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25420241440 = 2551121777237
BaseRepresentation
bin10111101011001010…
…100001101000100000
32102121120200001200201
4113223022201220200
5404030040211230
615402231554544
71556636326036
oct275312415040
972546601621
1025420241440
11a865077700
124b1522ba54
1325216140a9
1413320da556
159dba335ca
hex5eb2a1a20

25420241440 has 144 divisors (see below), whose sum is σ = 69895137816. Its totient is φ = 8699863040.

The previous prime is 25420241419. The next prime is 25420241467. The reversal of 25420241440 is 4414202452.

It can be written as a sum of positive squares in 4 ways, for example, as 14972948496 + 10447292944 = 122364^2 + 102212^2 .

It is a junction number, because it is equal to n+sod(n) for n = 25420241399 and 25420241408.

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, 290502 + ... + 367738.

Almost surely, 225420241440 is an apocalyptic number.

25420241440 is a gapful number since it is divisible by the number (20) 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 25420241440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34947568908).

25420241440 is an abundant number, since it is smaller than the sum of its proper divisors (44474896376).

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

25420241440 is a wasteful number, since it uses less digits than its factorization.

25420241440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77291 (or 77272 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 28.

Adding to 25420241440 its reverse (4414202452), we get a palindrome (29834443892).

The spelling of 25420241440 in words is "twenty-five billion, four hundred twenty million, two hundred forty-one thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 16 17 20 22 32 34 40 44 55 68 80 85 88 110 121 136 160 170 176 187 220 242 272 340 352 374 440 484 544 605 680 748 880 935 968 1210 1360 1496 1760 1870 1936 2057 2420 2720 2992 3740 3872 4114 4840 5984 7480 8228 9680 10285 14960 16456 19360 20570 29920 32912 41140 65824 77237 82280 154474 164560 308948 329120 386185 617896 772370 849607 1235792 1313029 1544740 1699214 2471584 2626058 3089480 3398428 4248035 5252116 6178960 6565145 6796856 8496070 9345677 10504232 12357920 13130290 13593712 14443319 16992140 18691354 21008464 26260580 27187424 28886638 33984280 37382708 42016928 46728385 52521160 57773276 67968560 72216595 74765416 93456770 105042320 115546552 135937120 144433190 149530832 158876509 186913540 210084640 231093104 288866380 299061664 317753018 373827080 462186208 577732760 635506036 747654160 794382545 1155465520 1271012072 1495308320 1588765090 2310931040 2542024144 3177530180 5084048288 6355060360 12710120720 25420241440