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4411214121144 = 233715925674059
BaseRepresentation
bin100000000110001000011…
…0110011100100010111000
3120121201010002121110011010
41000030100312130202320
51034233131303334034
613214252255433520
7633461666236635
oct100142066344270
916551102543133
104411214121144
11145087040a186
125b2b0a8258a0
1325cc8b820ccc
1411370a9cd18c
1579b2c13b3e9
hex40310d9c8b8

4411214121144 has 32 divisors (see below), whose sum is σ = 11029576176000. Its totient is φ = 1470199257312.

The previous prime is 4411214121137. The next prime is 4411214121157.

It is a happy number.

4411214121144 is nontrivially palindromic in base 10.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12665214 + ... + 13008845.

It is an arithmetic number, because the mean of its divisors is an integer number (344674255500).

Almost surely, 24411214121144 is an apocalyptic number.

It is an amenable number.

4411214121144 is an abundant number, since it is smaller than the sum of its proper divisors (6618362054856).

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

4411214121144 is a wasteful number, since it uses less digits than its factorization.

4411214121144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25681227 (or 25681223 counting only the distinct ones).

The product of its digits is 4096, while the sum is 30.

The spelling of 4411214121144 in words is "four trillion, four hundred eleven billion, two hundred fourteen million, one hundred twenty-one thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 24 7159 14318 21477 28636 42954 57272 85908 171816 25674059 51348118 77022177 102696236 154044354 205392472 308088708 616177416 183800588381 367601176762 551401765143 735202353524 1102803530286 1470404707048 2205607060572 4411214121144