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4042400214244 = 2272294345736191
BaseRepresentation
bin111010110100110001110…
…101000010110011100100
3112022110010211011202101111
4322310301311002303210
51012212313423323434
612333015241434404
7565024305612100
oct72646165026344
915273124152344
104042400214244
111319410599147
1255353b79ba04
132342732102c2
14dd9205c4900
157024355b964
hex3ad31d42ce4

4042400214244 has 144 divisors (see below), whose sum is σ = 8730213972480. Its totient is φ = 1630196789760.

The previous prime is 4042400214187. The next prime is 4042400214253. The reversal of 4042400214244 is 4424120042404.

It is a happy number.

4042400214244 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 111678189 + ... + 111714379.

It is an arithmetic number, because the mean of its divisors is an integer number (60626485920).

Almost surely, 24042400214244 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 4042400214244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4365106986240).

4042400214244 is an abundant number, since it is smaller than the sum of its proper divisors (4687813758236).

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

4042400214244 is a wasteful number, since it uses less digits than its factorization.

4042400214244 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36738 (or 36729 counting only the distinct ones).

The product of its (nonzero) digits is 32768, while the sum is 31.

Adding to 4042400214244 its reverse (4424120042404), we get a palindrome (8466520256648).

The spelling of 4042400214244 in words is "four trillion, forty-two billion, four hundred million, two hundred fourteen thousand, two hundred forty-four".

Divisors: 1 2 4 7 14 28 29 43 49 58 86 98 116 172 196 203 301 406 457 602 812 914 1204 1247 1421 1828 2107 2494 2842 3199 4214 4988 5684 6398 8428 8729 12796 13253 17458 19651 22393 26506 34916 36191 39302 44786 53012 61103 72382 78604 89572 92771 122206 137557 144764 185542 244412 253337 275114 371084 506674 550228 569879 649397 962899 1013348 1049539 1139758 1298794 1556213 1773359 1925798 2099078 2279516 2597588 3112426 3546718 3851596 3989153 4198156 6224852 7093436 7346773 7978306 10893491 14693546 15956612 16539287 21786982 27924071 29387092 33078574 43573964 45130177 51427411 55848142 66157148 76254437 90260354 102854822 111696284 115775009 152508874 180520708 205709644 231550018 305017748 315911239 463100036 479639323 631822478 711189341 810425063 959278646 1263644956 1422378682 1620850126 1918557292 2211378673 2844757364 3241700252 3357475261 4422757346 4978325387 6714950522 8845514692 9956650774 13429901044 19913301548 20624490889 23502326827 34848277709 41248981778 47004653654 69696555418 82497963556 94009307308 139393110836 144371436223 288742872446 577485744892 1010600053561 2021200107122 4042400214244