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4243401653140 = 2251389313585877
BaseRepresentation
bin111101101111111110011…
…100101011101110010100
3120000122221221211210210101
4331233332130223232110
51024010441310400030
613005220344103444
7615401306632036
oct75577634535624
916018857753711
104243401653140
1113966866761a1
12586496764b84
1324a1c6b51570
1410954b6a9c56
15755a98987ca
hex3dbfe72bb94

4243401653140 has 96 divisors (see below), whose sum is σ = 9735464420640. Its totient is φ = 1544237899776.

The previous prime is 4243401653119. The next prime is 4243401653143. The reversal of 4243401653140 is 413561043424.

It can be written as a sum of positive squares in 16 ways, for example, as 4184471177604 + 58930475536 = 2045598^2 + 242756^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 4243401653140.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4243401653143) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6949882 + ... + 7535758.

It is an arithmetic number, because the mean of its divisors is an integer number (101411087715).

Almost surely, 24243401653140 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 4243401653140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4867732210320).

4243401653140 is an abundant number, since it is smaller than the sum of its proper divisors (5492062767500).

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

4243401653140 is a wasteful number, since it uses less digits than its factorization.

4243401653140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 586301 (or 586299 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 37.

Adding to 4243401653140 its reverse (413561043424), we get a palindrome (4656962696564).

The spelling of 4243401653140 in words is "four trillion, two hundred forty-three billion, four hundred one million, six hundred fifty-three thousand, one hundred forty".

Divisors: 1 2 4 5 10 13 20 26 52 65 89 130 178 260 313 356 445 626 890 1157 1252 1565 1780 2314 3130 4069 4628 5785 6260 8138 11570 16276 20345 23140 27857 40690 55714 81380 111428 139285 278570 362141 557140 585877 724282 1171754 1448564 1810705 2343508 2929385 3621410 5858770 7242820 7616401 11717540 15232802 30465604 38082005 52143053 76164010 104286106 152328020 183379501 208572212 260715265 366759002 521430530 677859689 733518004 916897505 1042861060 1355719378 1833795010 2383933513 2711438756 3389298445 3667590020 4767867026 6778596890 9535734052 11919667565 13557193780 16320775589 23839335130 32641551178 47678670260 65283102356 81603877945 163207755890 212170082657 326415511780 424340165314 848680330628 1060850413285 2121700826570 4243401653140