Search a number
-
+
40232442511400 = 23521613174771387
BaseRepresentation
bin10010010010111010110000…
…11100011100000000101000
312021110011222002112000221012
421021131120130130000220
520233132020240331100
6221322310130003052
711321461300561046
oct1111353034340050
9167404862460835
1040232442511400
1111901534a38267
124619397716488
13195ab98000339
149d139116d396
1549b81143c135
hex24975871c028

40232442511400 has 96 divisors (see below), whose sum is σ = 93653308974240. Its totient is φ = 16073568725760.

The previous prime is 40232442511399. The next prime is 40232442511433. The reversal of 40232442511400 is 411524423204.

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, 563546507 + ... + 563617893.

It is an arithmetic number, because the mean of its divisors is an integer number (975555301815).

Almost surely, 240232442511400 is an apocalyptic number.

40232442511400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

40232442511400 is an abundant number, since it is smaller than the sum of its proper divisors (53420866462840).

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

40232442511400 is a wasteful number, since it uses less digits than its factorization.

40232442511400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74763 (or 74754 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 32.

Adding to 40232442511400 its reverse (411524423204), we get a palindrome (40643966934604).

The spelling of 40232442511400 in words is "forty trillion, two hundred thirty-two billion, four hundred forty-two million, five hundred eleven thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 1613 1747 3226 3494 6452 6988 8065 8735 12904 13976 16130 17470 32260 34940 40325 43675 64520 69880 71387 80650 87350 142774 161300 174700 285548 322600 349400 356935 571096 713870 1427740 1784675 2817911 2855480 3569350 5635822 7138700 11271644 14089555 14277400 22543288 28179110 56358220 70447775 112716440 115147231 124713089 140895550 230294462 249426178 281791100 460588924 498852356 563582200 575736155 623565445 921177848 997704712 1151472310 1247130890 2302944620 2494261780 2878680775 3117827225 4605889240 4988523560 5757361550 6235654450 11514723100 12471308900 23029446200 24942617800 201162212557 402324425114 804648850228 1005811062785 1609297700456 2011622125570 4023244251140 5029055313925 8046488502280 10058110627850 20116221255700 40232442511400