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114143213440 = 2751311361441
BaseRepresentation
bin110101001001101110…
…1110011011110000000
3101220121211121000201201
41222103131303132000
53332231130312230
6124234153110544
711150401206634
oct1522335633600
9356554530651
10114143213440
1144453960753
121a1563b8454
13a9c09b24a9
14574b576dc4
152e80c0b5ca
hex1a93773780

114143213440 has 64 divisors (see below), whose sum is σ = 274956826320. Its totient is φ = 45308723200.

The previous prime is 114143213389. The next prime is 114143213449. The reversal of 114143213440 is 44312341411.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 114143213399 and 114143213408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114143213449) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 596881 + ... + 764560.

Almost surely, 2114143213440 is an apocalyptic number.

114143213440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

114143213440 is an abundant number, since it is smaller than the sum of its proper divisors (160813612880).

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

114143213440 is a wasteful number, since it uses less digits than its factorization.

114143213440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1361591 (or 1361579 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

Adding to 114143213440 its reverse (44312341411), we get a palindrome (158455554851).

The spelling of 114143213440 in words is "one hundred fourteen billion, one hundred forty-three million, two hundred thirteen thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 131 160 262 320 524 640 655 1048 1310 2096 2620 4192 5240 8384 10480 16768 20960 41920 83840 1361441 2722882 5445764 6807205 10891528 13614410 21783056 27228820 43566112 54457640 87132224 108915280 174264448 178348771 217830560 356697542 435661120 713395084 871322240 891743855 1426790168 1783487710 2853580336 3566975420 5707160672 7133950840 11414321344 14267901680 22828642688 28535803360 57071606720 114143213440