Search a number
-
+
141766340190592 = 2713225572562983
BaseRepresentation
bin100000001110111110001100…
…010110010010000110000000
3200120221201200222221020000011
4200032332030112102012000
5122040144431042044332
61221302320235234304
741601165032135035
oct4016761426220600
9616851628836004
10141766340190592
1141197849218927
1213a973245a8994
13611467c29c400
14270175557338c
15115ca03e92e47
hex80ef8c592180

141766340190592 has 96 divisors (see below), whose sum is σ = 305941016504880. Its totient is φ = 65405004208128.

The previous prime is 141766340190551. The next prime is 141766340190649. The reversal of 141766340190592 is 295091043667141.

It is a happy number.

It is a super-2 number, since 2×1417663401905922 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 54031533 + ... + 56594515.

Almost surely, 2141766340190592 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 141766340190592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152970508252440).

141766340190592 is an abundant number, since it is smaller than the sum of its proper divisors (164174676314288).

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

141766340190592 is a wasteful number, since it uses less digits than its factorization.

141766340190592 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2565580 (or 2565555 counting only the distinct ones).

The product of its (nonzero) digits is 9797760, while the sum is 58.

The spelling of 141766340190592 in words is "one hundred forty-one trillion, seven hundred sixty-six billion, three hundred forty million, one hundred ninety thousand, five hundred ninety-two".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 169 208 338 416 676 832 1352 1664 2557 2704 5114 5408 10228 10816 20456 21632 33241 40912 66482 81824 132964 163648 265928 327296 432133 531856 864266 1063712 1728532 2127424 2562983 3457064 4254848 5125966 6914128 10251932 13828256 20503864 27656512 33318779 41007728 55313024 66637558 82015456 133275116 164030912 266550232 328061824 433144127 533100464 866288254 1066200928 1732576508 2132401856 3465153016 4264803712 6553547531 6930306032 13107095062 13860612064 26214190124 27721224128 52428380248 55442448256 85196117903 104856760496 170392235806 209713520992 340784471612 419427041984 681568943224 838854083968 1107549532739 1363137886448 2215099065478 2726275772896 4430198130956 5452551545792 8860396261912 10905103091584 17720792523824 35441585047648 70883170095296 141766340190592