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134244103134240 = 25325118475006511
BaseRepresentation
bin11110100001100000100100…
…000101001001110000100000
3122121022121111100211000201200
4132201200210011021300200
5120043423410400243430
61153302520053201200
740163550010134111
oct3641404405116040
9577277440730650
10134244103134240
1139857671534570
12130814a6630200
1359ba21a844008
142521640aaa208
15107bee5808460
hex7a1824149c20

134244103134240 has 144 divisors (see below), whose sum is σ = 499754183999616. Its totient is φ = 32544024998400.

The previous prime is 134244103134181. The next prime is 134244103134259. The reversal of 134244103134240 is 42431301442431.

134244103134240 is a `hidden beast` number, since 1 + 3 + 4 + 244 + 1 + 0 + 31 + 342 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 134244103134195 and 134244103134204.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4237487416 + ... + 4237519095.

It is an arithmetic number, because the mean of its divisors is an integer number (3470515166664).

Almost surely, 2134244103134240 is an apocalyptic number.

134244103134240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

134244103134240 is an abundant number, since it is smaller than the sum of its proper divisors (365510080865376).

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

134244103134240 is a wasteful number, since it uses less digits than its factorization.

134244103134240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8475006543 (or 8475006532 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

Adding to 134244103134240 its reverse (42431301442431), we get a palindrome (176675404576671).

The spelling of 134244103134240 in words is "one hundred thirty-four trillion, two hundred forty-four billion, one hundred three million, one hundred thirty-four thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 11 12 15 16 18 20 22 24 30 32 33 36 40 44 45 48 55 60 66 72 80 88 90 96 99 110 120 132 144 160 165 176 180 198 220 240 264 288 330 352 360 396 440 480 495 528 660 720 792 880 990 1056 1320 1440 1584 1760 1980 2640 3168 3960 5280 7920 15840 8475006511 16950013022 25425019533 33900026044 42375032555 50850039066 67800052088 76275058599 84750065110 93225071621 101700078132 127125097665 135600104176 152550117198 169500130220 186450143242 203400156264 254250195330 271200208352 279675214863 305100234396 339000260440 372900286484 381375292995 406800312528 466125358105 508500390660 559350429726 610200468792 678000520880 745800572968 762750585990 813600625056 839025644589 932250716210 1017000781320 1118700859452 1220400937584 1356001041760 1398376074315 1491601145936 1525501171980 1678051289178 1864501432420 2034001562640 2237401718904 2440801875168 2796752148630 2983202291872 3051002343960 3356102578356 3729002864840 4068003125280 4195128222945 4474803437808 5593504297260 6102004687920 6712205156712 7458005729680 8390256445890 8949606875616 11187008594520 12204009375840 13424410313424 14916011459360 16780512891780 22374017189040 26848820626848 33561025783560 44748034378080 67122051567120 134244103134240