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201423434042432 = 2675329092916167
BaseRepresentation
bin101101110011000110001100…
…001111000100110001000000
3222102011220002102220112220202
4231303012030033010301000
5202400110143103324212
61552220352001024332
760266235316122140
oct5563061417046100
9872156072815822
10201423434042432
11591a8220467558
121a7112646250a8
1388511c0b55444
1437a4d36624920
1518447446990c2
hexb7318c3c4c40

201423434042432 has 112 divisors (see below), whose sum is σ = 465578585752320. Its totient is φ = 84666423908352.

The previous prime is 201423434042419. The next prime is 201423434042449. The reversal of 201423434042432 is 234240434324102.

It is a tau number, because it is divible by the number of its divisors (112).

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, 67613213 + ... + 70529379.

Almost surely, 2201423434042432 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 201423434042432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232789292876160).

201423434042432 is an abundant number, since it is smaller than the sum of its proper divisors (264155151709888).

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

201423434042432 is a wasteful number, since it uses less digits than its factorization.

201423434042432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2919148 (or 2919138 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 38.

Adding to 201423434042432 its reverse (234240434324102), we get a palindrome (435663868366534).

The spelling of 201423434042432 in words is "two hundred one trillion, four hundred twenty-three billion, four hundred thirty-four million, forty-two thousand, four hundred thirty-two".

Divisors: 1 2 4 7 8 14 16 28 32 53 56 64 106 112 212 224 371 424 448 742 848 1484 1696 2909 2968 3392 5818 5936 11636 11872 20363 23272 23744 40726 46544 81452 93088 154177 162904 186176 308354 325808 616708 651616 1079239 1233416 1303232 2158478 2466832 2916167 4316956 4933664 5832334 8633912 9867328 11664668 17267824 20413169 23329336 34535648 40826338 46658672 69071296 81652676 93317344 154556851 163305352 186634688 309113702 326610704 618227404 653221408 1081897957 1236454808 1306442816 2163795914 2472909616 4327591828 4945819232 8483129803 8655183656 9891638464 16966259606 17310367312 33932519212 34620734624 59381908621 67865038424 69241469248 118763817242 135730076848 237527634484 271460153696 449605879559 475055268968 542920307392 899211759118 950110537936 1798423518236 1900221075872 3147241156913 3596847036472 3800442151744 6294482313826 7193694072944 12588964627652 14387388145888 25177929255304 28774776291776 50355858510608 100711717021216 201423434042432