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434895405156 = 2234366372
BaseRepresentation
bin1100101010000011100…
…10010100000001100100
31112120112121102121210000
412111001302110001210
524111131210431111
6531442125501300
743264053644052
oct6250162240144
91476477377700
10434895405156
11158490133813
1270351711830
1332019c9cc84
14170988431d2
15b4a51b7c56
hex6541c94064

434895405156 has 45 divisors (see below), whose sum is σ = 1136933526729. Its totient is φ = 144961178256.

The previous prime is 434895405089. The next prime is 434895405239. The reversal of 434895405156 is 651504598434.

The square root of 434895405156 is 659466.

It is a perfect power (a square), and thus also a powerful number.

434895405156 is a `hidden beast` number, since 4 + 3 + 4 + 89 + 5 + 40 + 515 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 154614104100 + 280281301056 = 393210^2 + 529416^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 11852070 + ... + 11888706.

Almost surely, 2434895405156 is an apocalyptic number.

434895405156 is the 659466-th square number.

It is an amenable number.

434895405156 is an abundant number, since it is smaller than the sum of its proper divisors (702038121573).

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

434895405156 is an frugal number, since it uses more digits than its factorization.

434895405156 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73290 (or 36642 counting only the distinct ones).

The product of its (nonzero) digits is 10368000, while the sum is 54.

The spelling of 434895405156 in words is "four hundred thirty-four billion, eight hundred ninety-five million, four hundred five thousand, one hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 324 36637 73274 109911 146548 219822 329733 439644 659466 989199 1318932 1978398 2967597 3956796 5935194 11870388 1342269769 2684539538 4026809307 5369079076 8053618614 12080427921 16107237228 24160855842 36241283763 48321711684 72482567526 108723851289 144965135052 217447702578 434895405156