Search a number
-
+
1434100034240 = 26510164768581
BaseRepresentation
bin10100110111100111000…
…001011110101011000000
312002002122220020000110222
4110313213001132223000
5141444014102043430
63014452204442212
7205416223106336
oct24674701365300
95062586200428
101434100034240
1150322009a775
121b1b31249368
13a5309546923
144d5a73a7b56
1527486bbd9e5
hex14de705eac0

1434100034240 has 112 divisors (see below), whose sum is σ = 3454142854464. Its totient is φ = 567074304000.

The previous prime is 1434100034233. The next prime is 1434100034267. The reversal of 1434100034240 is 424300014341.

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, 20876750 + ... + 20945330.

Almost surely, 21434100034240 is an apocalyptic number.

1434100034240 is a gapful number since it is divisible by the number (10) 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 1434100034240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1727071427232).

1434100034240 is an abundant number, since it is smaller than the sum of its proper divisors (2020042820224).

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

1434100034240 is a wasteful number, since it uses less digits than its factorization.

1434100034240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69346 (or 69336 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 26.

Adding to 1434100034240 its reverse (424300014341), we get a palindrome (1858400048581).

The spelling of 1434100034240 in words is "one trillion, four hundred thirty-four billion, one hundred million, thirty-four thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 101 160 202 320 404 505 647 808 1010 1294 1616 2020 2588 3232 3235 4040 5176 6464 6470 8080 10352 12940 16160 20704 25880 32320 41408 51760 65347 68581 103520 130694 137162 207040 261388 274324 326735 342905 522776 548648 653470 685810 1045552 1097296 1306940 1371620 2091104 2194592 2613880 2743240 4182208 4389184 5227760 5486480 6926681 10455520 10972960 13853362 20911040 21945920 27706724 34633405 44371907 55413448 69266810 88743814 110826896 138533620 177487628 221653792 221859535 277067240 354975256 443307584 443719070 554134480 709950512 887438140 1108268960 1419901024 1774876280 2216537920 2839802048 3549752560 4481562607 7099505120 8963125214 14199010240 17926250428 22407813035 35852500856 44815626070 71705001712 89631252140 143410003424 179262504280 286820006848 358525008560 717050017120 1434100034240