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128640314470701 = 311193130937213929
BaseRepresentation
bin11101001111111101101000…
…001111110111000100101101
3121212110220010200210210111110
4131033331220033313010231
5113330120331001030301
61133332313350142233
736044645625331425
oct3517755017670455
9555426120723443
10128640314470701
1137a97061966520
1212517431051979
1356a1963c27107
1423aa31dc1d485
15ed136a83c0d6
hex74ff683f712d

128640314470701 has 64 divisors (see below), whose sum is σ = 203322357964800. Its totient is φ = 71475227366400.

The previous prime is 128640314470699. The next prime is 128640314470807. The reversal of 128640314470701 is 107074413046821.

It is a happy number.

It is not a de Polignac number, because 128640314470701 - 21 = 128640314470699 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (128640314470201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 601215505 + ... + 601429433.

It is an arithmetic number, because the mean of its divisors is an integer number (3176911843200).

Almost surely, 2128640314470701 is an apocalyptic number.

128640314470701 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

128640314470701 is a deficient number, since it is larger than the sum of its proper divisors (74682043494099).

128640314470701 is a wasteful number, since it uses less digits than its factorization.

128640314470701 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 244930.

The product of its (nonzero) digits is 903168, while the sum is 48.

The spelling of 128640314470701 in words is "one hundred twenty-eight trillion, six hundred forty billion, three hundred fourteen million, four hundred seventy thousand, seven hundred one".

Divisors: 1 3 11 19 31 33 57 93 209 341 589 627 1023 1767 6479 19437 30937 92811 213929 340307 587803 641787 959047 1020921 1763409 2353219 2877141 4064651 6465833 6631799 7059657 10549517 12193953 18221893 19397499 19895397 31648551 44711161 54665679 72949789 126004181 134133483 200440823 218849367 378012543 601322469 1386045991 4158137973 6618321473 19854964419 72801536203 125748107987 205167965663 218404608609 377244323961 615503896989 1383229187857 2256847622293 3898191347597 4149687563571 6770542866879 11694574042791 42880104823567 128640314470701