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141034400 = 25521371191
BaseRepresentation
bin10000110100000…
…00001110100000
3100211101021211022
420122000032200
5242101100100
621554505012
73331526003
oct1032001640
9324337738
10141034400
1172679261
123b295168
13232b0110
1414a3353a
15c5ace85
hex86803a0

141034400 has 144 divisors (see below), whose sum is σ = 377975808. Its totient is φ = 51072000.

The previous prime is 141034393. The next prime is 141034403. The reversal of 141034400 is 4430141.

It is not an unprimeable number, because it can be changed into a prime (141034403) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 738305 + ... + 738495.

It is an arithmetic number, because the mean of its divisors is an integer number (2624832).

Almost surely, 2141034400 is an apocalyptic number.

141034400 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 141034400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188987904).

141034400 is an abundant number, since it is smaller than the sum of its proper divisors (236941408).

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

141034400 is a wasteful number, since it uses less digits than its factorization.

141034400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 295 (or 282 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 141034400 is about 11875.7905000046. The cubic root of 141034400 is about 520.5251105758.

Adding to 141034400 its reverse (4430141), we get a palindrome (145464541).

The spelling of 141034400 in words is "one hundred forty-one million, thirty-four thousand, four hundred".

Divisors: 1 2 4 5 8 10 13 16 20 25 26 32 40 50 52 65 71 80 100 104 130 142 160 191 200 208 260 284 325 355 382 400 416 520 568 650 710 764 800 923 955 1040 1136 1300 1420 1528 1775 1846 1910 2080 2272 2483 2600 2840 3056 3550 3692 3820 4615 4775 4966 5200 5680 6112 7100 7384 7640 9230 9550 9932 10400 11360 12415 13561 14200 14768 15280 18460 19100 19864 23075 24830 27122 28400 29536 30560 36920 38200 39728 46150 49660 54244 56800 62075 67805 73840 76400 79456 92300 99320 108488 124150 135610 147680 152800 176293 184600 198640 216976 248300 271220 339025 352586 369200 397280 433952 496600 542440 678050 705172 738400 881465 993200 1084880 1356100 1410344 1762930 1986400 2169760 2712200 2820688 3525860 4407325 5424400 5641376 7051720 8814650 10848800 14103440 17629300 28206880 35258600 70517200 141034400