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42033422040 = 233531107105601
BaseRepresentation
bin100111001001011000…
…110001111011011000
311000111101022002010220
4213021120301323120
51142041024001130
631150534040040
73015425122641
oct471130617330
9130441262126
1042033422040
111690a853125
128190aa9020
133c6b42c37c
14206a6866c8
15116029c410
hex9c9631ed8

42033422040 has 128 divisors (see below), whose sum is σ = 131385784320. Its totient is φ = 10745856000.

The previous prime is 42033422033. The next prime is 42033422051. The reversal of 42033422040 is 4022433024.

42033422040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 42033422040.

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, 345240 + ... + 450840.

It is an arithmetic number, because the mean of its divisors is an integer number (1026451440).

Almost surely, 242033422040 is an apocalyptic number.

42033422040 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 42033422040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65692892160).

42033422040 is an abundant number, since it is smaller than the sum of its proper divisors (89352362280).

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

42033422040 is a wasteful number, since it uses less digits than its factorization.

42033422040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105753 (or 105749 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 24.

Adding to 42033422040 its reverse (4022433024), we get a palindrome (46055855064).

It can be divided in two parts, 4203 and 3422040, that added together give a palindrome (3426243).

The spelling of 42033422040 in words is "forty-two billion, thirty-three million, four hundred twenty-two thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 31 40 60 62 93 107 120 124 155 186 214 248 310 321 372 428 465 535 620 642 744 856 930 1070 1240 1284 1605 1860 2140 2568 3210 3317 3720 4280 6420 6634 9951 12840 13268 16585 19902 26536 33170 39804 49755 66340 79608 99510 105601 132680 199020 211202 316803 398040 422404 528005 633606 844808 1056010 1267212 1584015 2112020 2534424 3168030 3273631 4224040 6336060 6547262 9820893 11299307 12672120 13094524 16368155 19641786 22598614 26189048 32736310 33897921 39283572 45197228 49104465 56496535 65472620 67795842 78567144 90394456 98208930 112993070 130945240 135591684 169489605 196417860 225986140 271183368 338979210 350278517 392835720 451972280 677958420 700557034 1050835551 1355916840 1401114068 1751392585 2101671102 2802228136 3502785170 4203342204 5254177755 7005570340 8406684408 10508355510 14011140680 21016711020 42033422040