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140802806169 = 3417322412
BaseRepresentation
bin1000001100100010000…
…0000101000110011001
3111110102210022122210000
42003020200011012121
54301331004244134
6144403420443213
713113140051034
oct2031040050631
9443383278700
10140802806169
1154794571313
12233566a9509
131037bcb822c
146b5a0c801b
1539e144ee99
hex20c8805199

140802806169 has 45 divisors (see below), whose sum is σ = 212439369549. Its totient is φ = 92938700160.

The previous prime is 140802806161. The next prime is 140802806227. The reversal of 140802806169 is 961608208041.

The square root of 140802806169 is 375237.

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

140802806169 is a `hidden beast` number, since 1 + 4 + 0 + 8 + 0 + 28 + 0 + 616 + 9 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 64620182025 + 76182624144 = 254205^2 + 276012^2 .

It is not a de Polignac number, because 140802806169 - 23 = 140802806161 is a prime.

It is a super-2 number, since 2×1408028061692 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (140802806161) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 584243889 + ... + 584244129.

Almost surely, 2140802806169 is an apocalyptic number.

140802806169 is the 375237-th square number.

140802806169 is the 187619-th centered octagonal number.

It is an amenable number.

140802806169 is a deficient number, since it is larger than the sum of its proper divisors (71636563380).

140802806169 is an frugal number, since it uses more digits than its factorization.

140802806169 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 840 (or 417 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The spelling of 140802806169 in words is "one hundred forty billion, eight hundred two million, eight hundred six thousand, one hundred sixty-nine".

Divisors: 1 3 9 27 81 173 241 519 723 1557 2169 4671 6507 14013 19521 29929 41693 58081 89787 125079 174243 269361 375237 522729 808083 1125711 1568187 2424249 3377133 4704561 7212889 10048013 21638667 30144039 64916001 90432117 194748003 271296351 584244009 813889053 1738306249 5214918747 15644756241 46934268723 140802806169