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140122201304424 = 233176748710525507
BaseRepresentation
bin11111110111000010111110…
…000010001010110101101000
3200101010112220010120000002010
4133313002332002022311220
5121331230232013220144
61214003130045035520
741341331526162453
oct3767027602126550
9611115803500063
10140122201304424
1140713545726a19
1213870755855ba0
13602560b995061
142685d44b3049a
15112ed7786a5b9
hex7f70be08ad68

140122201304424 has 128 divisors (see below), whose sum is σ = 377220734069760. Its totient is φ = 43214864698368.

The previous prime is 140122201304369. The next prime is 140122201304429. The reversal of 140122201304424 is 424403102221041.

It is a junction number, because it is equal to n+sod(n) for n = 140122201304391 and 140122201304400.

It is not an unprimeable number, because it can be changed into a prime (140122201304429) 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, 8049879 + ... + 18575385.

It is an arithmetic number, because the mean of its divisors is an integer number (2947036984920).

Almost surely, 2140122201304424 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 140122201304424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188610367034880).

140122201304424 is an abundant number, since it is smaller than the sum of its proper divisors (237098532765336).

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

140122201304424 is a wasteful number, since it uses less digits than its factorization.

140122201304424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10526087 (or 10526083 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 30.

Adding to 140122201304424 its reverse (424403102221041), we get a palindrome (564525303525465).

The spelling of 140122201304424 in words is "one hundred forty trillion, one hundred twenty-two billion, two hundred one million, three hundred four thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 17 24 34 51 67 68 102 134 136 201 204 268 402 408 487 536 804 974 1139 1461 1608 1948 2278 2922 3417 3896 4556 5844 6834 8279 9112 11688 13668 16558 24837 27336 32629 33116 49674 65258 66232 97887 99348 130516 195774 198696 261032 391548 554693 783096 1109386 1664079 2218772 3328158 4437544 6656316 10525507 13312632 21051014 31576521 42102028 63153042 84204056 126306084 178933619 252612168 357867238 536800857 705208969 715734476 1073601714 1410417938 1431468952 2115626907 2147203428 2820835876 4231253814 4294406856 5125921909 5641671752 8462507628 10251843818 11988552473 15377765727 16925015256 20503687636 23977104946 30755531454 35965657419 41007375272 47954209892 61511062908 71931314838 87140672453 95908419784 123022125816 143862629676 174281344906 261422017359 287725259352 343436767903 348562689812 522844034718 686873535806 697125379624 1030310303709 1045688069436 1373747071612 2060620607418 2091376138872 2747494143224 4121241214836 5838425054351 8242482429672 11676850108702 17515275163053 23353700217404 35030550326106 46707400434808 70061100652212 140122201304424