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574145003240 = 235293713377097
BaseRepresentation
bin10000101101011011011…
…01010111111011101000
32000212222011010010121122
420112231231113323220
533401322110100430
61115431503554412
756323564001504
oct10265555277350
92025864103548
10574145003240
11201547982886
1293333bbba08
13421ac256563
141db08537304
15ee050acee5
hex85adb57ee8

574145003240 has 64 divisors (see below), whose sum is σ = 1372490254800. Its totient is φ = 215745804288.

The previous prime is 574145003239. The next prime is 574145003303. The reversal of 574145003240 is 42300541475.

It can be written as a sum of positive squares in 8 ways, for example, as 474911183044 + 99233820196 = 689138^2 + 315014^2 .

It is a super-3 number, since 3×5741450032403 (a number of 36 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 574145003240.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6645629 + ... + 6731468.

Almost surely, 2574145003240 is an apocalyptic number.

It is an amenable number.

574145003240 is an abundant number, since it is smaller than the sum of its proper divisors (798345251560).

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

574145003240 is a wasteful number, since it uses less digits than its factorization.

574145003240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13377174 (or 13377170 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 35.

The spelling of 574145003240 in words is "five hundred seventy-four billion, one hundred forty-five million, three thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 20 29 37 40 58 74 116 145 148 185 232 290 296 370 580 740 1073 1160 1480 2146 4292 5365 8584 10730 21460 42920 13377097 26754194 53508388 66885485 107016776 133770970 267541940 387935813 494952589 535083880 775871626 989905178 1551743252 1939679065 1979810356 2474762945 3103486504 3879358130 3959620712 4949525890 7758716260 9899051780 14353625081 15517432520 19798103560 28707250162 57414500324 71768125405 114829000648 143536250810 287072501620 574145003240