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40142510000000 = 27574014251
BaseRepresentation
bin10010010000010011010000…
…00011001000011110000000
312021010120211112122002202122
421020021220003020132000
520230143330030000000
6221213114200103412
711312125551051212
oct1110115003103600
9167116745562678
1040142510000000
1111877385422381
124603a79464b68
13195256517a755
149cac9d1dc5b2
154992eae92085
hex2482680c8780

40142510000000 has 128 divisors (see below), whose sum is σ = 99964027294560. Its totient is φ = 16057000000000.

The previous prime is 40142509999981. The next prime is 40142510000003. The reversal of 40142510000000 is 1524104.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×401425100000002 (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 (40142510000003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7992875 + ... + 12007125.

Almost surely, 240142510000000 is an apocalyptic number.

40142510000000 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 40142510000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49982013647280).

40142510000000 is an abundant number, since it is smaller than the sum of its proper divisors (59821517294560).

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

40142510000000 is an frugal number, since it uses more digits than its factorization.

40142510000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4014300 (or 4014258 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 17.

Adding to 40142510000000 its reverse (1524104), we get a palindrome (40142511524104).

The spelling of 40142510000000 in words is "forty trillion, one hundred forty-two billion, five hundred ten million", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 320 400 500 625 640 800 1000 1250 1600 2000 2500 3125 3200 4000 5000 6250 8000 10000 12500 15625 16000 20000 25000 31250 40000 50000 62500 78125 80000 100000 125000 156250 200000 250000 312500 400000 500000 625000 1000000 1250000 2000000 2500000 4014251 5000000 8028502 10000000 16057004 20071255 32114008 40142510 64228016 80285020 100356275 128456032 160570040 200712550 256912064 321140080 401425100 501781375 513824128 642280160 802850200 1003562750 1284560320 1605700400 2007125500 2508906875 2569120640 3211400800 4014251000 5017813750 6422801600 8028502000 10035627500 12544534375 12845603200 16057004000 20071255000 25089068750 32114008000 40142510000 50178137500 62722671875 64228016000 80285020000 100356275000 125445343750 160570040000 200712550000 250890687500 313613359375 321140080000 401425100000 501781375000 627226718750 802850200000 1003562750000 1254453437500 1605700400000 2007125500000 2508906875000 4014251000000 5017813750000 8028502000000 10035627500000 20071255000000 40142510000000