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120842445376 = 2619222872
BaseRepresentation
bin111000010001011000…
…1010110001001000000
3102112220201101021022001
41300202301112021000
53434441131223001
6131303024553344
711505405560242
oct1604261261100
9375821337261
10120842445376
1147281456874
121b505a82854
13b51a8abb63
145bc51a0092
153223e14001
hex1c22c56240

120842445376 has 63 divisors (see below), whose sum is σ = 253192574259. Its totient is φ = 57216129408.

The previous prime is 120842445359. The next prime is 120842445377. The reversal of 120842445376 is 673544248021.

The square root of 120842445376 is 347624.

It is a perfect power (a square), and thus also a powerful number.

120842445376 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (120842445377) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 52837705 + ... + 52839991.

Almost surely, 2120842445376 is an apocalyptic number.

120842445376 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

120842445376 is the 347624-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120842445376

120842445376 is an abundant number, since it is smaller than the sum of its proper divisors (132350128883).

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

120842445376 is an frugal number, since it uses more digits than its factorization.

120842445376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4624 (or 2308 counting only the distinct ones).

The product of its (nonzero) digits is 1290240, while the sum is 46.

The spelling of 120842445376 in words is "one hundred twenty billion, eight hundred forty-two million, four hundred forty-five thousand, three hundred seventy-six".

Divisors: 1 2 4 8 16 19 32 38 64 76 152 304 361 608 722 1216 1444 2287 2888 4574 5776 9148 11552 18296 23104 36592 43453 73184 86906 146368 173812 347624 695248 825607 1390496 1651214 2780992 3302428 5230369 6604856 10460738 13209712 20921476 26419424 41842952 52838848 83685904 99377011 167371808 198754022 334743616 397508044 795016088 1590032176 1888163209 3180064352 3776326418 6360128704 7552652836 15105305672 30210611344 60421222688 120842445376