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415154412340 = 225157463728513
BaseRepresentation
bin1100000101010010010…
…00011001101100110100
31110200120211021021120221
412002221020121230310
523300214012143330
6514415211504124
741664625165123
oct6025110315464
91420524237527
10415154412340
1115007a92a718
1268562458044
13301c216c735
1416144addaba
15abec05eb7a
hex60a9219b34

415154412340 has 48 divisors (see below), whose sum is σ = 877597276752. Its totient is φ = 164962676736.

The previous prime is 415154412329. The next prime is 415154412359. The reversal of 415154412340 is 43214451514.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 104080804 + 415050331536 = 10202^2 + 644244^2 .

It is a junction number, because it is equal to n+sod(n) for n = 415154412296 and 415154412305.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14545924 + ... + 14574436.

It is an arithmetic number, because the mean of its divisors is an integer number (18283276599).

Almost surely, 2415154412340 is an apocalyptic number.

It is an amenable number.

415154412340 is an abundant number, since it is smaller than the sum of its proper divisors (462442864412).

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

415154412340 is a wasteful number, since it uses less digits than its factorization.

415154412340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33316 (or 33314 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 34.

Adding to 415154412340 its reverse (43214451514), we get a palindrome (458368863854).

The spelling of 415154412340 in words is "four hundred fifteen billion, one hundred fifty-four million, four hundred twelve thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 157 314 628 785 1570 3140 4637 9274 18548 23185 28513 46370 57026 92740 114052 142565 285130 570260 728009 1456018 2912036 3640045 4476541 7280090 8953082 14560180 17906164 22382705 44765410 89530820 132214781 264429562 528859124 661073905 1322147810 2644295620 20757720617 41515441234 83030882468 103788603085 207577206170 415154412340