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141430032 = 243267107137
BaseRepresentation
bin10000110111000…
…00110100010000
3100212010101112100
420123200310100
5242201230112
622011200400
73335064312
oct1033406420
9325111470
10141430032
1172919527
123b446100
13233bb213
1414ad77b2
15c63a2dc
hex86e0d10

141430032 has 120 divisors (see below), whose sum is σ = 408429216. Its totient is φ = 45669888.

The previous prime is 141430001. The next prime is 141430063. The reversal of 141430032 is 230034141.

It is an interprime number because it is at equal distance from previous prime (141430001) and next prime (141430063).

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 = 141429987 and 141430014.

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, 1032268 + ... + 1032404.

Almost surely, 2141430032 is an apocalyptic number.

141430032 is a gapful number since it is divisible by the number (12) 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 141430032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204214608).

141430032 is an abundant number, since it is smaller than the sum of its proper divisors (266999184).

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

141430032 is a wasteful number, since it uses less digits than its factorization.

141430032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 325 (or 316 counting only the distinct ones).

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

The square root of 141430032 is about 11892.4359153203. The cubic root of 141430032 is about 521.0113846685.

Adding to 141430032 its reverse (230034141), we get a palindrome (371464173).

The spelling of 141430032 in words is "one hundred forty-one million, four hundred thirty thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 67 72 107 134 137 144 201 214 268 274 321 402 411 428 536 548 603 642 804 822 856 963 1072 1096 1206 1233 1284 1608 1644 1712 1926 2192 2412 2466 2568 3216 3288 3852 4824 4932 5136 6576 7169 7704 9179 9648 9864 14338 14659 15408 18358 19728 21507 27537 28676 29318 36716 43014 43977 55074 57352 58636 64521 73432 82611 86028 87954 110148 114704 117272 129042 131931 146864 165222 172056 175908 220296 234544 258084 263862 330444 344112 351816 440592 516168 527724 660888 703632 982153 1032336 1055448 1321776 1964306 2110896 2946459 3928612 5892918 7857224 8839377 11785836 15714448 17678754 23571672 35357508 47143344 70715016 141430032