Search a number
-
+
240213400999 = 112132234112457
BaseRepresentation
bin1101111110110111010…
…1011001110110100111
3211222000212220010010121
43133231311121312213
512413424112312444
6302204050502411
723232466135105
oct3375565316647
9758025803117
10240213400999
1192968225600
123a67ab94a07
131986266b600
14b8aab5cc75
1563ada61084
hex37edd59da7

240213400999 has 72 divisors (see below), whose sum is σ = 305640984096. Its totient is φ = 188095564800.

The previous prime is 240213400961. The next prime is 240213401017. The reversal of 240213400999 is 999004312042.

It is a happy number.

It is not a de Polignac number, because 240213400999 - 29 = 240213400487 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (240213400939) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 19277179 + ... + 19289635.

It is an arithmetic number, because the mean of its divisors is an integer number (4245013668).

Almost surely, 2240213400999 is an apocalyptic number.

240213400999 is a deficient number, since it is larger than the sum of its proper divisors (65427583097).

240213400999 is a wasteful number, since it uses less digits than its factorization.

240213400999 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12569 (or 12545 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 43.

The spelling of 240213400999 in words is "two hundred forty billion, two hundred thirteen million, four hundred thousand, nine hundred ninety-nine".

Divisors: 1 11 13 23 41 121 143 169 253 299 451 533 943 1573 1859 2783 3289 3887 4961 5863 6929 10373 12259 12457 20449 36179 42757 64493 76219 114103 134849 137027 159367 161941 286511 470327 510737 838409 1483339 1507297 1753037 1781351 2105233 3151621 3724643 5618107 6639581 11746951 19283407 19594861 23157563 34667831 40971073 48420359 61799177 73035391 86314553 129216461 152710363 254733193 450681803 532623949 803389301 949460083 1421381071 1679813993 1985234719 5858863439 10444060913 18477953923 21837581909 240213400999