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144242112121016 = 237131491329763553
BaseRepresentation
bin100000110010111111111011…
…110110101100100010111000
3200220201102002210121022212112
4200302333323312230202320
5122401230321200333031
61230435524520031452
742245102001256220
oct4062777366544270
9626642083538775
10144242112121016
1141a618109a9908
1214217107602588
136263c853507b0
1427894d95dd080
1511a2105a6162b
hex832ffbdac8b8

144242112121016 has 64 divisors (see below), whose sum is σ = 335100415608000. Its totient is φ = 56679841640448.

The previous prime is 144242112120881. The next prime is 144242112121087. The reversal of 144242112121016 is 610121211242441.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 664773305 + ... + 664990248.

It is an arithmetic number, because the mean of its divisors is an integer number (5235943993875).

Almost surely, 2144242112121016 is an apocalyptic number.

It is an amenable number.

144242112121016 is an abundant number, since it is smaller than the sum of its proper divisors (190858303486984).

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

144242112121016 is a wasteful number, since it uses less digits than its factorization.

144242112121016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1329763728 (or 1329763724 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 32.

Adding to 144242112121016 its reverse (610121211242441), we get a palindrome (754363323363457).

The spelling of 144242112121016 in words is "one hundred forty-four trillion, two hundred forty-two billion, one hundred twelve million, one hundred twenty-one thousand, sixteen".

Divisors: 1 2 4 7 8 13 14 26 28 52 56 91 104 149 182 298 364 596 728 1043 1192 1937 2086 3874 4172 7748 8344 13559 15496 27118 54236 108472 1329763553 2659527106 5319054212 9308344871 10638108424 17286926189 18616689742 34573852378 37233379484 69147704756 74466758968 121008483323 138295409512 198134769397 242016966646 396269538794 484033933292 792539077588 968067866584 1386943385779 1585078155176 2575752002161 2773886771558 5151504004322 5547773543116 10303008008644 11095547086232 18030264015127 20606016017288 36060528030254 72121056060508 144242112121016