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141045480 = 233253710589
BaseRepresentation
bin10000110100000…
…10111011101000
3100211101212000200
420122002323220
5242101423410
621555032200
73331603212
oct1032027350
9324355020
10141045480
1172686614
123b29b660
13232b5184
1414a375b2
15c5b13c0
hex8682ee8

141045480 has 96 divisors (see below), whose sum is σ = 470831400. Its totient is φ = 36592128.

The previous prime is 141045467. The next prime is 141045529. The reversal of 141045480 is 84540141.

It is a happy number.

141045480 is a `hidden beast` number, since 14 + 104 + 548 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 115218756 + 25826724 = 10734^2 + 5082^2 .

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, 8026 + ... + 18614.

Almost surely, 2141045480 is an apocalyptic number.

141045480 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 141045480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235415700).

141045480 is an abundant number, since it is smaller than the sum of its proper divisors (329785920).

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

141045480 is a wasteful number, since it uses less digits than its factorization.

141045480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10643 (or 10636 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The square root of 141045480 is about 11876.2569861047. The cubic root of 141045480 is about 520.5387414516.

The spelling of 141045480 in words is "one hundred forty-one million, forty-five thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 37 40 45 60 72 74 90 111 120 148 180 185 222 296 333 360 370 444 555 666 740 888 1110 1332 1480 1665 2220 2664 3330 4440 6660 10589 13320 21178 31767 42356 52945 63534 84712 95301 105890 127068 158835 190602 211780 254136 317670 381204 391793 423560 476505 635340 762408 783586 953010 1175379 1270680 1567172 1906020 1958965 2350758 3134344 3526137 3812040 3917930 4701516 5876895 7052274 7835860 9403032 11753790 14104548 15671720 17630685 23507580 28209096 35261370 47015160 70522740 141045480