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4320143434000 = 245316493130969
BaseRepresentation
bin111110110111011100100…
…111010110000100010000
3120022000001020001012101101
4332313130213112010100
51031240123204342000
613104351350514144
7624056116204342
oct76673447260420
916260036035341
104320143434000
111416187384a89
12599333365954
13254506c42354
1410d14b823292
157759bcb8e6a
hex3eddc9d6110

4320143434000 has 80 divisors (see below), whose sum is σ = 10446819954480. Its totient is φ = 1727939404800.

The previous prime is 4320143433997. The next prime is 4320143434051. The reversal of 4320143434000 is 4343410234.

It can be written as a sum of positive squares in 8 ways, for example, as 1480096094464 + 2840047339536 = 1216592^2 + 1685244^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 4320143434000.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32920516 + ... + 33051484.

It is an arithmetic number, because the mean of its divisors is an integer number (130585249431).

Almost surely, 24320143434000 is an apocalyptic number.

4320143434000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4320143434000 is an abundant number, since it is smaller than the sum of its proper divisors (6126676520480).

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

4320143434000 is a wasteful number, since it uses less digits than its factorization.

4320143434000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147485 (or 147469 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 28.

Adding to 4320143434000 its reverse (4343410234), we get a palindrome (4324486844234).

The spelling of 4320143434000 in words is "four trillion, three hundred twenty billion, one hundred forty-three million, four hundred thirty-four thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 1000 2000 16493 32986 65972 82465 130969 131944 164930 261938 263888 329860 412325 523876 654845 659720 824650 1047752 1309690 1319440 1649300 2061625 2095504 2619380 3274225 3298600 4123250 5238760 6548450 6597200 8246500 10477520 13096900 16371125 16493000 26193800 32742250 32986000 52387600 65484500 130969000 261938000 2160071717 4320143434 8640286868 10800358585 17280573736 21600717170 34561147472 43201434340 54001792925 86402868680 108003585850 172805737360 216007171700 270008964625 432014343400 540017929250 864028686800 1080035858500 2160071717000 4320143434000