Search a number
-
+
102413404440402 = 231171148114757047
BaseRepresentation
bin10111010010010011111010…
…100101111000011101010010
3111102121121220020112212122020
4113102103322211320131102
5101410420123014043102
61001452022443352310
730400060430333436
oct2722237245703522
9442547806485566
10102413404440402
112a6a530a992880
12b5a04a1b22696
13451b709124a93
141b40b99bcc9c6
15bc901ad86bbc
hex5d24fa978752

102413404440402 has 64 divisors (see below), whose sum is σ = 226747591170048. Its totient is φ = 30576599312000.

The previous prime is 102413404440367. The next prime is 102413404440407. The reversal of 102413404440402 is 204044404314201.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (102413404440407) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 438558 + ... + 14318489.

It is an arithmetic number, because the mean of its divisors is an integer number (3542931112032).

Almost surely, 2102413404440402 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102413404440402, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113373795585024).

102413404440402 is an abundant number, since it is smaller than the sum of its proper divisors (124334186729646).

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

102413404440402 is a wasteful number, since it uses less digits than its factorization.

102413404440402 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14758615.

The product of its (nonzero) digits is 49152, while the sum is 33.

Adding to 102413404440402 its reverse (204044404314201), we get a palindrome (306457808754603).

The spelling of 102413404440402 in words is "one hundred two trillion, four hundred thirteen billion, four hundred four million, four hundred forty thousand, four hundred two".

Divisors: 1 2 3 6 11 22 33 66 71 142 213 426 781 1481 1562 2343 2962 4443 4686 8886 16291 32582 48873 97746 105151 210302 315453 630906 1156661 2313322 3469983 6939966 14757047 29514094 44271141 88542282 162327517 324655034 486982551 973965102 1047750337 2095500674 3143251011 6286502022 11525253707 21855186607 23050507414 34575761121 43710373214 65565559821 69151522242 131131119642 240407052677 480814105354 721221158031 1442442316062 1551718249097 3103436498194 4655154747291 9310309494582 17068900740067 34137801480134 51206702220201 102413404440402