Search a number
-
+
100414142202430 = 25729477913322137
BaseRepresentation
bin10110110101001101111101…
…010001101100001000111110
3111011112111110012221012220201
4112311031331101230020332
5101130141130400434210
6553321341535234114
730102453023604160
oct2665157521541076
9434474405835821
10100414142202430
1129aa4442533581
12b318b2507893a
134405022691ab4
141ab20db306930
15b92007a3a53a
hex5b537d46c23e

100414142202430 has 128 divisors (see below), whose sum is σ = 220998282854400. Its totient is φ = 32121481706496.

The previous prime is 100414142202427. The next prime is 100414142202481. The reversal of 100414142202430 is 34202241414001.

It is a congruent number.

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, 876322 + ... + 14198458.

It is an arithmetic number, because the mean of its divisors is an integer number (1726549084800).

Almost surely, 2100414142202430 is an apocalyptic number.

100414142202430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

100414142202430 is an abundant number, since it is smaller than the sum of its proper divisors (120584140651970).

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

100414142202430 is a wasteful number, since it uses less digits than its factorization.

100414142202430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13322306.

The product of its (nonzero) digits is 6144, while the sum is 28.

Adding to 100414142202430 its reverse (34202241414001), we get a palindrome (134616383616431).

The spelling of 100414142202430 in words is "one hundred trillion, four hundred fourteen billion, one hundred forty-two million, two hundred two thousand, four hundred thirty".

Divisors: 1 2 5 7 10 14 29 35 47 58 70 79 94 145 158 203 235 290 329 395 406 470 553 658 790 1015 1106 1363 1645 2030 2291 2726 2765 3290 3713 4582 5530 6815 7426 9541 11455 13630 16037 18565 19082 22910 25991 32074 37130 47705 51982 80185 95410 107677 129955 160370 215354 259910 538385 753739 1076770 1507478 3768695 7537390 13322137 26644274 66610685 93254959 133221370 186509918 386341973 466274795 626140439 772683946 932549590 1052448823 1252280878 1931709865 2104897646 2704393811 3130702195 3863419730 4382983073 5262244115 5408787622 6261404390 7367141761 8765966146 10524488230 13521969055 14734283522 18158072731 21914915365 27043938110 30521015867 36316145462 36835708805 43829830730 49465094681 61042031734 73671417610 90790363655 98930189362 127106509117 152605079335 181580727310 213647111069 247325473405 254213018234 305210158670 346255662767 427294222138 494650946810 635532545585 692511325534 1068235555345 1271065091170 1434487745749 1731278313835 2136471110690 2868975491498 3462556627670 7172438728745 10041414220243 14344877457490 20082828440486 50207071101215 100414142202430