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4021442241012 = 22327101967163393
BaseRepresentation
bin111010100001010000101…
…000101110000111110100
3112020110001020001101220200
4322201100220232013310
51011341403203203022
612315231451400500
7563353042023240
oct72412050560764
915213036041820
104021442241012
111310536340709
1254b470a53130
132322b3221701
14dc8d2db1420
156e918661bac
hex3a850a2e1f4

4021442241012 has 144 divisors (see below), whose sum is σ = 11744729348352. Its totient is φ = 1136424038400.

The previous prime is 4021442241007. The next prime is 4021442241023. The reversal of 4021442241012 is 2101422441204.

4021442241012 is a `hidden beast` number, since 4 + 0 + 214 + 4 + 22 + 410 + 12 = 666.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 24530388 + ... + 24693780.

Almost surely, 24021442241012 is an apocalyptic number.

4021442241012 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4021442241012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5872364674176).

4021442241012 is an abundant number, since it is smaller than the sum of its proper divisors (7723287107340).

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

4021442241012 is a wasteful number, since it uses less digits than its factorization.

4021442241012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164478 (or 164473 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 27.

Adding to 4021442241012 its reverse (2101422441204), we get a palindrome (6122864682216).

The spelling of 4021442241012 in words is "four trillion, twenty-one billion, four hundred forty-two million, two hundred forty-one thousand, twelve".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 101 126 202 252 303 404 606 707 909 967 1212 1414 1818 1934 2121 2828 2901 3636 3868 4242 5802 6363 6769 8484 8703 11604 12726 13538 17406 20307 25452 27076 34812 40614 60921 81228 97667 121842 163393 195334 243684 293001 326786 390668 490179 586002 653572 683669 879003 980358 1143751 1172004 1367338 1470537 1758006 1960716 2051007 2287502 2734676 2941074 3431253 3516012 4102014 4575004 5882148 6153021 6862506 8204028 10293759 12306042 13725012 16502693 20587518 24612084 33005386 41175036 49508079 66010772 99016158 115518851 148524237 158001031 198032316 231037702 297048474 316002062 346556553 462075404 474003093 594096948 632004124 693113106 948006186 1039669659 1106007217 1386226212 1422009279 1896012372 2079339318 2212014434 2844018558 3318021651 4158678636 4424028868 5688037116 6636043302 9954064953 13272086604 15958104131 19908129906 31916208262 39816259812 47874312393 63832416524 95748624786 111706728917 143622937179 191497249572 223413457834 287245874358 335120186751 446826915668 574491748716 670240373502 1005360560253 1340480747004 2010721120506 4021442241012