Search a number
-
+
3240534123440 = 2451712722782651
BaseRepresentation
bin101111001001111110111…
…000101010001110110000
3102110210101101122210001122
4233021332320222032300
5411043103213422230
610520403020321412
7453056312400065
oct57117670521660
912423341583048
103240534123440
11103a337039849
124440543a3268
131a67727734b3
14b2bb24a0c6c
1559461508be5
hex2f27ee2a3b0

3240534123440 has 160 divisors (see below), whose sum is σ = 8075764260864. Its totient is φ = 1205013196800.

The previous prime is 3240534123439. The next prime is 3240534123503. The reversal of 3240534123440 is 443214350423.

It is a super-2 number, since 2×32405341234402 (a number of 26 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 3240534123440.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 39166115 + ... + 39248765.

Almost surely, 23240534123440 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3240534123440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4037882130432).

3240534123440 is an abundant number, since it is smaller than the sum of its proper divisors (4835230137424).

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

3240534123440 is a wasteful number, since it uses less digits than its factorization.

3240534123440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83035 (or 83029 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 35.

Adding to 3240534123440 its reverse (443214350423), we get a palindrome (3683748473863).

The spelling of 3240534123440 in words is "three trillion, two hundred forty billion, five hundred thirty-four million, one hundred twenty-three thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 17 20 34 40 68 80 85 127 136 170 227 254 272 340 454 508 635 680 908 1016 1135 1270 1360 1816 2032 2159 2270 2540 3632 3859 4318 4540 5080 7718 8636 9080 10160 10795 15436 17272 18160 19295 21590 28829 30872 34544 38590 43180 57658 61744 77180 82651 86360 115316 144145 154360 165302 172720 230632 288290 308720 330604 413255 461264 490093 576580 661208 826510 980186 1153160 1322416 1405067 1653020 1960372 2306320 2450465 2810134 3306040 3920744 4900930 5620268 6612080 7025335 7841488 9801860 10496677 11240536 14050670 18761777 19603720 20993354 22481072 28101340 37523554 39207440 41986708 52483385 56202680 75047108 83973416 93808885 104966770 112405360 150094216 167946832 178443509 187617770 209933540 300188432 318950209 356887018 375235540 419867080 637900418 713774036 750471080 839734160 892217545 1275800836 1427548072 1500942160 1594751045 1784435090 2382745679 2551601672 2855096144 3189502090 3568870180 4765491358 5103203344 6379004180 7137740360 9530982716 11913728395 12758008360 14275480720 19061965432 23827456790 25516016720 38123930864 40506676543 47654913580 81013353086 95309827160 162026706172 190619654320 202533382715 324053412344 405066765430 648106824688 810133530860 1620267061720 3240534123440