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144001613221144 = 23710139764130917
BaseRepresentation
bin100000101111011111111101…
…000000001100110100011000
3200212212102100000111100220121
4200233133331000030310120
5122333310300441034034
61230133232230003024
742221526134325640
oct4057377500146430
9625772300440817
10144001613221144
1141979817604828
1214198588aa6474
1362473a87c0953
14277ba029a3520
15119ac2be081b4
hex82f7fd00cd18

144001613221144 has 64 divisors (see below), whose sum is σ = 312415049655360. Its totient is φ = 60950022566400.

The previous prime is 144001613221129. The next prime is 144001613221201. The reversal of 144001613221144 is 441122316100441.

It is a super-2 number, since 2×1440016132211442 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29820027 + ... + 34310890.

It is an arithmetic number, because the mean of its divisors is an integer number (4881485150865).

Almost surely, 2144001613221144 is an apocalyptic number.

144001613221144 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

144001613221144 is an abundant number, since it is smaller than the sum of its proper divisors (168413436434216).

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

144001613221144 is a wasteful number, since it uses less digits than its factorization.

144001613221144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64131428 (or 64131424 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 34.

Adding to 144001613221144 its reverse (441122316100441), we get a palindrome (585123929321585).

The spelling of 144001613221144 in words is "one hundred forty-four trillion, one billion, six hundred thirteen million, two hundred twenty-one thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 14 28 56 101 202 397 404 707 794 808 1414 1588 2779 2828 3176 5558 5656 11116 22232 40097 80194 160388 280679 320776 561358 1122716 2245432 64130917 128261834 256523668 448916419 513047336 897832838 1795665676 3591331352 6477222617 12954445234 25459974049 25908890468 45340558319 50919948098 51817780936 90681116638 101839896196 178219818343 181362233276 203679792392 356439636686 362724466552 712879273372 1425758546744 2571457378949 5142914757898 10285829515796 18000201652643 20571659031592 36000403305286 72000806610572 144001613221144