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40290543216 = 243272112411151
BaseRepresentation
bin100101100001100000…
…001110011001110000
310211222220202122212100
4211201200032121300
51130003334340331
630301554100400
72624302652400
oct454140163160
9124886678770
1040290543216
11160a5a63500
12798527a700
133a5131bb21
141d42ddc800
1510ac278ae6
hex96180e670

40290543216 has 540 divisors, whose sum is σ = 147820038912. Its totient is φ = 10200960000.

The previous prime is 40290543179. The next prime is 40290543253. The reversal of 40290543216 is 61234509204.

It is a happy number.

40290543216 is a `hidden beast` number, since 4 + 0 + 2 + 90 + 543 + 21 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (40290543179) and next prime (40290543253).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 35004241 + ... + 35005391.

Almost surely, 240290543216 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40290543216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73910019456).

40290543216 is an abundant number, since it is smaller than the sum of its proper divisors (107529495696).

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

40290543216 is a wasteful number, since it uses less digits than its factorization.

40290543216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1242 (or 1215 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 40290543216 in words is "forty billion, two hundred ninety million, five hundred forty-three thousand, two hundred sixteen".