Search a number
-
+
40321040204130 = 2357833929588779
BaseRepresentation
bin10010010101011111110010…
…10001110100000101100010
312021202122122121201011010020
421022233321101310011202
520241104442243013010
6221431121414014310
711331045651542160
oct1112577121640542
9167678577634106
1040321040204130
111193606a034124
1246325a2947396
1319663474468aa
149d5797b18230
1549dc9961a470
hex24abf9474162

40321040204130 has 128 divisors (see below), whose sum is σ = 111955998873600. Its totient is φ = 9102865857024.

The previous prime is 40321040204083. The next prime is 40321040204177. The reversal of 40321040204130 is 3140204012304.

It is an interprime number because it is at equal distance from previous prime (40321040204083) and next prime (40321040204177).

It is a self number, because there is not a number n which added to its sum of digits gives 40321040204130.

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, 68188081 + ... + 68776859.

It is an arithmetic number, because the mean of its divisors is an integer number (874656241200).

Almost surely, 240321040204130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40321040204130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55977999436800).

40321040204130 is an abundant number, since it is smaller than the sum of its proper divisors (71634958669470).

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

40321040204130 is a wasteful number, since it uses less digits than its factorization.

40321040204130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 592808.

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 40321040204130 its reverse (3140204012304), we get a palindrome (43461244216434).

The spelling of 40321040204130 in words is "forty trillion, three hundred twenty-one billion, forty million, two hundred four thousand, one hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 70 83 105 166 210 249 415 498 581 830 1162 1245 1743 2490 2905 3486 3929 5810 7858 8715 11787 17430 19645 23574 27503 39290 55006 58935 82509 117870 137515 165018 275030 326107 412545 588779 652214 825090 978321 1177558 1630535 1766337 1956642 2282749 2943895 3261070 3532674 4121453 4565498 4891605 5887790 6848247 8242906 8831685 9783210 11413745 12364359 13696494 17663370 20607265 22827490 24728718 34241235 41214530 48868657 61821795 68482470 97737314 123643590 146605971 244343285 293211942 342080599 488686570 684161198 733029855 1026241797 1466059710 1710402995 2052483594 2313312691 3420805990 4626625382 5131208985 6939938073 10262417970 11566563455 13879876146 16193188837 23133126910 32386377674 34699690365 48579566511 69399380730 80965944185 97159133022 161931888370 192004953353 242897832555 384009906706 485795665110 576014860059 960024766765 1152029720118 1344034673471 1920049533530 2688069346942 2880074300295 4032104020413 5760148600590 6720173367355 8064208040826 13440346734710 20160520102065 40321040204130