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144034011213020 = 225167214320123171
BaseRepresentation
bin100000101111111110001000…
…000100101110110011011100
3200212222111221220000212201122
4200233332020010232303130
5122334323123332304040
61230200151123230112
742224054032605515
oct4057761004566334
9625874856025648
10144034011213020
1141991532409625
12141a290ab18338
13624a46c91a646
14277d3d76a7a0c
15119b9c630d1b5
hex82ff8812ecdc

144034011213020 has 48 divisors (see below), whose sum is σ = 304424633899008. Its totient is φ = 57241886425920.

The previous prime is 144034011213017. The next prime is 144034011213023. The reversal of 144034011213020 is 20312110430441.

144034011213020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (144034011213017) and next prime (144034011213023).

It is a super-2 number, since 2×1440340112130202 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144034011213023) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2903966 + ... + 17219205.

It is an arithmetic number, because the mean of its divisors is an integer number (6342179872896).

Almost surely, 2144034011213020 is an apocalyptic number.

144034011213020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144034011213020 is an abundant number, since it is smaller than the sum of its proper divisors (160390622685988).

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

144034011213020 is a wasteful number, since it uses less digits than its factorization.

144034011213020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20125490 (or 20125488 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 26.

Adding to 144034011213020 its reverse (20312110430441), we get a palindrome (164346121643461).

The spelling of 144034011213020 in words is "one hundred forty-four trillion, thirty-four billion, eleven million, two hundred thirteen thousand, twenty".

Divisors: 1 2 4 5 10 20 167 334 668 835 1670 2143 3340 4286 8572 10715 21430 42860 357881 715762 1431524 1789405 3578810 7157620 20123171 40246342 80492684 100615855 201231710 402463420 3360569557 6721139114 13442278228 16802847785 33605695570 43123955453 67211391140 86247910906 172495821812 215619777265 431239554530 862479109060 7201700560651 14403401121302 28806802242604 36008502803255 72017005606510 144034011213020