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42375429480 = 2335163213291
BaseRepresentation
bin100111011101110001…
…011011110101101000
311001101012211212011010
4213131301123311220
51143241102220410
631244512303520
73030050131116
oct473561336550
9131335755133
1042375429480
1116a759093aa
128267541ba0
133cc4247637
14209dc72ab6
151180307c20
hex9ddc5bd68

42375429480 has 96 divisors (see below), whose sum is σ = 127920612960. Its totient is φ = 11229943680.

The previous prime is 42375429461. The next prime is 42375429541. The reversal of 42375429480 is 8492457324.

It is a super-2 number, since 2×423754294802 (a number of 22 digits) contains 22 as substring.

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, 3181635 + ... + 3194925.

It is an arithmetic number, because the mean of its divisors is an integer number (1332506385).

Almost surely, 242375429480 is an apocalyptic number.

42375429480 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 42375429480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63960306480).

42375429480 is an abundant number, since it is smaller than the sum of its proper divisors (85545183480).

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

42375429480 is a wasteful number, since it uses less digits than its factorization.

42375429480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13631 (or 13464 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 48.

It can be divided in two parts, 423 and 75429480, that added together give a triangular number (75429903 = T12282).

The spelling of 42375429480 in words is "forty-two billion, three hundred seventy-five million, four hundred twenty-nine thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 163 326 489 652 815 978 1304 1630 1956 2445 3260 3912 4890 6520 9780 13291 19560 26569 26582 39873 53138 53164 66455 79707 79746 106276 106328 132845 132910 159414 159492 199365 212552 265690 265820 318828 318984 398535 398730 531380 531640 637656 797070 797460 1062760 1594140 1594920 2166433 3188280 4332866 6499299 8665732 10832165 12998598 17331464 21664330 25997196 32496495 43328660 51994392 64992990 86657320 129985980 259971960 353128579 706257158 1059385737 1412514316 1765642895 2118771474 2825028632 3531285790 4237542948 5296928685 7062571580 8475085896 10593857370 14125143160 21187714740 42375429480