Search a number
-
+
34422316450431 = 37131779241389569
BaseRepresentation
bin1111101001110100100011…
…11100011100001001111111
311111212202000102021222021020
413310322101330130021333
514002433401002403211
6201113221024235223
710151634043115130
oct764722174341177
9144782012258236
1034422316450431
11aa71471280588
123a3b33816bb13
13162901a135670
14870098685c87
153ea60b969306
hex1f4e91f1c27f

34422316450431 has 128 divisors (see below), whose sum is σ = 60819294412800. Its totient is φ = 16802410659840.

The previous prime is 34422316450399. The next prime is 34422316450451. The reversal of 34422316450431 is 13405461322443.

It is not a de Polignac number, because 34422316450431 - 25 = 34422316450399 is a prime.

It is a super-2 number, since 2×344223164504312 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34422316450451) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 88165215 + ... + 88554783.

It is an arithmetic number, because the mean of its divisors is an integer number (475150737600).

Almost surely, 234422316450431 is an apocalyptic number.

34422316450431 is a deficient number, since it is larger than the sum of its proper divisors (26396977962369).

34422316450431 is a wasteful number, since it uses less digits than its factorization.

34422316450431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 389929.

The product of its (nonzero) digits is 829440, while the sum is 42.

Adding to 34422316450431 its reverse (13405461322443), we get a palindrome (47827777772874).

The spelling of 34422316450431 in words is "thirty-four trillion, four hundred twenty-two billion, three hundred sixteen million, four hundred fifty thousand, four hundred thirty-one".

Divisors: 1 3 7 13 17 21 39 51 79 91 119 221 237 241 273 357 553 663 723 1027 1343 1547 1659 1687 3081 3133 4029 4097 4641 5061 7189 9399 9401 12291 17459 19039 21567 21931 28203 28679 52377 53261 57117 65793 86037 122213 133273 159783 247507 323663 366639 372827 389569 399819 742521 970989 1118481 1168707 1732549 2265641 2726983 4207619 5064397 5197647 6622673 6796923 8180949 12622857 15193191 19868019 29453333 30775951 35450779 46358711 86094749 88359999 92327853 93886129 106352337 139076133 215431657 258284247 281658387 400087363 523191167 602663243 646294971 657202903 1200262089 1220519677 1569573501 1596064193 1807989729 1971608709 2800611541 3661559031 3662338169 4788192579 6801485171 7417004191 8401834623 8543637739 10987014507 11172449351 20404455513 20748834509 22251012573 25630913217 33517348053 47610396197 51919029337 62246503527 96421054483 126089071247 142831188591 145241841563 155757088011 289263163449 378267213741 435725524689 674947381381 882623498729 1639157926211 2024842144143 2647870496187 4917473778633 11474105483477 34422316450431