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114024222211004 = 227314212861109063
BaseRepresentation
bin11001111011010001010101…
…010000101011101110111100
3112221201121110002121021221022
4121323101111100223232330
5104421133101341223004
61042302000551523312
733005656344105650
oct3173212520535674
9487647402537838
10114024222211004
1133371445918466
12109567a9389538
134b81590429111
142022b32200a60
15d2b071e542be
hex67b45542bbbc

114024222211004 has 96 divisors (see below), whose sum is σ = 236048642629632. Its totient is φ = 47161898784000.

The previous prime is 114024222210991. The next prime is 114024222211013. The reversal of 114024222211004 is 400112222420411.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1045434977 + ... + 1045544039.

It is an arithmetic number, because the mean of its divisors is an integer number (2458840027392).

Almost surely, 2114024222211004 is an apocalyptic number.

114024222211004 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114024222211004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118024321314816).

114024222211004 is an abundant number, since it is smaller than the sum of its proper divisors (122024420418628).

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

114024222211004 is a wasteful number, since it uses less digits than its factorization.

114024222211004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112387 (or 112385 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 26.

Adding to 114024222211004 its reverse (400112222420411), we get a palindrome (514136444631415).

The spelling of 114024222211004 in words is "one hundred fourteen trillion, twenty-four billion, two hundred twenty-two million, two hundred eleven thousand, four".

Divisors: 1 2 4 7 14 28 31 62 124 217 421 434 842 868 1684 2861 2947 5722 5894 11444 11788 13051 20027 26102 40054 52204 80108 88691 91357 109063 177382 182714 218126 354764 365428 436252 620837 763441 1204481 1241674 1526882 2408962 2483348 3053764 3380953 4817924 6761906 8431367 13523812 16862734 23666671 33725468 37338911 45915523 47333342 74677822 91831046 94666684 149355644 183662092 261372377 312029243 321408661 522744754 624058486 642817322 1045489508 1248116972 1285634644 1423381213 2184204701 2846762426 4368409402 5693524852 8736818804 9672906533 9963668491 19345813066 19927336982 38691626132 39854673964 67710345731 131364311303 135420691462 262728622606 270841382924 525457245212 919550179121 1839100358242 3678200716484 4072293650393 8144587300786 16289174601572 28506055552751 57012111105502 114024222211004