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12254034354640 = 24513192069299731
BaseRepresentation
bin1011001001010001110101…
…0111010110000111010000
31121101110210201112102001221
42302110131113112013100
53101232230243322030
642021231535534424
72403216252262111
oct262243527260720
947343721472057
1012254034354640
1139a49a7a27441
12145aab738a414
136ab72053b270
14305154128208
15163b4eee8e7a
hexb251d5d61d0

12254034354640 has 160 divisors (see below), whose sum is σ = 32312788099200. Its totient is φ = 4284345415680.

The previous prime is 12254034354589. The next prime is 12254034354689. The reversal of 12254034354640 is 4645343045221.

It is a super-2 number, since 2×122540343546402 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 40733575 + ... + 41033305.

It is an arithmetic number, because the mean of its divisors is an integer number (201954925620).

Almost surely, 212254034354640 is an apocalyptic number.

12254034354640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12254034354640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16156394049600).

12254034354640 is an abundant number, since it is smaller than the sum of its proper divisors (20058753744560).

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

12254034354640 is a wasteful number, since it uses less digits than its factorization.

12254034354640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 301845 (or 301839 counting only the distinct ones).

The product of its (nonzero) digits is 1382400, while the sum is 43.

Adding to 12254034354640 its reverse (4645343045221), we get a palindrome (16899377399861).

The spelling of 12254034354640 in words is "twelve trillion, two hundred fifty-four billion, thirty-four million, three hundred fifty-four thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 13 16 19 20 26 38 40 52 65 76 80 95 104 130 152 190 208 247 260 304 380 494 520 760 988 1040 1235 1520 1976 2069 2470 3952 4138 4940 8276 9880 10345 16552 19760 20690 26897 33104 39311 41380 53794 78622 82760 107588 134485 157244 165520 196555 215176 268970 299731 314488 393110 430352 511043 537940 599462 628976 786220 1022086 1075880 1198924 1498655 1572440 2044172 2151760 2397848 2555215 2997310 3144880 3896503 4088344 4795696 5110430 5694889 5994620 7793006 8176688 10220860 11389778 11989240 15586012 19482515 20441720 22779556 23978480 28474445 31172024 38965030 40883440 45559112 56948890 62344048 74033557 77930060 91118224 113897780 148067114 155860120 227795560 296134228 311720240 370167785 455591120 592268456 620143439 740335570 1184536912 1240286878 1480671140 2480573756 2961342280 3100717195 4961147512 5922684560 6201434390 8061864707 9922295024 11782725341 12402868780 16123729414 23565450682 24805737560 32247458828 40309323535 47130901364 49611475120 58913626705 64494917656 80618647070 94261802728 117827253410 128989835312 153175429433 161237294140 188523605456 235654506820 306350858866 322474588280 471309013640 612701717732 644949176560 765877147165 942618027280 1225403435464 1531754294330 2450806870928 3063508588660 6127017177320 12254034354640