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140077127808 = 2732110272
BaseRepresentation
bin1000001001110100111…
…1110101100010000000
3111101120012211101012200
42002131033311202000
54243334221042213
6144203414553200
713056145640502
oct2023517654200
9441505741180
10140077127808
1154451983432
1223193668800
1310294857c57
146acb987d72
15399c8a9273
hex209d3f5880

140077127808 has 72 divisors (see below), whose sum is σ = 403123084455. Its totient is φ = 46688141568.

The previous prime is 140077127807. The next prime is 140077127849. The reversal of 140077127808 is 808721770041.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in only one way, i.e., 70038563904 + 70038563904 = 264648^2 + 264648^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is an ABA number since it can be written as A⋅BA, here for A=2, B=264648.

It is not an unprimeable number, because it can be changed into a prime (140077127807) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 12697591 + ... + 12708617.

Almost surely, 2140077127808 is an apocalyptic number.

140077127808 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

140077127808 is an abundant number, since it is smaller than the sum of its proper divisors (263045956647).

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

140077127808 is an frugal number, since it uses more digits than its factorization.

140077127808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22074 (or 11032 counting only the distinct ones).

The product of its (nonzero) digits is 175616, while the sum is 45.

Adding to 140077127808 its reverse (808721770041), we get a palindrome (948798897849).

The spelling of 140077127808 in words is "one hundred forty billion, seventy-seven million, one hundred twenty-seven thousand, eight hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 1152 11027 22054 33081 44108 66162 88216 99243 132324 176432 198486 264648 352864 396972 529296 705728 793944 1058592 1411456 1587888 2117184 3175776 4234368 6351552 12703104 121594729 243189458 364784187 486378916 729568374 972757832 1094352561 1459136748 1945515664 2188705122 2918273496 3891031328 4377410244 5836546992 7782062656 8754820488 11673093984 15564125312 17509640976 23346187968 35019281952 46692375936 70038563904 140077127808