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42141403001040 = 2435739563634031
BaseRepresentation
bin10011001010011110011110…
…10110110011000011010000
312112012200022211110120122020
421211033033112303003100
521010421043132013130
6225343254314211440
711606421152163120
oct1145171726630320
9175180284416566
1042141403001040
1112478083408492
124887352723b80
131a68bc0280545
14a59924a4ac80
154d12dbba4e10
hex2653cf5b30d0

42141403001040 has 160 divisors (see below), whose sum is σ = 149304979869696. Its totient is φ = 9632062026240.

The previous prime is 42141403001029. The next prime is 42141403001041. The reversal of 42141403001040 is 4010030414124.

42141403001040 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 42141403001040.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42141403001041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 66148825 + ... + 66782855.

Almost surely, 242141403001040 is an apocalyptic number.

42141403001040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42141403001040 is an abundant number, since it is smaller than the sum of its proper divisors (107163576868656).

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

42141403001040 is a wasteful number, since it uses less digits than its factorization.

42141403001040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 673617 (or 673611 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 42141403001040 its reverse (4010030414124), we get a palindrome (46151433415164).

The spelling of 42141403001040 in words is "forty-two trillion, one hundred forty-one billion, four hundred three million, one thousand, forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 56 60 70 80 84 105 112 120 140 168 210 240 280 336 420 560 840 1680 39563 79126 118689 158252 197815 237378 276941 316504 395630 474756 553882 593445 633008 634031 791260 830823 949512 1107764 1186890 1268062 1384705 1582520 1661646 1899024 1902093 2215528 2373780 2536124 2769410 3165040 3170155 3323292 3804186 4154115 4431056 4438217 4747560 5072248 5538820 6340310 6646584 7608372 8308230 8876434 9495120 9510465 10144496 11077640 12680620 13293168 13314651 15216744 16616460 17752868 19020930 22155280 22191085 25361240 26629302 30433488 33232920 35505736 38041860 44382170 50722480 53258604 66465840 66573255 71011472 76083720 88764340 106517208 133146510 152167440 177528680 213034416 266293020 355057360 532586040 1065172080 25084168453 50168336906 75252505359 100336673812 125420842265 150505010718 175589179171 200673347624 250841684530 301010021436 351178358342 376262526795 401346695248 501683369060 526767537513 602020042872 702356716684 752525053590 877945895855 1003366738120 1053535075026 1204040085744 1404713433368 1505050107180 1755891791710 2006733476240 2107070150052 2633837687565 2809426866736 3010100214360 3511783583420 4214140300104 5267675375130 6020200428720 7023567166840 8428280600208 10535350750260 14047134333680 21070701500520 42141403001040