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144205553115045 = 3254424972421249
BaseRepresentation
bin100000110010011101111000…
…110001001001111110100101
3200220120220201221101101210100
4200302131320301021332211
5122400130433044140140
61230411041101414313
742242336015661042
oct4062357061117645
9626526657341710
10144205553115045
1141a48260336594
1214210003b6a399
1362606aa148196
14278782c0301c9
1511a11b61cd530
hex832778c49fa5

144205553115045 has 24 divisors (see below), whose sum is σ = 249961944375000. Its totient is φ = 76907889156096.

The previous prime is 144205553115007. The next prime is 144205553115059. The reversal of 144205553115045 is 540511355502441.

144205553115045 is a `hidden beast` number, since 1 + 4 + 4 + 2 + 0 + 5 + 553 + 1 + 1 + 50 + 45 = 666.

144205553115045 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 4706044712964 + 139499508402081 = 2169342^2 + 11810991^2 .

It is not a de Polignac number, because 144205553115045 - 28 = 144205553114789 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 34219420 + ... + 38201829.

It is an arithmetic number, because the mean of its divisors is an integer number (10415081015625).

Almost surely, 2144205553115045 is an apocalyptic number.

144205553115045 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

144205553115045 is a deficient number, since it is larger than the sum of its proper divisors (105756391259955).

144205553115045 is a wasteful number, since it uses less digits than its factorization.

144205553115045 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72465509 (or 72465506 counting only the distinct ones).

The product of its (nonzero) digits is 1200000, while the sum is 45.

The spelling of 144205553115045 in words is "one hundred forty-four trillion, two hundred five billion, five hundred fifty-three million, one hundred fifteen thousand, forty-five".

Divisors: 1 3 5 9 15 45 44249 132747 221245 398241 663735 1991205 72421249 217263747 362106245 651791241 1086318735 3258956205 3204567847001 9613703541003 16022839235005 28841110623009 48068517705015 144205553115045