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2452042334240 = 255791151168541
BaseRepresentation
bin100011101011101001000…
…111001100000000100000
322200102011001020201110122
4203223221013030000200
5310133240314143430
65114241441015412
7342103615643042
oct43535107140040
98612131221418
102452042334240
118659a5a78174
12337280024568
1314a2c3abc915
14869726dba92
1543bb36e1ee5
hex23ae91cc020

2452042334240 has 96 divisors (see below), whose sum is σ = 5871410012160. Its totient is φ = 967554432000.

The previous prime is 2452042334227. The next prime is 2452042334263. The reversal of 2452042334240 is 424332402542.

It is a self number, because there is not a number n which added to its sum of digits gives 2452042334240.

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, 14464370 + ... + 14632910.

It is an arithmetic number, because the mean of its divisors is an integer number (61160520960).

Almost surely, 22452042334240 is an apocalyptic number.

2452042334240 is a gapful number since it is divisible by the number (20) 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 2452042334240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2935705006080).

2452042334240 is an abundant number, since it is smaller than the sum of its proper divisors (3419367677920).

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

2452042334240 is a wasteful number, since it uses less digits than its factorization.

2452042334240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 169786 (or 169778 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 35.

Adding to 2452042334240 its reverse (424332402542), we get a palindrome (2876374736782).

The spelling of 2452042334240 in words is "two trillion, four hundred fifty-two billion, forty-two million, three hundred thirty-four thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 79 80 158 160 316 395 632 790 1151 1264 1580 2302 2528 3160 4604 5755 6320 9208 11510 12640 18416 23020 36832 46040 90929 92080 168541 181858 184160 337082 363716 454645 674164 727432 842705 909290 1348328 1454864 1685410 1818580 2696656 2909728 3370820 3637160 5393312 6741640 7274320 13314739 13483280 14548640 26629478 26966560 53258956 66573695 106517912 133147390 193990691 213035824 266294780 387981382 426071648 532589560 775962764 969953455 1065179120 1551925528 1939906910 2130358240 3103851056 3879813820 6207702112 7759627640 15325264589 15519255280 30650529178 31038510560 61301058356 76626322945 122602116712 153252645890 245204233424 306505291780 490408466848 613010583560 1226021167120 2452042334240