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141040000 = 27544143
BaseRepresentation
bin10000110100000…
…01100110000000
3100211101120111201
420122001212000
5242101240000
621554550544
73331551223
oct1032014600
9324346451
10141040000
1172682492
123b298454
13232b282a
1414a355ba
15c5ae96a
hex8681980

141040000 has 160 divisors (see below), whose sum is σ = 368038440. Its totient is φ = 53760000.

The previous prime is 141039989. The next prime is 141040001. The reversal of 141040000 is 40141.

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (141040001) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 3279979 + ... + 3280021.

Almost surely, 2141040000 is an apocalyptic number.

141040000 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 141040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184019220).

141040000 is an abundant number, since it is smaller than the sum of its proper divisors (226998440).

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

141040000 is an frugal number, since it uses more digits than its factorization.

141040000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

The square root of 141040000 is about 11876.0262714428. The cubic root of 141040000 is about 520.5319999163.

Adding to 141040000 its reverse (40141), we get a palindrome (141080141).

The spelling of 141040000 in words is "one hundred forty-one million, forty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 41 43 50 64 80 82 86 100 125 128 160 164 172 200 205 215 250 320 328 344 400 410 430 500 625 640 656 688 800 820 860 1000 1025 1075 1250 1312 1376 1600 1640 1720 1763 2000 2050 2150 2500 2624 2752 3200 3280 3440 3526 4000 4100 4300 5000 5125 5248 5375 5504 6560 6880 7052 8000 8200 8600 8815 10000 10250 10750 13120 13760 14104 16000 16400 17200 17630 20000 20500 21500 25625 26240 26875 27520 28208 32800 34400 35260 40000 41000 43000 44075 51250 53750 56416 65600 68800 70520 80000 82000 86000 88150 102500 107500 112832 131200 137600 141040 164000 172000 176300 205000 215000 220375 225664 282080 328000 344000 352600 410000 430000 440750 564160 656000 688000 705200 820000 860000 881500 1101875 1128320 1410400 1640000 1720000 1763000 2203750 2820800 3280000 3440000 3526000 4407500 5641600 7052000 8815000 14104000 17630000 28208000 35260000 70520000 141040000