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20312460145040 = 2457231167153227
BaseRepresentation
bin1001001111001010111001…
…11110001011000110010000
32122220212000021100111002012
410213211130332023012100
510130244404244120130
6111111225415242052
74164345461312600
oct447453476130620
978825007314065
1020312460145040
116521514230768
122340835979328
13b445c26b671b
145031b215ac00
152535913a9995
hex12795cf8b190

20312460145040 has 120 divisors (see below), whose sum is σ = 56709072744192. Its totient is φ = 6739618072320.

The previous prime is 20312460144979. The next prime is 20312460145049. The reversal of 20312460145040 is 4054106421302.

It is a junction number, because it is equal to n+sod(n) for n = 20312460144988 and 20312460145006.

It is not an unprimeable number, because it can be changed into a prime (20312460145049) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 83455094 + ... + 83698133.

Almost surely, 220312460145040 is an apocalyptic number.

20312460145040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20312460145040 is an abundant number, since it is smaller than the sum of its proper divisors (36396612599152).

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

20312460145040 is a wasteful number, since it uses less digits than its factorization.

20312460145040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167153285 (or 167153272 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 32.

Adding to 20312460145040 its reverse (4054106421302), we get a palindrome (24366566566342).

The spelling of 20312460145040 in words is "twenty trillion, three hundred twelve billion, four hundred sixty million, one hundred forty-five thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 31 35 40 49 56 62 70 80 98 112 124 140 155 196 217 245 248 280 310 392 434 490 496 560 620 784 868 980 1085 1240 1519 1736 1960 2170 2480 3038 3472 3920 4340 6076 7595 8680 12152 15190 17360 24304 30380 60760 121520 167153227 334306454 668612908 835766135 1170072589 1337225816 1671532270 2340145178 2674451632 3343064540 4680290356 5181750037 5850362945 6686129080 8190508123 9360580712 10363500074 11700725890 13372258160 16381016246 18721161424 20727000148 23401451780 25908750185 32762032492 36272250259 40952540615 41454000296 46802903560 51817500370 65524064984 72544500518 81905081230 82908000592 93605807120 103635000740 131048129968 145089001036 163810162460 181361251295 207270001480 253905751813 290178002072 327620324920 362722502590 414540002960 507811503626 580356004144 655240649840 725445005180 1015623007252 1269528759065 1450890010360 2031246014504 2539057518130 2901780020720 4062492029008 5078115036260 10156230072520 20312460145040