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42061801040 = 2457419179261
BaseRepresentation
bin100111001011000101…
…000010011001010000
311000120100200212210222
4213023011002121100
51142120310113130
631153430212212
73016221260360
oct471305023120
9130510625728
1042061801040
1116924876746
12819a4b4068
133c7428758c
1420703529a0
151162a05ce5
hex9cb142650

42061801040 has 80 divisors (see below), whose sum is σ = 112031579520. Its totient is φ = 14386690560.

The previous prime is 42061801031. The next prime is 42061801051. The reversal of 42061801040 is 4010816024.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 145010 + ... + 324270.

It is an arithmetic number, because the mean of its divisors is an integer number (1400394744).

Almost surely, 242061801040 is an apocalyptic number.

42061801040 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 42061801040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56015789760).

42061801040 is an abundant number, since it is smaller than the sum of its proper divisors (69969778480).

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

42061801040 is a wasteful number, since it uses less digits than its factorization.

42061801040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 179700 (or 179694 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 26.

The spelling of 42061801040 in words is "forty-two billion, sixty-one million, eight hundred one thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 280 419 560 838 1676 2095 2933 3352 4190 5866 6704 8380 11732 14665 16760 23464 29330 33520 46928 58660 117320 179261 234640 358522 717044 896305 1254827 1434088 1792610 2509654 2868176 3585220 5019308 6274135 7170440 10038616 12548270 14340880 20077232 25096540 50193080 75110359 100386160 150220718 300441436 375551795 525772513 600882872 751103590 1051545026 1201765744 1502207180 2103090052 2628862565 3004414360 4206180104 5257725130 6008828720 8412360208 10515450260 21030900520 42061801040