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141340320 = 25325118923
BaseRepresentation
bin10000110110010…
…10111010100000
3100211221211110200
420123022322200
5242140342240
622005225200
73334241622
oct1033127240
9324854420
10141340320
1172868090
123b402200
1323389434
1414ab2c12
15c61d930
hex86caea0

141340320 has 144 divisors (see below), whose sum is σ = 526230432. Its totient is φ = 34260480.

The previous prime is 141340307. The next prime is 141340351. The reversal of 141340320 is 23043141.

141340320 is a `hidden beast` number, since 1 + 4 + 1 + 340 + 320 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 141340293 and 141340302.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11379 + ... + 20301.

It is an arithmetic number, because the mean of its divisors is an integer number (3654378).

Almost surely, 2141340320 is an apocalyptic number.

141340320 is a gapful number since it is divisible by the number (10) 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 141340320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263115216).

141340320 is an abundant number, since it is smaller than the sum of its proper divisors (384890112).

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

141340320 is a wasteful number, since it uses less digits than its factorization.

141340320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8955 (or 8944 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 141340320 is about 11888.6635077287. The cubic root of 141340320 is about 520.9011985949.

Adding to 141340320 its reverse (23043141), we get a palindrome (164383461).

The spelling of 141340320 in words is "one hundred forty-one million, three hundred forty thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 11 12 15 16 18 20 22 24 30 32 33 36 40 44 45 48 55 60 66 72 80 88 90 96 99 110 120 132 144 160 165 176 180 198 220 240 264 288 330 352 360 396 440 480 495 528 660 720 792 880 990 1056 1320 1440 1584 1760 1980 2640 3168 3960 5280 7920 8923 15840 17846 26769 35692 44615 53538 71384 80307 89230 98153 107076 133845 142768 160614 178460 196306 214152 267690 285536 294459 321228 356920 392612 401535 428304 490765 535380 588918 642456 713840 785224 803070 856608 883377 981530 1070760 1177836 1284912 1427680 1472295 1570448 1606140 1766754 1963060 2141520 2355672 2569824 2944590 3140896 3212280 3533508 3926120 4283040 4416885 4711344 5889180 6424560 7067016 7852240 8833770 9422688 11778360 12849120 14134032 15704480 17667540 23556720 28268064 35335080 47113440 70670160 141340320