Search a number
-
+
40525789479480 = 23325157717016799
BaseRepresentation
bin10010011011011101001010…
…10010010100001000111000
312022111020010221121000121200
421031232211102110020320
520302433304101320410
6222105142441334200
711351614561633044
oct1115564522241070
9168436127530550
1040525789479480
1111a04988724178
124666204a97360
13197c74768a166
14a0165c873024
154a427e9bc3c0
hex24dba5494238

40525789479480 has 96 divisors (see below), whose sum is σ = 132547725648000. Its totient is φ = 10738043566848.

The previous prime is 40525789479451. The next prime is 40525789479481. The reversal of 40525789479480 is 8497498752504.

It is a happy number.

40525789479480 is a `hidden beast` number, since 4 + 0 + 5 + 2 + 5 + 78 + 9 + 4 + 79 + 480 = 666.

It is a super-2 number, since 2×405257894794802 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 40525789479399 and 40525789479408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40525789479481) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 358451880 + ... + 358564919.

It is an arithmetic number, because the mean of its divisors is an integer number (1380705475500).

Almost surely, 240525789479480 is an apocalyptic number.

40525789479480 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

40525789479480 is an abundant number, since it is smaller than the sum of its proper divisors (92021936168520).

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

40525789479480 is a wasteful number, since it uses less digits than its factorization.

40525789479480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 717016973 (or 717016966 counting only the distinct ones).

The product of its (nonzero) digits is 812851200, while the sum is 72.

The spelling of 40525789479480 in words is "forty trillion, five hundred twenty-five billion, seven hundred eighty-nine million, four hundred seventy-nine thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 157 180 314 360 471 628 785 942 1256 1413 1570 1884 2355 2826 3140 3768 4710 5652 6280 7065 9420 11304 14130 18840 28260 56520 717016799 1434033598 2151050397 2868067196 3585083995 4302100794 5736134392 6453151191 7170167990 8604201588 10755251985 12906302382 14340335980 17208403176 21510503970 25812604764 28680671960 32265755955 43021007940 51625209528 64531511910 86042015880 112571637443 129063023820 225143274886 258126047640 337714912329 450286549772 562858187215 675429824658 900573099544 1013144736987 1125716374430 1350859649316 1688574561645 2026289473974 2251432748860 2701719298632 3377149123290 4052578947948 4502865497720 5065723684935 6754298246580 8105157895896 10131447369870 13508596493160 20262894739740 40525789479480