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144104133224340 = 2235580936651491
BaseRepresentation
bin100000110000111111011011…
…101010111110011110010100
3200220020012221210222010200000
4200300333123222332132110
5122342000231101134330
61230252305213251300
742232115521064352
oct4060773352763624
9626205853863600
10144104133224340
1141a092464665a3
12141b441a793b30
136253c66414533
14278296a5a07d2
15119d72c4c0560
hex830fdbabe794

144104133224340 has 144 divisors (see below), whose sum is σ = 453865687853760. Its totient is φ = 38380267480320.

The previous prime is 144104133224269. The next prime is 144104133224419. The reversal of 144104133224340 is 43422331401441.

144104133224340 is a `hidden beast` number, since 1 + 4 + 4 + 1 + 0 + 41 + 332 + 243 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 144104133224295 and 144104133224304.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14394006 + ... + 22257485.

It is an arithmetic number, because the mean of its divisors is an integer number (3151845054540).

Almost surely, 2144104133224340 is an apocalyptic number.

144104133224340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144104133224340 is an abundant number, since it is smaller than the sum of its proper divisors (309761554629420).

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

144104133224340 is a wasteful number, since it uses less digits than its factorization.

144104133224340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36652324 (or 36652310 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

Adding to 144104133224340 its reverse (43422331401441), we get a palindrome (187526464625781).

The spelling of 144104133224340 in words is "one hundred forty-four trillion, one hundred four billion, one hundred thirty-three million, two hundred twenty-four thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 243 270 324 405 486 540 809 810 972 1215 1618 1620 2427 2430 3236 4045 4854 4860 7281 8090 9708 12135 14562 16180 21843 24270 29124 36405 43686 48540 65529 72810 87372 109215 131058 145620 196587 218430 262116 327645 393174 436860 655290 786348 982935 1310580 1965870 3931740 36651491 73302982 109954473 146605964 183257455 219908946 329863419 366514910 439817892 549772365 659726838 733029820 989590257 1099544730 1319453676 1649317095 1979180514 2199089460 2968770771 3298634190 3958361028 4947951285 5937541542 6597268380 8906312313 9895902570 11875083084 14843853855 17812624626 19791805140 29651056219 29687707710 35625249252 44531561565 59302112438 59375415420 88953168657 89063123130 118604224876 148255281095 177906337314 178126246260 266859505971 296510562190 355812674628 444765843285 533719011942 593021124380 800578517913 889531686570 1067438023884 1334297529855 1601157035826 1779063373140 2401735553739 2668595059710 3202314071652 4002892589565 4803471107478 5337190119420 7205206661217 8005785179130 9606942214956 12008677768695 14410413322434 16011570358260 24017355537390 28820826644868 36026033306085 48034711074780 72052066612170 144104133224340