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4144522350000 = 2435527630149
BaseRepresentation
bin111100010011111000110…
…010000100110110110000
3112200012201212222202121210
4330103320302010312300
51020400440210200000
612451544533320120
7605301061500234
oct74237062046660
915605655882553
104144522350000
11135875590124a
1256b2a0196040
13240a9958b176
1410484b4145c4
1572c1dc32350
hex3c4f8c84db0

4144522350000 has 120 divisors (see below), whose sum is σ = 13382497371600. Its totient is φ = 1105205920000.

The previous prime is 4144522349987. The next prime is 4144522350019. The reversal of 4144522350000 is 532254414.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a self number, because there is not a number n which added to its sum of digits gives 4144522350000.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13665075 + ... + 13965074.

It is an arithmetic number, because the mean of its divisors is an integer number (111520811430).

Almost surely, 24144522350000 is an apocalyptic number.

4144522350000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4144522350000 is an abundant number, since it is smaller than the sum of its proper divisors (9237975021600).

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

4144522350000 is an equidigital number, since it uses as much as digits as its factorization.

4144522350000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27630185 (or 27630159 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 30.

The spelling of 4144522350000 in words is "four trillion, one hundred forty-four billion, five hundred twenty-two million, three hundred fifty thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 125 150 200 240 250 300 375 400 500 600 625 750 1000 1200 1250 1500 1875 2000 2500 3000 3125 3750 5000 6000 6250 7500 9375 10000 12500 15000 18750 25000 30000 37500 50000 75000 150000 27630149 55260298 82890447 110520596 138150745 165780894 221041192 276301490 331561788 414452235 442082384 552602980 663123576 690753725 828904470 1105205960 1326247152 1381507450 1657808940 2072261175 2210411920 2763014900 3315617880 3453768625 4144522350 5526029800 6631235760 6907537250 8289044700 10361305875 11052059600 13815074500 16578089400 17268843125 20722611750 27630149000 33156178800 34537686250 41445223500 51806529375 55260298000 69075372500 82890447000 86344215625 103613058750 138150745000 165780894000 172688431250 207226117500 259032646875 276301490000 345376862500 414452235000 518065293750 690753725000 828904470000 1036130587500 1381507450000 2072261175000 4144522350000