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14040103505520 = 2435193078970067
BaseRepresentation
bin1100110001001111011101…
…1000011100111001110000
31211201012221221202010010210
43030103313120130321300
53320013112444134040
645505533504224120
72646235565463531
oct314236730347160
954635857663123
1014040103505520
114523413449984
1216a909630b040
137aac8c5a6781
1436778a6a0688
15195336a2d480
hexcc4f761ce70

14040103505520 has 80 divisors (see below), whose sum is σ = 45815074611840. Its totient is φ = 3546973516032.

The previous prime is 14040103505509. The next prime is 14040103505531. The reversal of 14040103505520 is 2550530104041.

It is an interprime number because it is at equal distance from previous prime (14040103505509) and next prime (14040103505531).

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1539480474 + ... + 1539489593.

It is an arithmetic number, because the mean of its divisors is an integer number (572688432648).

Almost surely, 214040103505520 is an apocalyptic number.

14040103505520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14040103505520 is an abundant number, since it is smaller than the sum of its proper divisors (31774971106320).

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

14040103505520 is a wasteful number, since it uses less digits than its factorization.

14040103505520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3078970102 (or 3078970096 counting only the distinct ones).

The product of its (nonzero) digits is 12000, while the sum is 30.

Adding to 14040103505520 its reverse (2550530104041), we get a palindrome (16590633609561).

The spelling of 14040103505520 in words is "fourteen trillion, forty billion, one hundred three million, five hundred five thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 19 20 24 30 38 40 48 57 60 76 80 95 114 120 152 190 228 240 285 304 380 456 570 760 912 1140 1520 2280 4560 3078970067 6157940134 9236910201 12315880268 15394850335 18473820402 24631760536 30789700670 36947640804 46184551005 49263521072 58500431273 61579401340 73895281608 92369102010 117000862546 123158802680 147790563216 175501293819 184738204020 234001725092 246317605360 292502156365 351002587638 369476408040 468003450184 585004312730 702005175276 738952816080 877506469095 936006900368 1170008625460 1404010350552 1755012938190 2340017250920 2808020701104 3510025876380 4680034501840 7020051752760 14040103505520