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144929471004 = 223223175035593
BaseRepresentation
bin1000011011111001111…
…0000011101000011100
3111212002101100221201100
42012332132003220130
54333303421033004
6150325113313100
713320326114613
oct2067636035034
9455071327640
10144929471004
11565119a971a
1224108705790
1310888c28346
14702c1b087a
153b83895739
hex21be783a1c

144929471004 has 36 divisors (see below), whose sum is σ = 382277737296. Its totient is φ = 46209396288.

The previous prime is 144929471003. The next prime is 144929471021. The reversal of 144929471004 is 400174929441.

144929471004 is a `hidden beast` number, since 1 + 4 + 492 + 94 + 71 + 0 + 0 + 4 = 666.

144929471004 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144929471003) 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 11 ways as a sum of consecutive naturals, for example, 87516969 + ... + 87518624.

It is an arithmetic number, because the mean of its divisors is an integer number (10618826036).

Almost surely, 2144929471004 is an apocalyptic number.

It is an amenable number.

144929471004 is an abundant number, since it is smaller than the sum of its proper divisors (237348266292).

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

144929471004 is a wasteful number, since it uses less digits than its factorization.

144929471004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175035626 (or 175035621 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 144929471004 in words is "one hundred forty-four billion, nine hundred twenty-nine million, four hundred seventy-one thousand, four".

Divisors: 1 2 3 4 6 9 12 18 23 36 46 69 92 138 207 276 414 828 175035593 350071186 525106779 700142372 1050213558 1575320337 2100427116 3150640674 4025818639 6301281348 8051637278 12077455917 16103274556 24154911834 36232367751 48309823668 72464735502 144929471004