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40300102240 = 255436319283
BaseRepresentation
bin100101100010000100…
…101100001001100000
310212000120202022101021
4211202010230021200
51130013311232430
630302535015224
72624450134306
oct454204541140
9125016668337
1040300102240
11161003a2322
12798850a514
133a532b7a58
141d443aa276
1510ad01607a
hex96212c260

40300102240 has 96 divisors (see below), whose sum is σ = 97588060416. Its totient is φ = 15718510080.

The previous prime is 40300102189. The next prime is 40300102277. The reversal of 40300102240 is 4220100304.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4336639 + ... + 4345921.

It is an arithmetic number, because the mean of its divisors is an integer number (1016542296).

Almost surely, 240300102240 is an apocalyptic number.

40300102240 is a gapful number since it is divisible by the number (40) 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 40300102240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48794030208).

40300102240 is an abundant number, since it is smaller than the sum of its proper divisors (57287958176).

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

40300102240 is a wasteful number, since it uses less digits than its factorization.

40300102240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9972 (or 9964 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

Adding to 40300102240 its reverse (4220100304), we get a palindrome (44520202544).

The spelling of 40300102240 in words is "forty billion, three hundred million, one hundred two thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 43 80 86 160 172 215 344 430 631 688 860 1262 1376 1720 2524 3155 3440 5048 6310 6880 9283 10096 12620 18566 20192 25240 27133 37132 46415 50480 54266 74264 92830 100960 108532 135665 148528 185660 217064 271330 297056 371320 399169 434128 542660 742640 798338 868256 1085320 1485280 1596676 1995845 2170640 3193352 3991690 4341280 5857573 6386704 7983380 11715146 12773408 15966760 23430292 29287865 31933520 46860584 58575730 63867040 93721168 117151460 187442336 234302920 251875639 468605840 503751278 937211680 1007502556 1259378195 2015005112 2518756390 4030010224 5037512780 8060020448 10075025560 20150051120 40300102240