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20103140023040 = 285312571971329
BaseRepresentation
bin1001001001000101000001…
…00001010001101100000000
32122011211201101121112202002
410210202200201101230000
510113332212321214130
6110431131030443132
74143255356530334
oct444424041215400
978154641545662
1020103140023040
11645076a5009a8
122308158b034a8
13b2a9444c2679
144d6dd63337c4
1524cddeac2b45
hex1248a0851b00

20103140023040 has 144 divisors (see below), whose sum is σ = 49900071271680. Its totient is φ = 7751577108480.

The previous prime is 20103140023033. The next prime is 20103140023067. The reversal of 20103140023040 is 4032004130102.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9212096 + ... + 11183424.

It is an arithmetic number, because the mean of its divisors is an integer number (346528272720).

Almost surely, 220103140023040 is an apocalyptic number.

20103140023040 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 20103140023040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24950035635840).

20103140023040 is an abundant number, since it is smaller than the sum of its proper divisors (29796931248640).

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

20103140023040 is a wasteful number, since it uses less digits than its factorization.

20103140023040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1971638 (or 1971624 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 20103140023040 its reverse (4032004130102), we get a palindrome (24135144153142).

The spelling of 20103140023040 in words is "twenty trillion, one hundred three billion, one hundred forty million, twenty-three thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 31 32 40 62 64 80 124 128 155 160 248 256 257 310 320 496 514 620 640 992 1028 1240 1280 1285 1984 2056 2480 2570 3968 4112 4960 5140 7936 7967 8224 9920 10280 15934 16448 19840 20560 31868 32896 39680 39835 41120 63736 65792 79670 82240 127472 159340 164480 254944 318680 328960 509888 637360 1019776 1274720 1971329 2039552 2549440 3942658 5098880 7885316 9856645 10197760 15770632 19713290 31541264 39426580 61111199 63082528 78853160 122222398 126165056 157706320 244444796 252330112 305555995 315412640 488889592 504660224 506631553 611111990 630825280 977779184 1013263106 1222223980 1261650560 1955558368 2026526212 2444447960 2523301120 2533157765 3911116736 4053052424 4888895920 5066315530 7822233472 8106104848 9777791840 10132631060 15644466944 15705578143 16212209696 19555583680 20265262120 31411156286 32424419392 39111167360 40530524240 62822312572 64848838784 78222334720 78527890715 81061048480 125644625144 129697677568 157055781430 162122096960 251289250288 314111562860 324244193920 502578500576 628223125720 648488387840 1005157001152 1256446251440 2010314002304 2512892502880 4020628004608 5025785005760 10051570011520 20103140023040