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14675025440 = 255192298761
BaseRepresentation
bin11011010101011001…
…10001111000100000
31101212201122112101202
431222230301320200
5220023301303230
610424104420332
71026442441505
oct155254617040
941781575352
1014675025440
11625073a8a9
122a167776a8
1314cb41580a
149d2dcd4ac
155ad520a45
hex36ab31e20

14675025440 has 144 divisors (see below), whose sum is σ = 37856571480. Its totient is φ = 5368688640.

The previous prime is 14675025439. The next prime is 14675025479. The reversal of 14675025440 is 4452057641.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 8582910736 + 6092114704 = 92644^2 + 78052^2 .

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a junction number, because it is equal to n+sod(n) for n = 14675025394 and 14675025403.

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, 1670660 + ... + 1679420.

Almost surely, 214675025440 is an apocalyptic number.

14675025440 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 14675025440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18928285740).

14675025440 is an abundant number, since it is smaller than the sum of its proper divisors (23181546040).

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

14675025440 is a wasteful number, since it uses less digits than its factorization.

14675025440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8843 (or 8816 counting only the distinct ones).

The product of its (nonzero) digits is 134400, while the sum is 38.

The spelling of 14675025440 in words is "fourteen billion, six hundred seventy-five million, twenty-five thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 19 20 29 32 38 40 58 76 80 95 116 145 152 160 190 232 290 304 361 380 464 551 580 608 722 760 928 1102 1160 1444 1520 1805 2204 2320 2755 2888 3040 3610 4408 4640 5510 5776 7220 8761 8816 10469 11020 11552 14440 17522 17632 20938 22040 28880 35044 41876 43805 44080 52345 57760 70088 83752 87610 88160 104690 140176 166459 167504 175220 209380 254069 280352 332918 335008 350440 418760 508138 665836 700880 832295 837520 1016276 1270345 1331672 1401760 1664590 1675040 2032552 2540690 2663344 3162721 3329180 4065104 4827311 5081380 5326688 6325442 6658360 8130208 9654622 10162760 12650884 13316720 15813605 19309244 20325520 24136555 25301768 26633440 31627210 38618488 40651040 48273110 50603536 63254420 77236976 91718909 96546220 101207072 126508840 154473952 183437818 193092440 253017680 366875636 386184880 458594545 506035360 733751272 772369760 917189090 1467502544 1834378180 2935005088 3668756360 7337512720 14675025440