Search a number
-
+
12425792905440 = 2532561141459391
BaseRepresentation
bin1011010011010001101011…
…1110001110000011100000
31121222220010212112211101100
42310310122332032003200
53112041010440433230
642232155213434400
72421506506002405
oct264643276160340
947886125484340
1012425792905440
113a60827178882
121488250a9ba00
136c1993902045
1430d5a95682ac
15168353e11660
hexb4d1af8e0e0

12425792905440 has 144 divisors (see below), whose sum is σ = 43098150041856. Its totient is φ = 3259224345600.

The previous prime is 12425792905439. The next prime is 12425792905459. The reversal of 12425792905440 is 4450929752421.

12425792905440 is a `hidden beast` number, since 1 + 2 + 4 + 2 + 5 + 7 + 9 + 2 + 90 + 544 + 0 = 666.

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

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

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, 70641856 + ... + 70817535.

It is an arithmetic number, because the mean of its divisors is an integer number (299292708624).

Almost surely, 212425792905440 is an apocalyptic number.

12425792905440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12425792905440 is an abundant number, since it is smaller than the sum of its proper divisors (30672357136416).

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

12425792905440 is a wasteful number, since it uses less digits than its factorization.

12425792905440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141459473 (or 141459462 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 54.

The spelling of 12425792905440 in words is "twelve trillion, four hundred twenty-five billion, seven hundred ninety-two million, nine hundred five thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 61 72 80 90 96 120 122 144 160 180 183 240 244 288 305 360 366 480 488 549 610 720 732 915 976 1098 1220 1440 1464 1830 1952 2196 2440 2745 2928 3660 4392 4880 5490 5856 7320 8784 9760 10980 14640 17568 21960 29280 43920 87840 141459391 282918782 424378173 565837564 707296955 848756346 1131675128 1273134519 1414593910 1697512692 2121890865 2263350256 2546269038 2829187820 3395025384 4243781730 4526700512 5092538076 5658375640 6365672595 6790050768 8487563460 8629022851 10185076152 11316751280 12731345190 13580101536 16975126920 17258045702 20370152304 22633502560 25462690380 25887068553 33950253840 34516091404 40740304608 43145114255 50925380760 51774137106 67900507680 69032182808 77661205659 86290228510 101850761520 103548274212 129435342765 138064365616 155322411318 172580457020 203701523040 207096548424 258870685530 276128731232 310644822636 345160914040 388306028295 414193096848 517741371060 621289645272 690321828080 776612056590 828386193696 1035482742120 1242579290544 1380643656160 1553224113180 2070965484240 2485158581088 3106448226360 4141930968480 6212896452720 12425792905440