Search a number
-
+
234434101434432 = 26310331613732799
BaseRepresentation
bin110101010011011101110001…
…010101101101100001000000
31010202001200101121110020200120
4311103131301111231201000
5221211432014431400212
62150333312303020240
7100244206402231614
oct6523356125554100
91122050347406616
10234434101434432
1168774a42636829
1222362a9629a680
13a0a706bb45053
1441c6957517344
151c1828045588c
hexd5377156d840

234434101434432 has 112 divisors (see below), whose sum is σ = 621259785062400. Its totient is φ = 78020545794048.

The previous prime is 234434101434413. The next prime is 234434101434479.

234434101434432 is nontrivially palindromic in base 10.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 319549569 + ... + 320282367.

Almost surely, 2234434101434432 is an apocalyptic number.

It is an amenable number.

234434101434432 is an abundant number, since it is smaller than the sum of its proper divisors (386825683627968).

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

234434101434432 is a wasteful number, since it uses less digits than its factorization.

234434101434432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 735460 (or 735450 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 42.

It can be divided in two parts, 23443410 and 1434432, that added together give a palindrome (24877842).

The spelling of 234434101434432 in words is "two hundred thirty-four trillion, four hundred thirty-four billion, one hundred one million, four hundred thirty-four thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 1033 1613 2066 3099 3226 4132 4839 6198 6452 8264 9678 12396 12904 16528 19356 24792 25808 33056 38712 49584 51616 66112 77424 99168 103232 154848 198336 309696 732799 1465598 1666229 2198397 2931196 3332458 4396794 4998687 5862392 6664916 8793588 9997374 11724784 13329832 17587176 19994748 23449568 26659664 35174352 39989496 46899136 53319328 70348704 79978992 106638656 140697408 159957984 319915968 756981367 1182004787 1513962734 2270944101 2364009574 3027925468 3546014361 4541888202 4728019148 6055850936 7092028722 9083776404 9456038296 12111701872 14184057444 18167552808 18912076592 24223403744 28368114888 36335105616 37824153184 48446807488 56736229776 72670211232 75648306368 113472459552 145340422464 226944919104 1221010944971 2442021889942 3663032834913 4884043779884 7326065669826 9768087559768 14652131339652 19536175119536 29304262679304 39072350239072 58608525358608 78144700478144 117217050717216 234434101434432