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141122414004 = 2231113271330313
BaseRepresentation
bin1000001101101110001…
…1010010010110110100
3111111021001201102022020
42003123203102112310
54303004314222004
6144455235033140
713124100504225
oct2033343222664
9444231642266
10141122414004
1154938a18420
122342573b7b0
131040028cab0
146b8a72324c
153a0e5338d9
hex20db8d25b4

141122414004 has 96 divisors (see below), whose sum is σ = 387008409984. Its totient is φ = 39458949120.

The previous prime is 141122413979. The next prime is 141122414087. The reversal of 141122414004 is 400414221141.

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, 4640352 + ... + 4670664.

It is an arithmetic number, because the mean of its divisors is an integer number (4031337604).

Almost surely, 2141122414004 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 141122414004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193504204992).

141122414004 is an abundant number, since it is smaller than the sum of its proper divisors (245885995980).

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

141122414004 is a wasteful number, since it uses less digits than its factorization.

141122414004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33057 (or 33055 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

Adding to 141122414004 its reverse (400414221141), we get a palindrome (541536635145).

The spelling of 141122414004 in words is "one hundred forty-one billion, one hundred twenty-two million, four hundred fourteen thousand, four".

Divisors: 1 2 3 4 6 11 12 13 22 26 33 39 44 52 66 78 132 143 156 286 429 572 858 1716 2713 5426 8139 10852 16278 29843 30313 32556 35269 59686 60626 70538 89529 90939 105807 119372 121252 141076 179058 181878 211614 333443 358116 363756 387959 394069 423228 666886 775918 788138 1000329 1163877 1182207 1333772 1551836 1576276 2000658 2327754 2364414 4001316 4334759 4655508 4728828 8669518 13004277 17339036 26008554 52017108 82239169 164478338 246717507 328956676 493435014 904630859 986870028 1069109197 1809261718 2138218394 2713892577 3207327591 3618523436 4276436788 5427785154 6414655182 10855570308 11760201167 12829310364 23520402334 35280603501 47040804668 70561207002 141122414004