Search a number
-
+
32421421444412 = 227112131061693793
BaseRepresentation
bin1110101111100101100110…
…10011101110110100111100
311020210110100121100002212002
413113302303103232310330
513222143032342210122
6152542110112201432
76554241022151060
oct727626323566474
9136713317302762
1032421421444412
11a36a9361a9500
1237775a4539278
131512433335a40
148012c2db9aa0
153b35500e9992
hex1d7cb34eed3c

32421421444412 has 144 divisors (see below), whose sum is σ = 76828571822016. Its totient is φ = 11649045196800.

The previous prime is 32421421444397. The next prime is 32421421444439. The reversal of 32421421444412 is 21444412412423.

It is a super-2 number, since 2×324214214444122 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 46383788 + ... + 47077580.

It is an arithmetic number, because the mean of its divisors is an integer number (533531748764).

Almost surely, 232421421444412 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 32421421444412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38414285911008).

32421421444412 is an abundant number, since it is smaller than the sum of its proper divisors (44407150377604).

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

32421421444412 is a wasteful number, since it uses less digits than its factorization.

32421421444412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 694900 (or 694887 counting only the distinct ones).

The product of its digits is 196608, while the sum is 38.

Adding to 32421421444412 its reverse (21444412412423), we get a palindrome (53865833856835).

The spelling of 32421421444412 in words is "thirty-two trillion, four hundred twenty-one billion, four hundred twenty-one million, four hundred forty-four thousand, four hundred twelve".

Divisors: 1 2 4 7 11 13 14 22 26 28 44 52 77 91 121 143 154 182 242 286 308 364 484 572 847 1001 1061 1573 1694 2002 2122 3146 3388 4004 4244 6292 7427 11011 11671 13793 14854 22022 23342 27586 29708 44044 46684 55172 81697 96551 128381 151723 163394 193102 256762 303446 326788 386204 513524 606892 693793 898667 1062061 1387586 1668953 1797334 2124122 2775172 3337906 3594668 4248244 4856551 6675812 7631723 9019309 9713102 11682671 15263446 18038618 19426204 23365342 30526892 36077236 46730684 53422061 63135163 83948953 99212399 106844122 126270326 167897906 198424798 213688244 252540652 335795812 396849596 587642671 694486793 736114373 1091336389 1175285342 1388973586 1472228746 2182672778 2350570684 2777947172 2944457492 4365345556 5152800611 7639354723 8097258103 9569486849 10305601222 15278709446 16194516206 19138973698 20611202444 30557418892 32389032412 38277947396 56680806721 66986407943 89069839133 105264355339 113361613442 133972815886 178139678266 210528710678 226723226884 267945631772 356279356532 421057421356 623488873931 736850487373 1157907908729 1246977747862 1473700974746 2315815817458 2493955495724 2947401949492 4631631634916 8105355361103 16210710722206 32421421444412