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42447431746000 = 2453167353360023
BaseRepresentation
bin10011010011011000100000…
…00101110100000111010000
312120021221020111112120201201
421221230100011310013100
521030424320011333000
6230140025252240544
711640503633454421
oct1151542005640720
9176257214476651
1042447431746000
1112585944689036
12491671b010154
131a8ba11100858
14a6a676721648
154d924d77896a
hex269b101741d0

42447431746000 has 160 divisors (see below), whose sum is σ = 103545275678208. Its totient is φ = 16829444403200.

The previous prime is 42447431745977. The next prime is 42447431746037. The reversal of 42447431746000 is 64713474424.

It is a hoax number, since the sum of its digits (46) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 117721989 + ... + 118082011.

Almost surely, 242447431746000 is an apocalyptic number.

42447431746000 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 42447431746000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51772637839104).

42447431746000 is an abundant number, since it is smaller than the sum of its proper divisors (61097843932208).

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

42447431746000 is a wasteful number, since it uses less digits than its factorization.

42447431746000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 360566 (or 360550 counting only the distinct ones).

The product of its (nonzero) digits is 1806336, while the sum is 46.

The spelling of 42447431746000 in words is "forty-two trillion, four hundred forty-seven billion, four hundred thirty-one million, seven hundred forty-six thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 167 200 250 334 353 400 500 668 706 835 1000 1336 1412 1670 1765 2000 2672 2824 3340 3530 4175 5648 6680 7060 8350 8825 13360 14120 16700 17650 20875 28240 33400 35300 41750 44125 58951 66800 70600 83500 88250 117902 141200 167000 176500 235804 294755 334000 353000 360023 471608 589510 706000 720046 943216 1179020 1440092 1473775 1800115 2358040 2880184 2947550 3600230 4716080 5760368 5895100 7200460 7368875 9000575 11790200 14400920 14737750 18001150 23580400 28801840 29475500 36002300 45002875 58951000 60123841 72004600 90005750 117902000 120247682 127088119 144009200 180011500 240495364 254176238 300619205 360023000 480990728 508352476 601238410 635440595 720046000 961981456 1016704952 1202476820 1270881190 1503096025 2033409904 2404953640 2541762380 3006192050 3177202975 4809907280 5083524760 6012384100 6354405950 7515480125 10167049520 12024768200 12708811900 15030960250 15886014875 21223715873 24049536400 25417623800 30061920500 31772029750 42447431746 50835247600 60123841000 63544059500 84894863492 106118579365 120247682000 127088119000 169789726984 212237158730 254176238000 339579453968 424474317460 530592896825 848948634920 1061185793650 1697897269840 2122371587300 2652964484125 4244743174600 5305928968250 8489486349200 10611857936500 21223715873000 42447431746000