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42153154320 = 2435237636441
BaseRepresentation
bin100111010000100001…
…100001011100010000
311000210201121002221210
4213100201201130100
51142312201414240
631210452220120
73021410620434
oct472041413420
9130721532853
1042153154320
11169713a1822
12820500a640
133c8a191484
14207c5329c4
15116aa4d780
hex9d0861710

42153154320 has 80 divisors (see below), whose sum is σ = 136356308352. Its totient is φ = 10752107520.

The previous prime is 42153154271. The next prime is 42153154331. The reversal of 42153154320 is 2345135124.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3812701 + ... + 3823740.

Almost surely, 242153154320 is an apocalyptic number.

42153154320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42153154320 is an abundant number, since it is smaller than the sum of its proper divisors (94203154032).

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

42153154320 is a wasteful number, since it uses less digits than its factorization.

42153154320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7636480 (or 7636474 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

Adding to 42153154320 its reverse (2345135124), we get a palindrome (44498289444).

The spelling of 42153154320 in words is "forty-two billion, one hundred fifty-three million, one hundred fifty-four thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 23 24 30 40 46 48 60 69 80 92 115 120 138 184 230 240 276 345 368 460 552 690 920 1104 1380 1840 2760 5520 7636441 15272882 22909323 30545764 38182205 45818646 61091528 76364410 91637292 114546615 122183056 152728820 175638143 183274584 229093230 305457640 351276286 366549168 458186460 526914429 610915280 702552572 878190715 916372920 1053828858 1405105144 1756381430 1832745840 2107657716 2634572145 2810210288 3512762860 4215315432 5269144290 7025525720 8430630864 10538288580 14051051440 21076577160 42153154320