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211457631140 = 22572215773093
BaseRepresentation
bin1100010011101111011…
…0110110001110100100
3202012210211211122122022
43010323312312032210
511431031123144030
6241050422522312
721164055131300
oct3047366661644
9665724748568
10211457631140
1181751358048
1234b94896398
1316c2bcb5a82
14a33da78d00
1557792acde5
hex313bdb63a4

211457631140 has 36 divisors (see below), whose sum is σ = 516560787036. Its totient is φ = 72499758912.

The previous prime is 211457631017. The next prime is 211457631193. The reversal of 211457631140 is 41136754112.

It can be written as a sum of positive squares in 2 ways, for example, as 26825853796 + 184631777344 = 163786^2 + 429688^2 .

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 211457631140.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 107885567 + ... + 107887526.

It is an arithmetic number, because the mean of its divisors is an integer number (14348910751).

Almost surely, 2211457631140 is an apocalyptic number.

211457631140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211457631140 is an abundant number, since it is smaller than the sum of its proper divisors (305103155896).

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

211457631140 is a wasteful number, since it uses less digits than its factorization.

211457631140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215773116 (or 215773107 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 35.

The spelling of 211457631140 in words is "two hundred eleven billion, four hundred fifty-seven million, six hundred thirty-one thousand, one hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 70 98 140 196 245 490 980 215773093 431546186 863092372 1078865465 1510411651 2157730930 3020823302 4315461860 6041646604 7552058255 10572881557 15104116510 21145763114 30208233020 42291526228 52864407785 105728815570 211457631140