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355454554140 = 22325717314359211
BaseRepresentation
bin1010010110000101011…
…11100001000000011100
31020222111020110020222200
411023002233201000130
521310432331213030
6431143224411500
734452331600320
oct5130257410034
91228436406880
10355454554140
11127824913634
1258a81016b90
132769995ca5a
14132c0059980
1593a5d47d60
hex52c2be101c

355454554140 has 1152 divisors, whose sum is σ = 1408136970240. Its totient is φ = 70718054400.

The previous prime is 355454554129. The next prime is 355454554201. The reversal of 355454554140 is 41455454553.

355454554140 is a `hidden beast` number, since 3 + 5 + 5 + 4 + 54 + 554 + 1 + 40 = 666.

It is a super-2 number, since 2×3554545541402 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 1684618635 + ... + 1684618845.

It is an arithmetic number, because the mean of its divisors is an integer number (1222341120).

Almost surely, 2355454554140 is an apocalyptic number.

355454554140 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 355454554140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (704068485120).

355454554140 is an abundant number, since it is smaller than the sum of its proper divisors (1052682416100).

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

355454554140 is a wasteful number, since it uses less digits than its factorization.

355454554140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 383 (or 378 counting only the distinct ones).

The product of its (nonzero) digits is 2400000, while the sum is 45.

The spelling of 355454554140 in words is "three hundred fifty-five billion, four hundred fifty-four million, five hundred fifty-four thousand, one hundred forty".