Search a number
-
+
40510541214 = 232111328615501
BaseRepresentation
bin100101101110100111…
…011100110110011110
310212120020201201101100
4211232213130312132
51130431144304324
630335453253530
72632613630103
oct455647346636
9125506651340
1040510541214
11161a9165230
127a26a942a6
133a87a88660
141d64308aaa
1510c17334c9
hex96e9dcd9e

40510541214 has 96 divisors (see below), whose sum is σ = 103172535648. Its totient is φ = 11325600000.

The previous prime is 40510541207. The next prime is 40510541257. The reversal of 40510541214 is 41214501504.

40510541214 is a `hidden beast` number, since 405 + 1 + 0 + 5 + 41 + 214 = 666.

It is a super-2 number, since 2×405105412142 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7361464 + ... + 7366964.

It is an arithmetic number, because the mean of its divisors is an integer number (1074713913).

Almost surely, 240510541214 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40510541214, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51586267824).

40510541214 is an abundant number, since it is smaller than the sum of its proper divisors (62661994434).

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

40510541214 is a wasteful number, since it uses less digits than its factorization.

40510541214 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8394 (or 8391 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

The spelling of 40510541214 in words is "forty billion, five hundred ten million, five hundred forty-one thousand, two hundred fourteen".

Divisors: 1 2 3 6 9 11 13 18 22 26 33 39 66 78 99 117 143 198 234 286 429 858 1287 2574 2861 5501 5722 8583 11002 16503 17166 25749 31471 33006 37193 49509 51498 60511 62942 71513 74386 94413 99018 111579 121022 143026 181533 188826 214539 223158 283239 334737 363066 409123 429078 544599 566478 643617 669474 786643 818246 1089198 1227369 1287234 1573286 2359929 2454738 3682107 4719858 7079787 7364214 14159574 15738361 31476722 47215083 94430166 141645249 173121971 204598693 283290498 346243942 409197386 519365913 613796079 1038731826 1227592158 1558097739 1841388237 2250585623 3116195478 3682776474 4501171246 6751756869 13503513738 20255270607 40510541214