Search a number
-
+
40300010440310 = 25172341271927631
BaseRepresentation
bin10010010100111000100111…
…10011101000011001110110
312021200122101000111110110202
421022130103303220121312
520240233410133042220
6221413322541120502
711326402553521325
oct1112342363503166
9167618330443422
1040300010440310
1111928158302325
12462a4b3b59132
13196437561046a
149d4760b780bc
1549d46828e275
hex24a713ce8676

40300010440310 has 128 divisors (see below), whose sum is σ = 82404355719168. Its totient is φ = 14105912832000.

The previous prime is 40300010440303. The next prime is 40300010440321. The reversal of 40300010440310 is 1304401000304.

It is a happy number.

40300010440310 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×403000104403102 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 42980195 + ... + 43907825.

It is an arithmetic number, because the mean of its divisors is an integer number (643784029056).

Almost surely, 240300010440310 is an apocalyptic number.

40300010440310 is an abundant number, since it is smaller than the sum of its proper divisors (42104345278858).

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

40300010440310 is a wasteful number, since it uses less digits than its factorization.

40300010440310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 927990.

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 40300010440310 its reverse (1304401000304), we get a palindrome (41604411440614).

The spelling of 40300010440310 in words is "forty trillion, three hundred billion, ten million, four hundred forty thousand, three hundred ten".

Divisors: 1 2 5 10 17 23 34 41 46 82 85 115 170 205 230 271 391 410 542 697 782 943 1355 1394 1886 1955 2710 3485 3910 4607 4715 6233 6970 9214 9430 11111 12466 16031 22222 23035 31165 32062 46070 55555 62330 80155 105961 111110 160310 188887 211922 255553 377774 511106 529805 927631 944435 1059610 1277765 1855262 1888870 2555530 4344401 4638155 8688802 9276310 15769727 21335513 21722005 31539454 38032871 42671026 43444010 76065742 78848635 106677565 157697270 190164355 213355130 251388001 362703721 380328710 502776002 646558807 725407442 874756033 1256940005 1293117614 1749512066 1813518605 2513880010 3232794035 3627037210 4273596017 4373780165 5781924023 6465588070 8547192034 8747560330 10306908041 11563848046 14870852561 20613816082 21367980085 28909620115 29741705122 42735960170 51534540205 57819240230 74354262805 98292708391 103069080410 148708525610 175217436697 196585416782 237058884943 350434873394 474117769886 491463541955 876087183485 982927083910 1185294424715 1752174366970 2370588849430 4030001044031 8060002088062 20150005220155 40300010440310