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144435120320106 = 232711228594558819
BaseRepresentation
bin100000110101110011101100…
…000010100010111001101010
3200221101212021212120201121200
4200311303230002202321222
5122412411111300220411
61231104324523345030
742265043633013060
oct4065635402427152
9627355255521550
10144435120320106
1142026655006550
12142485b1682176
136279233c77965
1427949a8c9a030
1511a715028ae56
hex835cec0a2e6a

144435120320106 has 96 divisors (see below), whose sum is σ = 390179556748800. Its totient is φ = 37513966263840.

The previous prime is 144435120320089. The next prime is 144435120320123. The reversal of 144435120320106 is 601023021534441.

144435120320106 is a `hidden beast` number, since 1 + 4 + 4 + 4 + 3 + 512 + 0 + 32 + 0 + 106 = 666.

It is an interprime number because it is at equal distance from previous prime (144435120320089) and next prime (144435120320123).

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, 29403165 + ... + 33961983.

It is an arithmetic number, because the mean of its divisors is an integer number (4064370382800).

Almost surely, 2144435120320106 is an apocalyptic number.

144435120320106 is an abundant number, since it is smaller than the sum of its proper divisors (245744436428694).

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

144435120320106 is a wasteful number, since it uses less digits than its factorization.

144435120320106 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4581704 (or 4581701 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

Adding to 144435120320106 its reverse (601023021534441), we get a palindrome (745458141854547).

The spelling of 144435120320106 in words is "one hundred forty-four trillion, four hundred thirty-five billion, one hundred twenty million, three hundred twenty thousand, one hundred six".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 33 42 63 66 77 99 126 154 198 231 462 693 1386 22859 45718 68577 137154 160013 205731 251449 320026 411462 480039 502898 754347 960078 1440117 1508694 1760143 2263041 2880234 3520286 4526082 4558819 5280429 9117638 10560858 13676457 15841287 27352914 31682574 31911733 41029371 50147009 63823466 82058742 95735199 100294018 150441027 191470398 287205597 300882054 351029063 451323081 574411194 702058126 902646162 1053087189 2106174378 3159261567 6318523134 104210043521 208420087042 312630130563 625260261126 729470304647 937890391689 1146310478731 1458940609294 1875780783378 2188410913941 2292620957462 3438931436193 4376821827882 6565232741823 6877862872386 8024173351117 10316794308579 13130465483646 16048346702234 20633588617158 24072520053351 48145040106702 72217560160053 144435120320106