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133434114000 = 24353112021729
BaseRepresentation
bin111110001000101001…
…0101111111111010000
3110202102020211022102020
41330101102233333100
54141233113122000
6141144312051440
712432423153345
oct1742122577720
9422366738366
10133434114000
1151653095880
1221a3a993b80
13c7764b3055
14665b5d67cc
15370e5a8ba0
hex1f114affd0

133434114000 has 160 divisors (see below), whose sum is σ = 469300141440. Its totient is φ = 32347648000.

The previous prime is 133434113999. The next prime is 133434114017. The reversal of 133434114000 is 411434331.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 944865 + ... + 1076864.

It is an arithmetic number, because the mean of its divisors is an integer number (2933125884).

Almost surely, 2133434114000 is an apocalyptic number.

133434114000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

133434114000 is an abundant number, since it is smaller than the sum of its proper divisors (335866027440).

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

133434114000 is a wasteful number, since it uses less digits than its factorization.

133434114000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2021766 (or 2021750 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 133434114000 its reverse (411434331), we get a palindrome (133845548331).

The spelling of 133434114000 in words is "one hundred thirty-three billion, four hundred thirty-four million, one hundred fourteen thousand".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 25 30 33 40 44 48 50 55 60 66 75 80 88 100 110 120 125 132 150 165 176 200 220 240 250 264 275 300 330 375 400 440 500 528 550 600 660 750 825 880 1000 1100 1200 1320 1375 1500 1650 2000 2200 2640 2750 3000 3300 4125 4400 5500 6000 6600 8250 11000 13200 16500 22000 33000 66000 2021729 4043458 6065187 8086916 10108645 12130374 16173832 20217290 22239019 24260748 30325935 32347664 40434580 44478038 48521496 50543225 60651870 66717057 80869160 88956076 97042992 101086450 111195095 121303740 133434114 151629675 161738320 177912152 202172900 222390190 242607480 252716125 266868228 303259350 333585285 355824304 404345800 444780380 485214960 505432250 533736456 555975475 606518700 667170570 758148375 808691600 889560760 1010864500 1067472912 1111950950 1213037400 1334341140 1516296750 1667926425 1779121520 2021729000 2223901900 2426074800 2668682280 2779877375 3032593500 3335852850 4043458000 4447803800 5337364560 5559754750 6065187000 6671705700 8339632125 8895607600 11119509500 12130374000 13343411400 16679264250 22239019000 26686822800 33358528500 44478038000 66717057000 133434114000