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141132984064 = 284116382493
BaseRepresentation
bin1000001101110000101…
…1100110111100000000
3111111021210121102200221
42003130023212330000
54303020020442224
6144500253352424
713124256366562
oct2033413467400
9444253542627
10141132984064
1154943987906
1223429198714
1310402520c77
146b8bcb5332
153a104206e4
hex20dc2e6f00

141132984064 has 72 divisors (see below), whose sum is σ = 290359741392. Its totient is φ = 68422164480.

The previous prime is 141132984061. The next prime is 141132984101. The reversal of 141132984064 is 460489231141.

It is a hoax number, since the sum of its digits (43) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 141132984064.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (141132984061) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1669602 + ... + 1752094.

It is an arithmetic number, because the mean of its divisors is an integer number (4032774186).

Almost surely, 2141132984064 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 141132984064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145179870696).

141132984064 is an abundant number, since it is smaller than the sum of its proper divisors (149226757328).

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

141132984064 is an equidigital number, since it uses as much as digits as its factorization.

141132984064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82713 (or 82699 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 43.

The spelling of 141132984064 in words is "one hundred forty-one billion, one hundred thirty-two million, nine hundred eighty-four thousand, sixty-four".

Divisors: 1 2 4 8 16 32 41 64 82 128 163 164 256 326 328 652 656 1304 1312 2608 2624 5216 5248 6683 10432 10496 13366 20864 26732 41728 53464 82493 106928 164986 213856 329972 427712 659944 855424 1319888 1710848 2639776 3382213 5279552 6764426 10559104 13446359 13528852 21118208 26892718 27057704 53785436 54115408 107570872 108230816 215141744 216461632 430283488 432923264 551300719 860566976 865846528 1102601438 1721133952 2205202876 3442267904 4410405752 8820811504 17641623008 35283246016 70566492032 141132984064