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104214401430 = 23547631117133
BaseRepresentation
bin110000100001110101…
…0011001000110010110
3100221222212210010011120
41201003222121012112
53201412341321210
6115513032144410
710346346540066
oct1410352310626
9327885703146
10104214401430
1140219349297
1218245238106
139a9a98b4b9
145088a653a6
152a9e211270
hex1843a99196

104214401430 has 64 divisors (see below), whose sum is σ = 255843145728. Its totient is φ = 27155882880.

The previous prime is 104214401393. The next prime is 104214401461. The reversal of 104214401430 is 34104412401.

It is a self number, because there is not a number n which added to its sum of digits gives 104214401430.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 831144 + ... + 948276.

It is an arithmetic number, because the mean of its divisors is an integer number (3997549152).

Almost surely, 2104214401430 is an apocalyptic number.

104214401430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 104214401430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127921572864).

104214401430 is an abundant number, since it is smaller than the sum of its proper divisors (151628744298).

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

104214401430 is a wasteful number, since it uses less digits than its factorization.

104214401430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117821.

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 104214401430 its reverse (34104412401), we get a palindrome (138318813831).

The spelling of 104214401430 in words is "one hundred four billion, two hundred fourteen million, four hundred one thousand, four hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 47 94 141 235 282 470 631 705 1262 1410 1893 3155 3786 6310 9465 18930 29657 59314 88971 117133 148285 177942 234266 296570 351399 444855 585665 702798 889710 1171330 1756995 3513990 5505251 11010502 16515753 27526255 33031506 55052510 73910923 82578765 147821846 165157530 221732769 369554615 443465538 739109230 1108663845 2217327690 3473813381 6947626762 10421440143 17369066905 20842880286 34738133810 52107200715 104214401430