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425401120113120 = 253251527719337399
BaseRepresentation
bin110000010111001100110101…
…0101001101100000111100000
32001210012221122111002202112200
41200232121222221230013200
5421224232443222104440
64104430324321453200
7155414134216303344
oct14056315251540740
92053187574082480
10425401120113120
11113600669135108
123b8657064a1200
131534a1cc3077b8
14770974a0a7624
15342a9d55d9c30
hex182e66aa6c1e0

425401120113120 has 144 divisors (see below), whose sum is σ = 1451776421440800. Its totient is φ = 113432867269632.

The previous prime is 425401120112999. The next prime is 425401120113131. The reversal of 425401120113120 is 21311021104524.

425401120113120 is a `hidden beast` number, since 4 + 2 + 5 + 401 + 1 + 20 + 113 + 120 = 666.

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

It is a super-2 number, since 2×4254011201131202 (a number of 30 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 23 ways as a sum of consecutive naturals, for example, 12330181 + ... + 31667579.

It is an arithmetic number, because the mean of its divisors is an integer number (10081780704450).

Almost surely, 2425401120113120 is an apocalyptic number.

425401120113120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

425401120113120 is an abundant number, since it is smaller than the sum of its proper divisors (1026375301327680).

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

425401120113120 is a wasteful number, since it uses less digits than its factorization.

425401120113120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19352697 (or 19352686 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

Adding to 425401120113120 its reverse (21311021104524), we get a palindrome (446712141217644).

The spelling of 425401120113120 in words is "four hundred twenty-five trillion, four hundred one billion, one hundred twenty million, one hundred thirteen thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 288 360 480 720 1440 15277 30554 45831 61108 76385 91662 122216 137493 152770 183324 229155 244432 274986 305540 366648 458310 488864 549972 611080 687465 733296 916620 1099944 1222160 1374930 1466592 1833240 2199888 2444320 2749860 3666480 4399776 5499720 7332960 10999440 19337399 21998880 38674798 58012197 77349596 96686995 116024394 154699192 174036591 193373990 232048788 290060985 309398384 348073182 386747980 464097576 580121970 618796768 696146364 773495960 870182955 928195152 1160243940 1392292728 1546991920 1740365910 1856390304 2320487880 2784585456 3093983840 3480731820 4640975760 5569170912 6961463640 9281951520 13922927280 27845854560 295417444523 590834889046 886252333569 1181669778092 1477087222615 1772504667138 2363339556184 2658757000707 2954174445230 3545009334276 4431261667845 4726679112368 5317514001414 5908348890460 7090018668552 8862523335690 9453358224736 10635028002828 11816697780920 13293785003535 14180037337104 17725046671380 21270056005656 23633395561840 26587570007070 28360074674208 35450093342760 42540112011312 47266791123680 53175140014140 70900186685520 85080224022624 106350280028280 141800373371040 212700560056560 425401120113120