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141430300 = 2252111967101
BaseRepresentation
bin10000110111000…
…00111000011100
3100212010101220021
420123200320130
5242201232200
622011201524
73335065144
oct1033407034
9325111807
10141430300
1172919750
123b4462a4
13233bb38b
1414ad7924
15c63a41a
hex86e0e1c

141430300 has 144 divisors (see below), whose sum is σ = 361226880. Its totient is φ = 47520000.

The previous prime is 141430291. The next prime is 141430309. The reversal of 141430300 is 3034141.

It is an interprime number because it is at equal distance from previous prime (141430291) and next prime (141430309).

It is a super-3 number, since 3×1414303003 (a number of 25 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (141430309) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1400250 + ... + 1400350.

It is an arithmetic number, because the mean of its divisors is an integer number (2508520).

Almost surely, 2141430300 is an apocalyptic number.

141430300 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 141430300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180613440).

141430300 is an abundant number, since it is smaller than the sum of its proper divisors (219796580).

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

141430300 is a wasteful number, since it uses less digits than its factorization.

141430300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 212 (or 205 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 141430300 is about 11892.4471829813. The cubic root of 141430300 is about 521.0117137617.

Adding to 141430300 its reverse (3034141), we get a palindrome (144464441).

The spelling of 141430300 in words is "one hundred forty-one million, four hundred thirty thousand, three hundred".

Divisors: 1 2 4 5 10 11 19 20 22 25 38 44 50 55 67 76 95 100 101 110 134 190 202 209 220 268 275 335 380 404 418 475 505 550 670 737 836 950 1010 1045 1100 1111 1273 1340 1474 1675 1900 1919 2020 2090 2222 2525 2546 2948 3350 3685 3838 4180 4444 5050 5092 5225 5555 6365 6700 6767 7370 7676 9595 10100 10450 11110 12730 13534 14003 14740 18425 19190 20900 21109 22220 25460 27068 27775 28006 31825 33835 36850 38380 42218 47975 55550 56012 63650 67670 70015 73700 74437 84436 95950 105545 111100 127300 128573 135340 140030 148874 169175 191900 211090 257146 280060 297748 338350 350075 372185 422180 514292 527725 642865 676700 700150 744370 1055450 1285730 1400300 1414303 1488740 1860925 2110900 2571460 2828606 3214325 3721850 5657212 6428650 7071515 7443700 12857300 14143030 28286060 35357575 70715150 141430300