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20125527141440 = 265714276296153
BaseRepresentation
bin1001001001101110101101…
…11001010110110001000000
32122020222111120220222211102
410210313112321112301000
510114214034422011230
6110445312312233532
74145010216100160
oct444672671266100
978228446828742
1020125527141440
11645a208444346
12231056639b8a8
13b2caa15c58a6
144d811b6845a0
1524d7a01bd045
hex124dd6e56c40

20125527141440 has 112 divisors (see below), whose sum is σ = 54808574631552. Its totient is φ = 6895344193536.

The previous prime is 20125527141403. The next prime is 20125527141509. The reversal of 20125527141440 is 4414172552102.

It is a tau number, because it is divible by the number of its divisors (112).

It is a junction number, because it is equal to n+sod(n) for n = 20125527141394 and 20125527141403.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 48404 + ... + 6344556.

It is an arithmetic number, because the mean of its divisors is an integer number (489362273496).

Almost surely, 220125527141440 is an apocalyptic number.

20125527141440 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 20125527141440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27404287315776).

20125527141440 is an abundant number, since it is smaller than the sum of its proper divisors (34683047490112).

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

20125527141440 is a wasteful number, since it uses less digits than its factorization.

20125527141440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6297604 (or 6297594 counting only the distinct ones).

The product of its (nonzero) digits is 89600, while the sum is 38.

Adding to 20125527141440 its reverse (4414172552102), we get a palindrome (24539699693542).

The spelling of 20125527141440 in words is "twenty trillion, one hundred twenty-five billion, five hundred twenty-seven million, one hundred forty-one thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 140 160 224 280 320 448 560 1120 1427 2240 2854 5708 7135 9989 11416 14270 19978 22832 28540 39956 45664 49945 57080 79912 91328 99890 114160 159824 199780 228320 319648 399560 456640 639296 799120 1598240 3196480 6296153 12592306 25184612 31480765 44073071 50369224 62961530 88146142 100738448 125923060 176292284 201476896 220365355 251846120 352584568 402953792 440730710 503692240 705169136 881461420 1007384480 1410338272 1762922840 2014768960 2820676544 3525845680 7051691360 8984610331 14103382720 17969220662 35938441324 44923051655 62892272317 71876882648 89846103310 125784544634 143753765296 179692206620 251569089268 287507530592 314461361585 359384413240 503138178536 575015061184 628922723170 718768826480 1006276357072 1257845446340 1437537652960 2012552714144 2515690892680 2875075305920 4025105428288 5031381785360 10062763570720 20125527141440