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114314212400322 = 231171179136284013
BaseRepresentation
bin11001111111011111011010…
…000001011101110011000010
3112222202022222000022020211110
4121333133122001131303002
5104440411001333302242
61043043120232024150
733035633515045644
oct3177373201356302
9488668860266743
10114314212400322
1133473426809850
12109a2a3a532056
134ba2a26513c0c
142032ba1b88894
15d3389596839c
hex67f7da05dcc2

114314212400322 has 64 divisors (see below), whose sum is σ = 254338678287360. Its totient is φ = 33961975790400.

The previous prime is 114314212400317. The next prime is 114314212400327. The reversal of 114314212400322 is 223004212413411.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (114314212400317) and next prime (114314212400327).

It is a super-2 number, since 2×1143142124003222 (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 114314212400322.

It is not an unprimeable number, because it can be changed into a prime (114314212400327) 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, 67303213 + ... + 68980800.

It is an arithmetic number, because the mean of its divisors is an integer number (3974041848240).

Almost surely, 2114314212400322 is an apocalyptic number.

114314212400322 is an abundant number, since it is smaller than the sum of its proper divisors (140024465887038).

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

114314212400322 is a wasteful number, since it uses less digits than its factorization.

114314212400322 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136284279.

The product of its (nonzero) digits is 9216, while the sum is 30.

Adding to 114314212400322 its reverse (223004212413411), we get a palindrome (337318424813733).

The spelling of 114314212400322 in words is "one hundred fourteen trillion, three hundred fourteen billion, two hundred twelve million, four hundred thousand, three hundred twenty-two".

Divisors: 1 2 3 6 11 22 33 66 71 142 179 213 358 426 537 781 1074 1562 1969 2343 3938 4686 5907 11814 12709 25418 38127 76254 139799 279598 419397 838794 136284013 272568026 408852039 817704078 1499124143 2998248286 4497372429 8994744858 9676164923 19352329846 24394838327 29028494769 48789676654 58056989538 73184514981 106437814153 146369029962 212875628306 268343221597 319313442459 536686443194 638626884918 805029664791 1610059329582 1732033521217 3464067042434 5196100563651 10392201127302 19052368733387 38104737466774 57157106200161 114314212400322