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240542212420 = 225431074336037
BaseRepresentation
bin1110000000000101101…
…1101110000101000100
3211222212210121110121101
43200001123232011010
512420112301244140
6302300434225444
723243601033016
oct3400133560504
9758783543541
10240542212420
1193016898484
123a751125284
13198b5816393
14b8dc6b21b6
1563cc86199a
hex38016ee144

240542212420 has 96 divisors (see below), whose sum is σ = 523008275328. Its totient is φ = 92870572032.

The previous prime is 240542212387. The next prime is 240542212433. The reversal of 240542212420 is 24212245042.

It is a happy 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, 39841642 + ... + 39847678.

It is an arithmetic number, because the mean of its divisors is an integer number (5448002868).

Almost surely, 2240542212420 is an apocalyptic number.

240542212420 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 240542212420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261504137664).

240542212420 is an abundant number, since it is smaller than the sum of its proper divisors (282466062908).

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

240542212420 is a wasteful number, since it uses less digits than its factorization.

240542212420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6629 (or 6627 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 28.

Adding to 240542212420 its reverse (24212245042), we get a palindrome (264754457462).

The spelling of 240542212420 in words is "two hundred forty billion, five hundred forty-two million, two hundred twelve thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 43 86 107 172 214 215 428 430 433 535 860 866 1070 1732 2140 2165 4330 4601 6037 8660 9202 12074 18404 18619 23005 24148 30185 37238 46010 46331 60370 74476 92020 92662 93095 120740 185324 186190 231655 259591 372380 463310 519182 645959 926620 1038364 1291918 1297955 1992233 2583836 2595910 2614021 3229795 3984466 5191820 5228042 6459590 7968932 9961165 10456084 12919180 13070105 19922330 26140210 27776237 39844660 52280420 55552474 111104948 112402903 138881185 224805806 277762370 279700247 449611612 555524740 559400494 562014515 1118800988 1124029030 1398501235 2248058060 2797002470 5594004940 12027110621 24054221242 48108442484 60135553105 120271106210 240542212420