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444201034140 = 223259292656387
BaseRepresentation
bin1100111011011000111…
…00011110000110011100
31120110120010121112221100
412131230130132012130
524234210431043030
6540021345433100
744043500330523
oct6355434360634
91513503545840
10444201034140
111614259a3586
127210a03b790
1332b70b6c206
14176dc6954ba
15b84c116360
hex676c71e19c

444201034140 has 72 divisors (see below), whose sum is σ = 1348860698640. Its totient is φ = 118326057984.

The previous prime is 444201034099. The next prime is 444201034157. The reversal of 444201034140 is 41430102444.

444201034140 is a `hidden beast` number, since 4 + 44 + 201 + 0 + 3 + 414 + 0 = 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, 1160974 + ... + 1495413.

It is an arithmetic number, because the mean of its divisors is an integer number (18734176370).

Almost surely, 2444201034140 is an apocalyptic number.

It is an amenable number.

444201034140 is an abundant number, since it is smaller than the sum of its proper divisors (904659664500).

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

444201034140 is a wasteful number, since it uses less digits than its factorization.

444201034140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2657331 (or 2657326 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 444201034140 its reverse (41430102444), we get a palindrome (485631136584).

The spelling of 444201034140 in words is "four hundred forty-four billion, two hundred one million, thirty-four thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 929 1858 2787 3716 4645 5574 8361 9290 11148 13935 16722 18580 27870 33444 41805 55740 83610 167220 2656387 5312774 7969161 10625548 13281935 15938322 23907483 26563870 31876644 39845805 47814966 53127740 79691610 95629932 119537415 159383220 239074830 478149660 2467783523 4935567046 7403350569 9871134092 12338917615 14806701138 22210051707 24677835230 29613402276 37016752845 44420103414 49355670460 74033505690 88840206828 111050258535 148067011380 222100517070 444201034140