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340014244214320 = 245131719231574899
BaseRepresentation
bin100110101001111011011110…
…0001111101011011000110000
31122120220001012021212122210221
41031103312330033223120300
5324031243133004324240
63203052215403302424
7131422134640416334
oct11523667417533060
91576801167778727
10340014244214320
119938025a784645
123217505651aa14
1311795289a76560
145dd6ac49d97c4
15294983dd4da4a
hex1353dbc3eb630

340014244214320 has 80 divisors (see below), whose sum is σ = 901422378712800. Its totient is φ = 118158796173312.

The previous prime is 340014244214311. The next prime is 340014244214387. The reversal of 340014244214320 is 23412442410043.

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

It is a Harshad number since it is a multiple of its sum of digits (34).

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, 9615769770 + ... + 9615805129.

It is an arithmetic number, because the mean of its divisors is an integer number (11267779733910).

Almost surely, 2340014244214320 is an apocalyptic number.

It is an amenable number.

340014244214320 is an abundant number, since it is smaller than the sum of its proper divisors (561408134498480).

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

340014244214320 is a wasteful number, since it uses less digits than its factorization.

340014244214320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19231574942 (or 19231574936 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 34.

Adding to 340014244214320 its reverse (23412442410043), we get a palindrome (363426686624363).

The spelling of 340014244214320 in words is "three hundred forty trillion, fourteen billion, two hundred forty-four million, two hundred fourteen thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 17 20 26 34 40 52 65 68 80 85 104 130 136 170 208 221 260 272 340 442 520 680 884 1040 1105 1360 1768 2210 3536 4420 8840 17680 19231574899 38463149798 76926299596 96157874495 153852599192 192315748990 250010473687 307705198384 326936773283 384631497980 500020947374 653873546566 769262995960 1000041894748 1250052368435 1307747093132 1538525991920 1634683866415 2000083789496 2500104736870 2615494186264 3269367732830 4000167578992 4250178052679 5000209473740 5230988372528 6538735465660 8500356105358 10000418947480 13077470931320 17000712210716 20000837894960 21250890263395 26154941862640 34001424421432 42501780526790 68002848842864 85003561053580 170007122107160 340014244214320