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141936750270 = 23257683329863
BaseRepresentation
bin1000010000110000010…
…1101110111010111110
3111120100211000222122200
42010030011232322332
54311141302002040
6145112125052330
713153216320360
oct2041405567276
9446324028580
10141936750270
11552166602a7
12236123b70a6
13104ccbc2183
146c26940d30
153a5ac8d630
hex210c16eebe

141936750270 has 96 divisors (see below), whose sum is σ = 422373699072. Its totient is φ = 32395087296.

The previous prime is 141936750247. The next prime is 141936750287. The reversal of 141936750270 is 72057639141.

141936750270 is a `hidden beast` number, since 1 + 4 + 19 + 3 + 67 + 502 + 70 = 666.

141936750270 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 265359 + ... + 595221.

It is an arithmetic number, because the mean of its divisors is an integer number (4399726032).

Almost surely, 2141936750270 is an apocalyptic number.

141936750270 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 141936750270, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211186849536).

141936750270 is an abundant number, since it is smaller than the sum of its proper divisors (280436948802).

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

141936750270 is a wasteful number, since it uses less digits than its factorization.

141936750270 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 330566 (or 330563 counting only the distinct ones).

The product of its (nonzero) digits is 317520, while the sum is 45.

The spelling of 141936750270 in words is "one hundred forty-one billion, nine hundred thirty-six million, seven hundred fifty thousand, two hundred seventy".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 63 70 90 105 126 210 315 630 683 1366 2049 3415 4098 4781 6147 6830 9562 10245 12294 14343 20490 23905 28686 30735 43029 47810 61470 71715 86058 143430 215145 329863 430290 659726 989589 1649315 1979178 2309041 2968767 3298630 4618082 4947945 5937534 6927123 9895890 11545205 13854246 14843835 20781369 23090410 29687670 34635615 41562738 69271230 103906845 207813690 225296429 450592858 675889287 1126482145 1351778574 1577075003 2027667861 2252964290 3154150006 3379446435 4055335722 4731225009 6758892870 7885375015 9462450018 10138339305 14193675027 15770750030 20276678610 23656125045 28387350054 47312250090 70968375135 141936750270