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42251544240 = 24353122924799
BaseRepresentation
bin100111010110011000…
…110110011010110000
311001001120201211112220
4213112120312122300
51143012343403430
631224325121040
73024014125503
oct472630663260
9131046654486
1042251544240
1116a11993604
128231b59180
133ca4690169
14208b62513a
1511744d6110
hex9d66366b0

42251544240 has 160 divisors (see below), whose sum is σ = 135800832000. Its totient is φ = 10855572480.

The previous prime is 42251544227. The next prime is 42251544281. The reversal of 42251544240 is 4244515224.

42251544240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 1691361 + ... + 1716159.

It is an arithmetic number, because the mean of its divisors is an integer number (848755200).

Almost surely, 242251544240 is an apocalyptic number.

42251544240 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 42251544240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67900416000).

42251544240 is an abundant number, since it is smaller than the sum of its proper divisors (93549287760).

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

42251544240 is a wasteful number, since it uses less digits than its factorization.

42251544240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25075 (or 25069 counting only the distinct ones).

The product of its (nonzero) digits is 51200, while the sum is 33.

The spelling of 42251544240 in words is "forty-two billion, two hundred fifty-one million, five hundred forty-four thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 31 40 48 60 62 80 93 120 124 155 186 229 240 248 310 372 458 465 496 620 687 744 916 930 1145 1240 1374 1488 1832 1860 2290 2480 2748 3435 3664 3720 4580 5496 6870 7099 7440 9160 10992 13740 14198 18320 21297 24799 27480 28396 35495 42594 49598 54960 56792 70990 74397 85188 99196 106485 113584 123995 141980 148794 170376 198392 212970 247990 283960 297588 340752 371985 396784 425940 495980 567920 595176 743970 768769 851880 991960 1190352 1487940 1537538 1703760 1983920 2306307 2975880 3075076 3843845 4612614 5678971 5951760 6150152 7687690 9225228 11357942 11531535 12300304 15375380 17036913 18450456 22715884 23063070 28394855 30750760 34073826 36900912 45431768 46126140 56789710 61501520 68147652 85184565 90863536 92252280 113579420 136295304 170369130 176048101 184504560 227158840 272590608 340738260 352096202 454317680 528144303 681476520 704192404 880240505 1056288606 1362953040 1408384808 1760481010 2112577212 2640721515 2816769616 3520962020 4225154424 5281443030 7041924040 8450308848 10562886060 14083848080 21125772120 42251544240