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1431200134434 = 2371719339726161
BaseRepresentation
bin10100110100111010001…
…011001111010100100010
312001211011210112211210110
4110310322023033110202
5141422044213300214
63013252333512150
7205254321264060
oct24647213172442
95054153484713
101431200134434
11501a7218a064
121b1462042656
13a4c6680c695
144d3b01bb030
15273672ee159
hex14d3a2cf522

1431200134434 has 128 divisors (see below), whose sum is σ = 3490595154432. Its totient is φ = 381887447040.

The previous prime is 1431200134393. The next prime is 1431200134513. The reversal of 1431200134434 is 4344310021341.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 54694314 + ... + 54720474.

It is an arithmetic number, because the mean of its divisors is an integer number (27270274644).

Almost surely, 21431200134434 is an apocalyptic number.

1431200134434 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1431200134434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1745297577216).

1431200134434 is an abundant number, since it is smaller than the sum of its proper divisors (2059395019998).

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

1431200134434 is a wasteful number, since it uses less digits than its factorization.

1431200134434 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26780.

The product of its (nonzero) digits is 13824, while the sum is 30.

Adding to 1431200134434 its reverse (4344310021341), we get a palindrome (5775510155775).

The spelling of 1431200134434 in words is "one trillion, four hundred thirty-one billion, two hundred million, one hundred thirty-four thousand, four hundred thirty-four".

Divisors: 1 2 3 6 7 14 17 21 34 42 51 102 119 193 238 357 386 397 579 714 794 1158 1191 1351 2382 2702 2779 3281 4053 5558 6562 6749 8106 8337 9843 13498 16674 19686 20247 22967 26161 40494 45934 47243 52322 68901 76621 78483 94486 137802 141729 153242 156966 183127 229863 283458 366254 444737 459726 536347 549381 889474 1072694 1098762 1302557 1334211 1609041 2605114 2668422 3113159 3218082 3907671 5049073 6226318 7815342 9117899 9339477 10098146 10385917 15147219 18235798 18678954 20771834 27353697 30294438 31157751 35343511 54707394 62315502 70687022 72701419 85834241 106030533 145402838 171668482 176560589 212061066 218104257 257502723 353121178 436208514 515005446 529681767 600839687 1059363534 1201679374 1235924123 1802519061 2004481981 2471848246 3605038122 3707772369 4008963962 6013445943 7415544738 12026891886 14031373867 28062747734 34076193677 42094121601 68152387354 84188243202 102228581031 204457162062 238533355739 477066711478 715600067217 1431200134434