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3421222121504 = 2511471997103553
BaseRepresentation
bin110001110010010000101…
…110101011000000100000
3110010001202212000010020002
4301302100232223000200
5422023130330342004
611135404315235132
7502114034133335
oct61622056530040
913101685003202
103421222121504
1110a9a28773070
12473080448aa8
131ba809ab4295
14bb8337cc98c
155ded931361e
hex31c90bab020

3421222121504 has 96 divisors (see below), whose sum is σ = 7508019568896. Its totient is φ = 1521236869120.

The previous prime is 3421222121497. The next prime is 3421222121573. The reversal of 3421222121504 is 4051212221243.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32986592 + ... + 33090144.

It is an arithmetic number, because the mean of its divisors is an integer number (78208537176).

Almost surely, 23421222121504 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3421222121504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3754009784448).

3421222121504 is an abundant number, since it is smaller than the sum of its proper divisors (4086797447392).

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

3421222121504 is a wasteful number, since it uses less digits than its factorization.

3421222121504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105618 (or 105610 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 29.

Adding to 3421222121504 its reverse (4051212221243), we get a palindrome (7472434342747).

The spelling of 3421222121504 in words is "three trillion, four hundred twenty-one billion, two hundred twenty-two million, one hundred twenty-one thousand, five hundred four".

Divisors: 1 2 4 8 11 16 22 32 44 47 88 94 176 188 352 376 517 752 1034 1504 1997 2068 3994 4136 7988 8272 15976 16544 21967 31952 43934 63904 87868 93859 103553 175736 187718 207106 351472 375436 414212 702944 750872 828424 1032449 1139083 1501744 1656848 2064898 2278166 3003488 3313696 4129796 4556332 4866991 8259592 9112664 9733982 16519184 18225328 19467964 33038368 36450656 38935928 53536901 77871856 107073802 155743712 206795341 214147604 413590682 428295208 827181364 856590416 1654362728 1713180832 2274748751 3308725456 4549497502 6617450912 9098995004 9719381027 18197990008 19438762054 36395980016 38877524108 72791960032 77755048216 106913191297 155510096432 213826382594 311020192864 427652765188 855305530376 1710611060752 3421222121504