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14211102330040 = 23571127716657019
BaseRepresentation
bin1100111011001100011110…
…1101001100110010111000
31212022120100011012102220211
43032303013231030302320
53330313314144030130
650120253522400504
72664501235505530
oct316630755146270
955276304172824
1014211102330040
114589992867760
121716259500134
137c1141448985
14371b6cc5a4c0
151999e3dc6a2a
hexcecc7b4ccb8

14211102330040 has 128 divisors (see below), whose sum is σ = 40008829478400. Its totient is φ = 4413443489280.

The previous prime is 14211102330037. The next prime is 14211102330041. The reversal of 14211102330040 is 4003320111241.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 14211102329993 and 14211102330020.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14211102330041) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7475350 + ... + 9181669.

It is an arithmetic number, because the mean of its divisors is an integer number (312568980300).

Almost surely, 214211102330040 is an apocalyptic number.

14211102330040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14211102330040 is an abundant number, since it is smaller than the sum of its proper divisors (25797727148360).

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

14211102330040 is a wasteful number, since it uses less digits than its factorization.

14211102330040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16657325 (or 16657321 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

Adding to 14211102330040 its reverse (4003320111241), we get a palindrome (18214422441281).

The spelling of 14211102330040 in words is "fourteen trillion, two hundred eleven billion, one hundred two million, three hundred thirty thousand, forty".

Divisors: 1 2 4 5 7 8 10 11 14 20 22 28 35 40 44 55 56 70 77 88 110 140 154 220 277 280 308 385 440 554 616 770 1108 1385 1540 1939 2216 2770 3047 3080 3878 5540 6094 7756 9695 11080 12188 15235 15512 19390 21329 24376 30470 38780 42658 60940 77560 85316 106645 121880 170632 213290 426580 853160 16657019 33314038 66628076 83285095 116599133 133256152 166570190 183227209 233198266 333140380 366454418 466396532 582995665 666280760 732908836 916136045 932793064 1165991330 1282590463 1465817672 1832272090 2331982660 2565180926 3664544180 4613994263 4663965320 5130361852 6412952315 7329088360 9227988526 10260723704 12825904630 18455977052 23069971315 25651809260 32297959841 36911954104 46139942630 50753936893 51303618520 64595919682 92279885260 101507873786 129191839364 161489799205 184559770520 203015747572 253769684465 258383678728 322979598410 355277558251 406031495144 507539368930 645959196820 710555116502 1015078737860 1291918393640 1421110233004 1776387791255 2030157475720 2842220466008 3552775582510 7105551165020 14211102330040