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114211213040 = 2452336127211
BaseRepresentation
bin110101001011110000…
…1001100111011110000
3101220210120112202122102
41222113201030323300
53332401032304130
6124245022355532
711152155202331
oct1522741147360
9356716482572
10114211213040
1144489285871
121a17512bba8
13aa01b00642
1457565d8288
152e86b8e645
hex1a9784cef0

114211213040 has 40 divisors (see below), whose sum is σ = 266680775088. Its totient is φ = 45488407040.

The previous prime is 114211213021. The next prime is 114211213043. The reversal of 114211213040 is 40312112411.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114211213043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3044966 + ... + 3082245.

Almost surely, 2114211213040 is an apocalyptic number.

114211213040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

114211213040 is an abundant number, since it is smaller than the sum of its proper divisors (152469562048).

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

114211213040 is a wasteful number, since it uses less digits than its factorization.

114211213040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6127457 (or 6127451 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 20.

Adding to 114211213040 its reverse (40312112411), we get a palindrome (154523325451).

The spelling of 114211213040 in words is "one hundred fourteen billion, two hundred eleven million, two hundred thirteen thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 233 466 932 1165 1864 2330 3728 4660 9320 18640 6127211 12254422 24508844 30636055 49017688 61272110 98035376 122544220 245088440 490176880 1427640163 2855280326 5710560652 7138200815 11421121304 14276401630 22842242608 28552803260 57105606520 114211213040