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1505356213340 = 225797110850973
BaseRepresentation
bin10101111001111110001…
…110001110110001011100
312022220120212021222010102
4111321332032032301130
5144130432142311330
63111315012000232
7213521062455620
oct25717616166134
95286525258112
101505356213340
11530466379791
122038b8900078
13abc53cc5505
1452c06b75180
1529257715945
hex15e7e38ec5c

1505356213340 has 48 divisors (see below), whose sum is σ = 3650100871872. Its totient is φ = 510801278976.

The previous prime is 1505356213337. The next prime is 1505356213351. The reversal of 1505356213340 is 433126535051.

It is a junction number, because it is equal to n+sod(n) for n = 1505356213294 and 1505356213303.

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, 55411907 + ... + 55439066.

It is an arithmetic number, because the mean of its divisors is an integer number (76043768164).

Almost surely, 21505356213340 is an apocalyptic number.

1505356213340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1505356213340 is an abundant number, since it is smaller than the sum of its proper divisors (2144744658532).

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

1505356213340 is a wasteful number, since it uses less digits than its factorization.

1505356213340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110851086 (or 110851084 counting only the distinct ones).

The product of its (nonzero) digits is 162000, while the sum is 38.

The spelling of 1505356213340 in words is "one trillion, five hundred five billion, three hundred fifty-six million, two hundred thirteen thousand, three hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 97 140 194 388 485 679 970 1358 1940 2716 3395 6790 13580 110850973 221701946 443403892 554254865 775956811 1108509730 1551913622 2217019460 3103827244 3879784055 7759568110 10752544381 15519136220 21505088762 43010177524 53762721905 75267810667 107525443810 150535621334 215050887620 301071242668 376339053335 752678106670 1505356213340