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214510037940 = 2233511297117539
BaseRepresentation
bin1100011111000111001…
…0110110101110110100
3202111200120110222121000
43013301302312232310
512003304032203230
6242313342323300
721332521144422
oct3076162665664
9674616428530
10214510037940
1182a783624a0
12356a6b89530
13172c74b9043
14a54d204112
1558a7254b60
hex31f1cb6bb4

214510037940 has 384 divisors, whose sum is σ = 763789824000. Its totient is φ = 49499251200.

The previous prime is 214510037927. The next prime is 214510037953. The reversal of 214510037940 is 49730015412.

214510037940 is a `hidden beast` number, since 2 + 145 + 100 + 379 + 40 = 666.

214510037940 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (214510037927) and next prime (214510037953).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 214510037895 and 214510037904.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 12221691 + ... + 12239229.

It is an arithmetic number, because the mean of its divisors is an integer number (1989036000).

Almost surely, 2214510037940 is an apocalyptic number.

214510037940 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 214510037940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (381894912000).

214510037940 is an abundant number, since it is smaller than the sum of its proper divisors (549279786060).

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

214510037940 is a wasteful number, since it uses less digits than its factorization.

214510037940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17668 (or 17660 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The spelling of 214510037940 in words is "two hundred fourteen billion, five hundred ten million, thirty-seven thousand, nine hundred forty".