Search a number
-
+
40635000351 = 3411196433733
BaseRepresentation
bin100101110110000010…
…001110011000011111
310212212220220220020000
4211312002032120133
51131210030002401
630400101025343
72635654542531
oct456602163037
9125786826200
1040635000351
1116262442220
127a606b5253
133aa77b410a
141d76a65851
1510cc61a186
hex97608e61f

40635000351 has 80 divisors (see below), whose sum is σ = 69832371840. Its totient is φ = 23288575680.

The previous prime is 40635000337. The next prime is 40635000359. The reversal of 40635000351 is 15300053604.

40635000351 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 40635000351 - 213 = 40634992159 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40635000359) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 10883481 + ... + 10887213.

It is an arithmetic number, because the mean of its divisors is an integer number (872904648).

Almost surely, 240635000351 is an apocalyptic number.

40635000351 is the 100791-st decagonal number.

40635000351 is a deficient number, since it is larger than the sum of its proper divisors (29197371489).

40635000351 is a wasteful number, since it uses less digits than its factorization.

40635000351 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4418 (or 4409 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 27.

Adding to 40635000351 its reverse (15300053604), we get a palindrome (55935053955).

The spelling of 40635000351 in words is "forty billion, six hundred thirty-five million, three hundred fifty-one", and thus it is an aban number.

Divisors: 1 3 9 11 19 27 33 57 81 99 171 209 297 513 627 643 891 1539 1881 1929 3733 5643 5787 7073 11199 12217 16929 17361 21219 33597 36651 41063 52083 63657 70927 100791 109953 123189 134387 190971 212781 302373 329859 369567 403161 572913 638343 780197 989577 1108701 1209483 1915029 2340591 2400319 3326103 3628449 5745087 7021773 7200957 10885347 21065319 21602871 26403509 45606061 63195957 64808613 79210527 136818183 194425839 237631581 410454549 501666671 712894743 1231363647 1505000013 2138684229 3694090941 4515000039 13545000117 40635000351