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40146758340220 = 2257250518110489
BaseRepresentation
bin10010010000011011001010…
…10001010000111001111100
312021010222210121122010221201
421020031211101100321330
520230231030113341340
6221215055520505244
711312336045254600
oct1110154521207174
9167128717563851
1040146758340220
1111879165506254
12460486417b224
131952a9138022c
149cb183519500
15499498e1e79a
hex248365450e7c

40146758340220 has 72 divisors (see below), whose sum is σ = 98092223979120. Its totient is φ = 13761876038400.

The previous prime is 40146758340043. The next prime is 40146758340229. The reversal of 40146758340220 is 2204385764104.

It is a super-2 number, since 2×401467583402202 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40146758340229) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 894736 + ... + 9005224.

It is an arithmetic number, because the mean of its divisors is an integer number (1362391999710).

Almost surely, 240146758340220 is an apocalyptic number.

It is an amenable number.

40146758340220 is an abundant number, since it is smaller than the sum of its proper divisors (57945465638900).

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

40146758340220 is a wasteful number, since it uses less digits than its factorization.

40146758340220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8115563 (or 8115554 counting only the distinct ones).

The product of its (nonzero) digits is 1290240, while the sum is 46.

The spelling of 40146758340220 in words is "forty trillion, one hundred forty-six billion, seven hundred fifty-eight million, three hundred forty thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 70 98 140 196 245 490 980 5051 10102 20204 25255 35357 50510 70714 101020 141428 176785 247499 353570 494998 707140 989996 1237495 2474990 4949980 8110489 16220978 32441956 40552445 56773423 81104890 113546846 162209780 227093692 283867115 397413961 567734230 794827922 1135468460 1589655844 1987069805 3974139610 7948279220 40966079939 81932159878 163864319756 204830399695 286762559573 409660799390 573525119146 819321598780 1147050238292 1433812797865 2007337917011 2867625595730 4014675834022 5735251191460 8029351668044 10036689585055 20073379170110 40146758340220