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340014011030430 = 235117988071480907
BaseRepresentation
bin100110101001111011010111…
…0010110001001101110011110
31122120220000121001002200122120
41031103312232112021232132
5324031242143310433210
63203052140313323410
7131422126106403042
oct11523665626115636
91576800531080576
10340014011030430
1199380150097090
1232174bb0406566
1311795250671019
145dd6aa1a5a022
15294982863c270
hex1353dae589b9e

340014011030430 has 128 divisors (see below), whose sum is σ = 901590059335680. Its totient is φ = 81374955392640.

The previous prime is 340014011030413. The next prime is 340014011030431. The reversal of 340014011030430 is 34030110410043.

It is a self number, because there is not a number n which added to its sum of digits gives 340014011030430.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (340014011030431) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 228858037 + ... + 230338943.

It is an arithmetic number, because the mean of its divisors is an integer number (7043672338560).

Almost surely, 2340014011030430 is an apocalyptic number.

340014011030430 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 340014011030430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (450795029667840).

340014011030430 is an abundant number, since it is smaller than the sum of its proper divisors (561576048305250).

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

340014011030430 is a wasteful number, since it uses less digits than its factorization.

340014011030430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1489814.

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

Adding to 340014011030430 its reverse (34030110410043), we get a palindrome (374044121440473).

The spelling of 340014011030430 in words is "three hundred forty trillion, fourteen billion, eleven million, thirty thousand, four hundred thirty".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 79 110 158 165 237 330 395 474 790 869 1185 1738 2370 2607 4345 5214 8690 8807 13035 17614 26070 26421 44035 52842 88070 96877 132105 193754 264210 290631 484385 581262 695753 968770 1391506 1453155 1480907 2087259 2906310 2961814 3478765 4174518 4442721 6957530 7404535 7653283 8885442 10436295 14809070 15306566 16289977 20872590 22213605 22959849 32579954 38266415 44427210 45919698 48869931 76532830 81449885 97739862 114799245 116991653 162899770 229598490 233983306 244349655 350974959 488699310 584958265 701949918 1169916530 1286908183 1754874795 2573816366 3509749590 3860724549 6434540915 7721449098 12869081830 13042347949 19303622745 26084695898 38607245490 39127043847 65211739745 78254087694 130423479490 143465827439 195635219235 286931654878 391270438470 430397482317 717329137195 860794964634 1030345487971 1434658274390 2060690975942 2151987411585 3091036463913 4303974823170 5151727439855 6182072927826 10303454879710 11333800367681 15455182319565 22667600735362 30910364639130 34001401103043 56669001838405 68002802206086 113338003676810 170007005515215 340014011030430