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4120401012444 = 22321063245943787
BaseRepresentation
bin111011111101011011000…
…010011110011011011100
3112120220110211102212002100
4323331123002132123130
51020002040124344234
612432515221325100
7603455243505033
oct73753302363334
915526424385070
104120401012444
1113494a7a53332
12566689b66790
1323b7240ba172
141035dda3171a
15722ab274399
hex3bf5b09e6dc

4120401012444 has 72 divisors (see below), whose sum is σ = 10429734107520. Its totient is φ = 1371585591072.

The previous prime is 4120401012407. The next prime is 4120401012473. The reversal of 4120401012444 is 4442101040214.

It is a happy number.

4120401012444 is a `hidden beast` number, since 4 + 1 + 204 + 0 + 1 + 0 + 12 + 444 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 94079119 + ... + 94122905.

It is an arithmetic number, because the mean of its divisors is an integer number (144857418160).

Almost surely, 24120401012444 is an apocalyptic number.

It is an amenable number.

4120401012444 is an abundant number, since it is smaller than the sum of its proper divisors (6309333095076).

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

4120401012444 is a wasteful number, since it uses less digits than its factorization.

4120401012444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47319 (or 47314 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 27.

Adding to 4120401012444 its reverse (4442101040214), we get a palindrome (8562502052658).

The spelling of 4120401012444 in words is "four trillion, one hundred twenty billion, four hundred one million, twelve thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 36 1063 2126 2459 3189 4252 4918 6378 7377 9567 9836 12756 14754 19134 22131 29508 38268 43787 44262 87574 88524 131361 175148 262722 394083 525444 788166 1576332 2613917 5227834 7841751 10455668 15683502 23525253 31367004 46545581 47050506 93091162 94101012 107672233 139636743 186182324 215344466 279273486 323016699 418910229 430688932 558546972 646033398 837820458 969050097 1292066796 1675640916 1938100194 3876200388 114455583679 228911167358 343366751037 457822334716 686733502074 1030100253111 1373467004148 2060200506222 4120401012444