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354005114544 = 24323179302221
BaseRepresentation
bin1010010011011000101…
…10010101111010110000
31020211202020002002122200
411021230112111322300
521300000302131134
6430343330103200
734401401553024
oct5115426257260
91224666062580
10354005114544
11127150727174
125873771ab00
13274c8590ca3
14131c3758384
15931d989499
hex526c595eb0

354005114544 has 60 divisors (see below), whose sum is σ = 1022681454912. Its totient is φ = 114195196800.

The previous prime is 354005114543. The next prime is 354005114557. The reversal of 354005114544 is 445411500453.

354005114544 is a `hidden beast` number, since 3 + 54 + 0 + 0 + 51 + 14 + 544 = 666.

It is a super-2 number, since 2×3540051145442 (a number of 24 digits) contains 22 as substring.

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 = 354005114499 and 354005114508.

It is not an unprimeable number, because it can be changed into a prime (354005114543) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 39646647 + ... + 39655574.

Almost surely, 2354005114544 is an apocalyptic number.

It is an amenable number.

354005114544 is an abundant number, since it is smaller than the sum of its proper divisors (668676340368).

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

354005114544 is a wasteful number, since it uses less digits than its factorization.

354005114544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79302266 (or 79302257 counting only the distinct ones).

The product of its (nonzero) digits is 96000, while the sum is 36.

Adding to 354005114544 its reverse (445411500453), we get a palindrome (799416614997).

The spelling of 354005114544 in words is "three hundred fifty-four billion, five million, one hundred fourteen thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 31 36 48 62 72 93 124 144 186 248 279 372 496 558 744 1116 1488 2232 4464 79302221 158604442 237906663 317208884 475813326 634417768 713719989 951626652 1268835536 1427439978 1903253304 2458368851 2854879956 3806506608 4916737702 5709759912 7375106553 9833475404 11419519824 14750213106 19666950808 22125319659 29500426212 39333901616 44250639318 59000852424 88501278636 118001704848 177002557272 354005114544