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142431000001030 = 251331531424346819
BaseRepresentation
bin100000011000101001001101…
…001010001111101000000110
3200200022021022021121222110101
4200120221031022033220012
5122132042142000013110
61222531521553514314
742000204646250656
oct4030511512175006
9620267267558411
10142431000001030
1141423714371a94
1213b840b987299a
136162254bb5980
1427259a90d6366
15116ee556bd13a
hex818a4d28fa06

142431000001030 has 128 divisors (see below), whose sum is σ = 290407383060480. Its totient is φ = 49928632865280.

The previous prime is 142431000001027. The next prime is 142431000001063. The reversal of 142431000001030 is 30100000134241.

It is a super-2 number, since 2×1424310000010302 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 142431000000989 and 142431000001007.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3042138961 + ... + 3042185779.

It is an arithmetic number, because the mean of its divisors is an integer number (2268807680160).

Almost surely, 2142431000001030 is an apocalyptic number.

142431000001030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

142431000001030 is an abundant number, since it is smaller than the sum of its proper divisors (147976383059450).

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

142431000001030 is a wasteful number, since it uses less digits than its factorization.

142431000001030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61166.

The product of its (nonzero) digits is 288, while the sum is 19.

Adding to 142431000001030 its reverse (30100000134241), we get a palindrome (172531000135271).

The spelling of 142431000001030 in words is "one hundred forty-two trillion, four hundred thirty-one billion, one thousand, thirty".

Divisors: 1 2 5 10 13 26 31 53 62 65 106 130 155 265 310 403 530 689 806 1378 1643 2015 3286 3445 4030 6890 8215 14243 16430 21359 28486 42718 46819 71215 93638 106795 142430 185159 213590 234095 370318 441533 468190 608647 754879 883066 925795 1217294 1451389 1509758 1851590 2207665 2481407 2902778 3043235 3774395 4415330 4962814 5739929 6086470 7256945 7548790 9813427 11479858 12407035 14513890 18868057 19626854 23401249 24814070 28699645 32258291 37736114 46802498 49067135 57399290 64516582 76923617 94340285 98134270 117006245 153847234 161291455 188680570 234012490 304216237 322582910 384618085 608432474 666843017 769236170 1000007021 1333686034 1521081185 2000014042 3042162370 3334215085 5000035105 6668430170 8668959221 10000070210 17337918442 20672133527 35342679901 41344267054 43344796105 70685359802 86689592210 103360667635 176713399505 206721335270 268737735851 353426799010 459454838713 537475471702 918909677426 1095623076931 1343688679255 2191246153862 2297274193565 2687377358510 4594548387130 5478115384655 10956230769310 14243100000103 28486200000206 71215500000515 142431000001030