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3430241142042 = 23111347183146457
BaseRepresentation
bin110001111010101010010…
…011100000010100011010
3110010221001101212211111210
4301322222103200110122
5422200113213021132
611143455300203550
7502553400424011
oct61725223402432
913127041784453
103430241142042
111102836775750
124749789995b6
131bb616493c20
14bc04b555a78
155e365eeabcc
hex31eaa4e051a

3430241142042 has 128 divisors (see below), whose sum is σ = 8236026667008. Its totient is φ = 938559859200.

The previous prime is 3430241142023. The next prime is 3430241142043. The reversal of 3430241142042 is 2402411420343.

It is not an unprimeable number, because it can be changed into a prime (3430241142043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 73813678 + ... + 73860134.

It is an arithmetic number, because the mean of its divisors is an integer number (64343958336).

Almost surely, 23430241142042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3430241142042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4118013333504).

3430241142042 is an abundant number, since it is smaller than the sum of its proper divisors (4805785524966).

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

3430241142042 is a wasteful number, since it uses less digits than its factorization.

3430241142042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48364.

The product of its (nonzero) digits is 18432, while the sum is 30.

Adding to 3430241142042 its reverse (2402411420343), we get a palindrome (5832652562385).

The spelling of 3430241142042 in words is "three trillion, four hundred thirty billion, two hundred forty-one million, one hundred forty-two thousand, forty-two".

Divisors: 1 2 3 6 11 13 22 26 33 39 47 66 78 94 141 143 282 286 429 517 611 858 1034 1222 1551 1831 1833 3102 3662 3666 5493 6721 10986 13442 20141 20163 23803 40282 40326 46457 47606 60423 71409 86057 92914 120846 139371 142818 172114 258171 261833 278742 511027 516342 523666 603941 785499 946627 1022054 1118741 1207882 1533081 1570998 1811823 1893254 2183479 2237482 2839881 3066162 3356223 3623646 4366958 5679762 6550437 6643351 6712446 12306151 13100874 13286702 19930053 24018269 24612302 28385227 36918453 39860106 48036538 56770454 72054807 73836906 85062767 85155681 144109614 170125534 170311362 255188301 312237497 510376602 624474994 935690437 936712491 1105815971 1871380874 1873424982 2211631942 2807071311 3317447913 3997950049 5614142622 6634895826 7995900098 11993850147 12163975681 23987700294 24327951362 36491927043 43977450539 51973350637 72983854086 87954901078 103946701274 131932351617 155920051911 263864703234 311840103822 571706857007 1143413714014 1715120571021 3430241142042