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141408080 = 245113743101
BaseRepresentation
bin10000110110110…
…11011101010000
3100212002021102022
420123123131100
5242200024310
622010511012
73334643312
oct1033333520
9325067368
10141408080
1172903a90
123b435468
13233b1228
1414acd7b2
15c633a55
hex86db750

141408080 has 160 divisors (see below), whose sum is σ = 380654208. Its totient is φ = 48384000.

The previous prime is 141408077. The next prime is 141408107. The reversal of 141408080 is 80804141.

141408080 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1400030 + ... + 1400130.

Almost surely, 2141408080 is an apocalyptic number.

141408080 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 141408080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190327104).

141408080 is an abundant number, since it is smaller than the sum of its proper divisors (239246128).

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

141408080 is a wasteful number, since it uses less digits than its factorization.

141408080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 205 (or 199 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 26.

The square root of 141408080 is about 11891.5129399080. The cubic root of 141408080 is about 520.9844270897.

The spelling of 141408080 in words is "one hundred forty-one million, four hundred eight thousand, eighty".

Divisors: 1 2 4 5 8 10 11 16 20 22 37 40 43 44 55 74 80 86 88 101 110 148 172 176 185 202 215 220 296 344 370 404 407 430 440 473 505 592 688 740 808 814 860 880 946 1010 1111 1480 1591 1616 1628 1720 1892 2020 2035 2222 2365 2960 3182 3256 3440 3737 3784 4040 4070 4343 4444 4730 5555 6364 6512 7474 7568 7955 8080 8140 8686 8888 9460 11110 12728 14948 15910 16280 17372 17501 17776 18685 18920 21715 22220 25456 29896 31820 32560 34744 35002 37370 37840 41107 43430 44440 47773 59792 63640 69488 70004 74740 82214 86860 87505 88880 95546 127280 140008 149480 160691 164428 173720 175010 191092 205535 238865 280016 298960 321382 328856 347440 350020 382184 411070 477730 642764 657712 700040 764368 803455 822140 955460 1285528 1400080 1606910 1644280 1767601 1910920 2571056 3213820 3288560 3535202 3821840 6427640 7070404 8838005 12855280 14140808 17676010 28281616 35352020 70704040 141408080