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14302411420 = 22511372337541
BaseRepresentation
bin11010101000111110…
…10111101010011100
31100220202111210001111
431110133113222130
5213242404131140
610323114151404
71014266330323
oct152437275234
940822453044
1014302411420
11607a37a430
122931a22564
13146c17244b
149997170ba
1558a96b7ea
hex3547d7a9c

14302411420 has 96 divisors (see below), whose sum is σ = 33799985856. Its totient is φ = 5037926400.

The previous prime is 14302411411. The next prime is 14302411439. The reversal of 14302411420 is 2411420341.

It is a happy number.

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 = 14302411391 and 14302411400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1892850 + ... + 1900390.

It is an arithmetic number, because the mean of its divisors is an integer number (352083186).

Almost surely, 214302411420 is an apocalyptic number.

14302411420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14302411420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16899992928).

14302411420 is an abundant number, since it is smaller than the sum of its proper divisors (19497574436).

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

14302411420 is a wasteful number, since it uses less digits than its factorization.

14302411420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7831 (or 7829 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

Adding to 14302411420 its reverse (2411420341), we get a palindrome (16713831761).

The spelling of 14302411420 in words is "fourteen billion, three hundred two million, four hundred eleven thousand, four hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 37 44 55 74 110 148 185 220 233 370 407 466 740 814 932 1165 1628 2035 2330 2563 4070 4660 5126 7541 8140 8621 10252 12815 15082 17242 25630 30164 34484 37705 43105 51260 75410 82951 86210 94831 150820 165902 172420 189662 279017 331804 379324 414755 474155 558034 829510 948310 1116068 1395085 1659020 1757053 1896620 2790170 3069187 3514106 5580340 6138374 7028212 8785265 12276748 15345935 17570530 19327583 30691870 35141060 38655166 61383740 65010961 77310332 96637915 130021922 193275830 260043844 325054805 386551660 650109610 715120571 1300219220 1430241142 2860482284 3575602855 7151205710 14302411420