031102023 in words is "four hundred fourteen billion, thirty-one million, one hundred two thousand, twenty-three".

Divisors: 1 3 7 11 21 33 49 77 147 231 343 539 1013 1029 1617 3039 3773 7091 11143 11319 21273 33429 36109 49637 78001 108327 148911 234003 252763 347459 397199 546007 758289 1042377 1191597 1638021 1769341 2780393 3822049 5308023 8341179 11466147 12385387 19462751 36578417 37156161 58388253 109735251 136239257 256048919 402362587 408717771 768146757 1207087761 1792342433 2816538109 5377027299 8449614327 12546397031 19715766763 37639191093 59147300289 138010367341 414031102023