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42003461360 = 2457599125219
BaseRepresentation
bin100111000111100110…
…011111010011110000
311000102021220220211002
4213013212133103300
51142010341230420
631143543541132
73014612350010
oct470746372360
9130367826732
1042003461360
11168a494a233
128182a5a7a8
133c6516c263
1420666c7c40
15115c830075
hex9c799f4f0

42003461360 has 80 divisors (see below), whose sum is σ = 111796416000. Its totient is φ = 14377029888.

The previous prime is 42003461359. The next prime is 42003461371. The reversal of 42003461360 is 6316430024.

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, 272831 + ... + 398049.

It is an arithmetic number, because the mean of its divisors is an integer number (1397455200).

Almost surely, 242003461360 is an apocalyptic number.

42003461360 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 42003461360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55898208000).

42003461360 is an abundant number, since it is smaller than the sum of its proper divisors (69792954640).

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

42003461360 is a wasteful number, since it uses less digits than its factorization.

42003461360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125838 (or 125832 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 29.

Adding to 42003461360 its reverse (6316430024), we get a palindrome (48319891384).

The spelling of 42003461360 in words is "forty-two billion, three million, four hundred sixty-one thousand, three hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 280 560 599 1198 2396 2995 4193 4792 5990 8386 9584 11980 16772 20965 23960 33544 41930 47920 67088 83860 125219 167720 250438 335440 500876 626095 876533 1001752 1252190 1753066 2003504 2504380 3506132 4382665 5008760 7012264 8765330 10017520 14024528 17530660 35061320 70122640 75006181 150012362 300024724 375030905 525043267 600049448 750061810 1050086534 1200098896 1500123620 2100173068 2625216335 3000247240 4200346136 5250432670 6000494480 8400692272 10500865340 21001730680 42003461360