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37140042240000 = 212365472843
BaseRepresentation
bin10000111000111010101110…
…00001100101000000000000
311212111112221101211122000000
420130131113001211000000
514332000301303140000
6210553522212000000
710552164604143420
oct1034352701450000
9155445841748000
1037140042240000
111091a004673027
1241b9ba5000000
1317953a22c8b3b
14925832688480
1544616ec90000
hex21c757065000

37140042240000 has 1820 divisors, whose sum is σ = 159084439009056. Its totient is φ = 8486166528000.

The previous prime is 37140042239929. The next prime is 37140042240023. The reversal of 37140042240000 is 4224004173.

37140042240000 is a `hidden beast` number, since 37 + 1 + 400 + 4 + 224 + 0 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 139 ways as a sum of consecutive naturals, for example, 13063678579 + ... + 13063681421.

Almost surely, 237140042240000 is an apocalyptic number.

37140042240000 is a gapful number since it is divisible by the number (30) 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 37140042240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79542219504528).

37140042240000 is an abundant number, since it is smaller than the sum of its proper divisors (121944396769056).

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

37140042240000 is an frugal number, since it uses more digits than its factorization.

37140042240000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2912 (or 2860 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 27.

Adding to 37140042240000 its reverse (4224004173), we get a palindrome (37144266244173).

The spelling of 37140042240000 in words is "thirty-seven trillion, one hundred forty billion, forty-two million, two hundred forty thousand".