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141949000 = 23531931241
BaseRepresentation
bin10000111010111…
…11100001001000
3100220002202102101
420131133201020
5242314332000
622030243144
73342355324
oct1035374110
9326082371
10141949000
1173143426
123b6564b4
13235404bb
1414bd0984
15c6dde6a
hex875f848

141949000 has 128 divisors (see below), whose sum is σ = 362419200. Its totient is φ = 51840000.

The previous prime is 141948979. The next prime is 141949009. The reversal of 141949000 is 949141.

It is a hoax number, since the sum of its digits (28) 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 141949000.

It is not an unprimeable number, because it can be changed into a prime (141949009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 588880 + ... + 589120.

It is an arithmetic number, because the mean of its divisors is an integer number (2831400).

Almost surely, 2141949000 is an apocalyptic number.

141949000 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 141949000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181209600).

141949000 is an abundant number, since it is smaller than the sum of its proper divisors (220470200).

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

141949000 is a wasteful number, since it uses less digits than its factorization.

141949000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 312 (or 298 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 28.

The square root of 141949000 is about 11914.2351831748. The cubic root of 141949000 is about 521.6478788680.

The spelling of 141949000 in words is "one hundred forty-one million, nine hundred forty-nine thousand".

Divisors: 1 2 4 5 8 10 19 20 25 31 38 40 50 62 76 95 100 124 125 152 155 190 200 241 248 250 310 380 475 482 500 589 620 760 775 950 964 1000 1178 1205 1240 1550 1900 1928 2356 2375 2410 2945 3100 3800 3875 4579 4712 4750 4820 5890 6025 6200 7471 7750 9158 9500 9640 11780 12050 14725 14942 15500 18316 19000 22895 23560 24100 29450 29884 30125 31000 36632 37355 45790 48200 58900 59768 60250 73625 74710 91580 114475 117800 120500 141949 147250 149420 183160 186775 228950 241000 283898 294500 298840 373550 457900 567796 572375 589000 709745 747100 915800 933875 1135592 1144750 1419490 1494200 1867750 2289500 2838980 3548725 3735500 4579000 5677960 7097450 7471000 14194900 17743625 28389800 35487250 70974500 141949000