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10414311375 = 353133757737
BaseRepresentation
bin10011011001011110…
…11100011111001111
3222212210100211111010
421230233130133033
5132312030431000
64441222500303
7516035120556
oct115457343717
928783324433
1010414311375
114464675306
122027894693
13c9c79cb30
1470b1b0d9d
1540e44bd50
hex26cbdc7cf

10414311375 has 64 divisors (see below), whose sum is σ = 19167168384. Its totient is φ = 4988390400.

The previous prime is 10414311329. The next prime is 10414311409. The reversal of 10414311375 is 57311341401.

It is not a de Polignac number, because 10414311375 - 210 = 10414310351 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 151507 + ... + 209243.

It is an arithmetic number, because the mean of its divisors is an integer number (299487006).

Almost surely, 210414311375 is an apocalyptic number.

10414311375 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

10414311375 is a deficient number, since it is larger than the sum of its proper divisors (8752857009).

10414311375 is a wasteful number, since it uses less digits than its factorization.

10414311375 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57805 (or 57795 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 30.

Adding to 10414311375 its reverse (57311341401), we get a palindrome (67725652776).

The spelling of 10414311375 in words is "ten billion, four hundred fourteen million, three hundred eleven thousand, three hundred seventy-five".

Divisors: 1 3 5 13 15 25 37 39 65 75 111 125 185 195 325 375 481 555 925 975 1443 1625 2405 2775 4625 4875 7215 12025 13875 36075 57737 60125 173211 180375 288685 750581 866055 1443425 2136269 2251743 3752905 4330275 6408807 7217125 10681345 11258715 18764525 21651375 27771497 32044035 53406725 56293575 83314491 93822625 138857485 160220175 267033625 281467875 416572455 694287425 801100875 2082862275 3471437125 10414311375