Search a number
-
+
40102333214034 = 237132329110116187
BaseRepresentation
bin10010001111001000011010…
…10100110110110101010010
312020222202010112220220111210
421013210031110312311102
520224014034300322114
6221142431344120550
711306204126026350
oct1107441524666522
9166882115826453
1040102333214034
11118613386a7433
1245b8126306156
13194b8315ab210
149c8d6b3727d0
15498248bd9259
hex24790d536d52

40102333214034 has 128 divisors (see below), whose sum is σ = 106557232803840. Its totient is φ = 9767746162944.

The previous prime is 40102333214029. The next prime is 40102333214161. The reversal of 40102333214034 is 43041233320104.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 40102333213992 and 40102333214010.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 54693912 + ... + 55422275.

It is an arithmetic number, because the mean of its divisors is an integer number (832478381280).

Almost surely, 240102333214034 is an apocalyptic number.

40102333214034 is an abundant number, since it is smaller than the sum of its proper divisors (66454899589806).

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

40102333214034 is a wasteful number, since it uses less digits than its factorization.

40102333214034 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110116264.

The product of its (nonzero) digits is 20736, while the sum is 30.

Adding to 40102333214034 its reverse (43041233320104), we get a palindrome (83143566534138).

The spelling of 40102333214034 in words is "forty trillion, one hundred two billion, three hundred thirty-three million, two hundred fourteen thousand, thirty-four".

Divisors: 1 2 3 6 7 13 14 21 23 26 29 39 42 46 58 69 78 87 91 138 161 174 182 203 273 299 322 377 406 483 546 598 609 667 754 897 966 1131 1218 1334 1794 2001 2093 2262 2639 4002 4186 4669 5278 6279 7917 8671 9338 12558 14007 15834 17342 26013 28014 52026 60697 121394 182091 364182 110116187 220232374 330348561 660697122 770813309 1431510431 1541626618 2312439927 2532672301 2863020862 3193369423 4294531293 4624879854 5065344602 6386738846 7598016903 8589062586 9580108269 10020573017 15196033806 17728706107 19160216538 20041146034 22353585961 30061719051 32924739913 35457412214 41513802499 44707171922 53186118321 60123438102 65849479826 67060757883 73447496729 83027604998 98774219739 106372236642 124541407497 134121515766 146894993458 197548439478 220342490187 230473179391 249082814994 290596617493 440684980374 460946358782 514132477103 581193234986 691419538173 871789852479 954817457477 1028264954206 1382839076346 1542397431309 1743579704958 1909634914954 2864452372431 3084794862618 5728904744862 6683722202339 13367444404678 20051166607017 40102333214034