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140032044224 = 26174319115671
BaseRepresentation
bin1000001001101010001…
…1110110110011000000
3111101110001222220011022
42002122203312303000
54243241200403344
6144155124405012
713055060510462
oct2023243666300
9441401886138
10140032044224
1154429490476
1223180546768
1310288401587
146ac59b0132
1539989510ee
hex209a8f6cc0

140032044224 has 112 divisors (see below), whose sum is σ = 302659670016. Its totient is φ = 64023859200.

The previous prime is 140032044211. The next prime is 140032044239. The reversal of 140032044224 is 422440230041.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 140032044193 and 140032044202.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8927909 + ... + 8943579.

Almost surely, 2140032044224 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 140032044224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151329835008).

140032044224 is an abundant number, since it is smaller than the sum of its proper divisors (162627625792).

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

140032044224 is a wasteful number, since it uses less digits than its factorization.

140032044224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15934 (or 15924 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 26.

Adding to 140032044224 its reverse (422440230041), we get a palindrome (562472274265).

The spelling of 140032044224 in words is "one hundred forty billion, thirty-two million, forty-four thousand, two hundred twenty-four".

Divisors: 1 2 4 8 16 17 32 34 43 64 68 86 136 172 191 272 344 382 544 688 731 764 1088 1376 1462 1528 2752 2924 3056 3247 5848 6112 6494 8213 11696 12224 12988 15671 16426 23392 25976 31342 32852 46784 51952 62684 65704 103904 125368 131408 139621 207808 250736 262816 266407 279242 501472 525632 532814 558484 673853 1002944 1065628 1116968 1347706 2131256 2233936 2695412 2993161 4262512 4467872 5390824 5986322 8525024 8935744 10781648 11455501 11972644 17050048 21563296 22911002 23945288 43126592 45822004 47890576 50883737 91644008 95781152 101767474 128705923 183288016 191562304 203534948 257411846 366576032 407069896 514823692 733152064 814139792 1029647384 1628279584 2059294768 2188000691 3256559168 4118589536 4376001382 8237179072 8752002764 17504005528 35008011056 70016022112 140032044224