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14001103935 = 34573137753
BaseRepresentation
bin11010000101000011…
…11110010000111111
31100010202112202220000
431002201332100333
5212133240311220
610233152125343
71003650264000
oct150241762077
940122482800
1014001103935
115a35292685
122868b36853
1314219074b0
1496b6c31a7
1556e2a0390
hex34287e43f

14001103935 has 160 divisors (see below), whose sum is σ = 31524662400. Its totient is φ = 5907396096.

The previous prime is 14001103913. The next prime is 14001103957. The reversal of 14001103935 is 53930110041.

It is an interprime number because it is at equal distance from previous prime (14001103913) and next prime (14001103957).

It is not a de Polignac number, because 14001103935 - 28 = 14001103679 is a prime.

It is a super-2 number, since 2×140011039352 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 14001103899 and 14001103908.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1802019 + ... + 1809771.

It is an arithmetic number, because the mean of its divisors is an integer number (197029140).

Almost surely, 214001103935 is an apocalyptic number.

14001103935 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

14001103935 is an abundant number, since it is smaller than the sum of its proper divisors (17523558465).

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

14001103935 is an equidigital number, since it uses as much as digits as its factorization.

14001103935 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7804 (or 7781 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 27.

Adding to 14001103935 its reverse (53930110041), we get a palindrome (67931213976).

The spelling of 14001103935 in words is "fourteen billion, one million, one hundred three thousand, nine hundred thirty-five".

Divisors: 1 3 5 7 9 13 15 21 27 35 39 45 49 63 65 81 91 105 117 135 147 189 195 245 273 315 343 351 405 441 455 567 585 637 735 819 945 1029 1053 1323 1365 1715 1755 1911 2205 2457 2835 3087 3185 3969 4095 4459 5145 5265 5733 6615 7371 7753 9261 9555 12285 13377 15435 17199 19845 22295 23259 27783 28665 36855 38765 40131 46305 51597 54271 66885 69777 85995 100789 116295 120393 138915 162813 200655 209331 257985 271355 302367 348885 361179 379897 488439 503945 601965 627993 705523 814065 907101 1046655 1139691 1465317 1511835 1805895 1899485 2116569 2442195 2659279 2721303 3139965 3419073 3527615 4395951 4535505 4938661 5698455 6349707 7326585 7977837 8163909 10257219 10582845 13296395 13606515 14815983 17095365 19049121 21979755 23933511 24693305 30771657 31748535 34570627 39889185 40819545 44447949 51286095 57147363 71800533 74079915 95245605 103711881 119667555 133343847 153858285 172853135 215401599 222239745 285736815 311135643 359002665 400031541 518559405 666719235 933406929 1077007995 1555678215 2000157705 2800220787 4667034645 14001103935