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134434512340650 = 232521015635253739
BaseRepresentation
bin11110100100010001111001…
…010110101000011010101010
3122121222210222022022220202200
4132210101321112220122222
5120110033340124400100
61153530210135241030
740213400352523554
oct3644217126503252
9577883868286680
10134434512340650
11399203a1574575
12130b2386219176
135a02173b8b8a2
14252a9451084d4
151081e3bca0e00
hex7a44795a86aa

134434512340650 has 144 divisors (see below), whose sum is σ = 365404720056480. Its totient is φ = 35431209072000.

The previous prime is 134434512340627. The next prime is 134434512340741. The reversal of 134434512340650 is 56043215434431.

134434512340650 is a `hidden beast` number, since 1 + 3 + 4 + 4 + 34 + 512 + 3 + 40 + 65 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 134434512340596 and 134434512340605.

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 71 ways as a sum of consecutive naturals, for example, 22961481 + ... + 28215219.

It is an arithmetic number, because the mean of its divisors is an integer number (2537532778170).

Almost surely, 2134434512340650 is an apocalyptic number.

134434512340650 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 134434512340650, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182702360028240).

134434512340650 is an abundant number, since it is smaller than the sum of its proper divisors (230970207715830).

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

134434512340650 is a wasteful number, since it uses less digits than its factorization.

134434512340650 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5254421 (or 5254413 counting only the distinct ones).

The product of its (nonzero) digits is 2073600, while the sum is 45.

The spelling of 134434512340650 in words is "one hundred thirty-four trillion, four hundred thirty-four billion, five hundred twelve million, three hundred forty thousand, six hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 30 45 50 75 90 101 150 202 225 303 450 505 563 606 909 1010 1126 1515 1689 1818 2525 2815 3030 3378 4545 5050 5067 5630 7575 8445 9090 10134 14075 15150 16890 22725 25335 28150 42225 45450 50670 56863 84450 113726 126675 170589 253350 284315 341178 511767 568630 852945 1023534 1421575 1705890 2558835 2843150 4264725 5117670 5253739 8529450 10507478 12794175 15761217 25588350 26268695 31522434 47283651 52537390 78806085 94567302 131343475 157612170 236418255 262686950 394030425 472836510 530627639 788060850 1061255278 1182091275 1591882917 2364182550 2653138195 2957855057 3183765834 4775648751 5306276390 5915710114 7959414585 8873565171 9551297502 13265690975 14789275285 15918829170 17747130342 23878243755 26531381950 26620695513 29578550570 39797072925 44367825855 47756487510 53241391026 73946376425 79594145850 88735651710 119391218775 133103477565 147892752850 221839129275 238782437550 266206955130 298743360757 443678258550 597486721514 665517387825 896230082271 1331034775650 1493716803785 1792460164542 2688690246813 2987433607570 4481150411355 5377380493626 7468584018925 8962300822710 13443451234065 14937168037850 22405752056775 26886902468130 44811504113550 67217256170325 134434512340650