Search a number
-
+
214030203330432 = 2731205514623523
BaseRepresentation
bin110000101010100011001010…
…001111011001111110000000
31001001211002100212110011121210
4300222203022033121332000
5211023132324023033212
62035112041254450120
763040112651032206
oct6052431217317600
91031732325404553
10214030203330432
116221877702a145
12200085a2063940
139256c6675a088
143abd18d509076
1519b263b87c53c
hexc2a8ca3d9f80

214030203330432 has 64 divisors (see below), whose sum is σ = 568522566552960. Its totient is φ = 71342793868800.

The previous prime is 214030203330389. The next prime is 214030203330451. The reversal of 214030203330432 is 234033302030412.

It is a tau number, because it is divible by the number of its divisors (64).

It is a self number, because there is not a number n which added to its sum of digits gives 214030203330432.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 43979823 + ... + 48603345.

It is an arithmetic number, because the mean of its divisors is an integer number (8883165102390).

Almost surely, 2214030203330432 is an apocalyptic number.

It is an amenable number.

214030203330432 is an abundant number, since it is smaller than the sum of its proper divisors (354492363222528).

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

214030203330432 is a wasteful number, since it uses less digits than its factorization.

214030203330432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4744091 (or 4744079 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 30.

Adding to 214030203330432 its reverse (234033302030412), we get a palindrome (448063505360844).

The spelling of 214030203330432 in words is "two hundred fourteen trillion, thirty billion, two hundred three million, three hundred thirty thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 384 120551 241102 361653 482204 723306 964408 1446612 1928816 2893224 3857632 4623523 5786448 7715264 9247046 11572896 13870569 15430528 18494092 23145792 27741138 36988184 46291584 55482276 73976368 110964552 147952736 221929104 295905472 443858208 591810944 887716416 1775432832 557370321173 1114740642346 1672110963519 2229481284692 3344221927038 4458962569384 6688443854076 8917925138768 13376887708152 17835850277536 26753775416304 35671700555072 53507550832608 71343401110144 107015101665216 214030203330432