Search a number
-
+
140397841809 = 34172312792
BaseRepresentation
bin1000001011000001011…
…1010000110110010001
3111102101120022100010000
42002300113100312101
54300013321414214
6144255313000213
713100121651651
oct2026027206621
9442346270100
10140397841809
11545a6a15625
1223262b53069
1310316129154
146b1c3d0361
1539bab0a809
hex20b05d0d91

140397841809 has 135 divisors (see below), whose sum is σ = 233162543691. Its totient is φ = 84171934080.

The previous prime is 140397841777. The next prime is 140397841817. The reversal of 140397841809 is 908148793041.

The square root of 140397841809 is 374697.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 109306278225 + 31091563584 = 330615^2 + 176328^2 .

It is not a de Polignac number, because 140397841809 - 25 = 140397841777 is a prime.

It is not an unprimeable number, because it can be changed into a prime (140397841889) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 1777187832 + ... + 1777187910.

Almost surely, 2140397841809 is an apocalyptic number.

140397841809 is the 374697-th square number.

140397841809 is the 187349-th centered octagonal number.

It is an amenable number.

140397841809 is a deficient number, since it is larger than the sum of its proper divisors (92764701882).

140397841809 is an frugal number, since it uses more digits than its factorization.

140397841809 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 266 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 54.

The spelling of 140397841809 in words is "one hundred forty billion, three hundred ninety-seven million, eight hundred forty-one thousand, eight hundred nine".

Divisors: 1 3 9 17 27 31 51 79 81 93 153 237 279 289 459 527 711 837 867 961 1343 1377 1581 2133 2449 2511 2601 2883 4029 4743 6241 6399 7347 7803 8649 8959 12087 14229 16337 18723 22041 22831 23409 25947 26877 36261 41633 42687 49011 56169 66123 68493 75919 77841 80631 106097 108783 124899 147033 168507 193471 198369 205479 227757 241893 277729 318291 374697 441099 505521 580413 616437 683271 707761 725679 833187 954873 1124091 1290623 1323297 1741239 1803649 1849311 2049813 2123283 2499561 2864619 3289007 3372273 3871869 5223717 5410947 5997601 6149439 6369849 7498683 8593857 9867021 11615607 15671151 16232841 17992803 19109547 21940591 22496049 29601063 34846821 48698523 53978409 55913119 57328641 65821773 88803189 101959217 104540463 146095569 161935227 167739357 197465319 266409567 305877651 485805681 503218071 592395957 917632953 1509654213 1733306689 1777187871 2752898859 4528962639 5199920067 8258696577 15599760201 46799280603 140397841809