Search a number
-
+
100414303404 = 22337337671093
BaseRepresentation
bin101110110000100101…
…0001010110010101100
3100121012001020010200020
41131201022022302230
53121122030202104
6114044003002140
710153234332102
oct1354112126254
9317161203606
10100414303404
1139649290408
1217564669350
1396135bb59c
144c080a9c72
15292a7c62d9
hex176128acac

100414303404 has 48 divisors (see below), whose sum is σ = 241346877408. Its totient is φ = 32470115328.

The previous prime is 100414303357. The next prime is 100414303421. The reversal of 100414303404 is 404303414001.

It is a super-2 number, since 2×1004143034042 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 185919 + ... + 485174.

It is an arithmetic number, because the mean of its divisors is an integer number (5028059946).

Almost surely, 2100414303404 is an apocalyptic number.

It is an amenable number.

100414303404 is an abundant number, since it is smaller than the sum of its proper divisors (140932574004).

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

100414303404 is a wasteful number, since it uses less digits than its factorization.

100414303404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 671474 (or 671472 counting only the distinct ones).

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

Adding to 100414303404 its reverse (404303414001), we get a palindrome (504717717405).

The spelling of 100414303404 in words is "one hundred billion, four hundred fourteen million, three hundred three thousand, four hundred four".

Divisors: 1 2 3 4 6 12 37 74 111 148 222 337 444 674 1011 1348 2022 4044 12469 24938 37407 49876 74814 149628 671093 1342186 2013279 2684372 4026558 8053116 24830441 49660882 74491323 99321764 148982646 226158341 297965292 452316682 678475023 904633364 1356950046 2713900092 8367858617 16735717234 25103575851 33471434468 50207151702 100414303404