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15400452000420 = 22325296534518037
BaseRepresentation
bin1110000000011011001001…
…1110001000101010100100
32000112021020222102202020200
43200012302132020222210
54004310111203003140
652430511525430500
73146434362061104
oct340066236105244
960467228382220
1015400452000420
1149a8327735543
12188886426b430
138793443a8196
143b3558ad7204
151ba903a94030
hexe01b2788aa4

15400452000420 has 144 divisors (see below), whose sum is σ = 48399572435760. Its totient is φ = 3959100730368.

The previous prime is 15400452000413. The next prime is 15400452000433. The reversal of 15400452000420 is 2400025400451.

15400452000420 is a `hidden beast` number, since 15 + 400 + 4 + 5 + 200 + 0 + 42 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 3629116440576 + 11771335559844 = 1905024^2 + 3430938^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1149642 + ... + 5667678.

It is an arithmetic number, because the mean of its divisors is an integer number (336108141915).

Almost surely, 215400452000420 is an apocalyptic number.

15400452000420 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 15400452000420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24199786217880).

15400452000420 is an abundant number, since it is smaller than the sum of its proper divisors (32999120435340).

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

15400452000420 is a wasteful number, since it uses less digits than its factorization.

15400452000420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4518734 (or 4518729 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 27.

Adding to 15400452000420 its reverse (2400025400451), we get a palindrome (17800477400871).

The spelling of 15400452000420 in words is "fifteen trillion, four hundred billion, four hundred fifty-two million, four hundred twenty", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 29 30 36 45 58 60 87 90 116 145 174 180 261 290 348 435 522 580 653 870 1044 1305 1306 1740 1959 2610 2612 3265 3918 5220 5877 6530 7836 9795 11754 13060 18937 19590 23508 29385 37874 39180 56811 58770 75748 94685 113622 117540 170433 189370 227244 284055 340866 378740 568110 681732 852165 1136220 1704330 3408660 4518037 9036074 13554111 18072148 22590185 27108222 40662333 45180370 54216444 67770555 81324666 90360740 131023073 135541110 162649332 203311665 262046146 271082220 393069219 406623330 524092292 655115365 786138438 813246660 1179207657 1310230730 1572276876 1965346095 2358415314 2620461460 2950278161 3930692190 4716830628 5896038285 5900556322 7861384380 8850834483 11792076570 11801112644 14751390805 17701668966 23584153140 26552503449 29502781610 35403337932 44254172415 53105006898 59005563220 85558066669 88508344830 106210013796 132762517245 171116133338 177016689660 256674200007 265525034490 342232266676 427790333345 513348400014 531050068980 770022600021 855580666690 1026696800028 1283371000035 1540045200042 1711161333380 2566742000070 3080090400084 3850113000105 5133484000140 7700226000210 15400452000420