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34200622214440 = 23511238334639419
BaseRepresentation
bin1111100011010111100111…
…11100000010110100101000
311111002112210011110220122221
413301223303330002310220
513440320333241330230
6200423314323323424
710126625205156523
oct761536374026450
9144075704426587
1034200622214440
11a9964476a4830
123a04387220574
13161114942ca76
14863467297bba
153e4983b6327a
hex1f1af3f02d28

34200622214440 has 128 divisors (see below), whose sum is σ = 84015379353600. Its totient is φ = 12426461809920.

The previous prime is 34200622214417. The next prime is 34200622214441. The reversal of 34200622214440 is 4441222600243.

It is a junction number, because it is equal to n+sod(n) for n = 34200622214396 and 34200622214405.

It is not an unprimeable number, because it can be changed into a prime (34200622214441) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3631020051 + ... + 3631029469.

It is an arithmetic number, because the mean of its divisors is an integer number (656370151200).

Almost surely, 234200622214440 is an apocalyptic number.

It is an amenable number.

34200622214440 is an abundant number, since it is smaller than the sum of its proper divisors (49814757139160).

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

34200622214440 is a wasteful number, since it uses less digits than its factorization.

34200622214440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15287 (or 15283 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 34.

Adding to 34200622214440 its reverse (4441222600243), we get a palindrome (38641844814683).

The spelling of 34200622214440 in words is "thirty-four trillion, two hundred billion, six hundred twenty-two million, two hundred fourteen thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 220 440 2383 3463 4766 6926 9419 9532 11915 13852 17315 18838 19064 23830 26213 27704 34630 37676 38093 47095 47660 52426 69260 75352 76186 94190 95320 103609 104852 131065 138520 152372 188380 190465 207218 209704 262130 304744 376760 380930 414436 518045 524260 761860 828872 1036090 1048520 1523720 2072180 4144360 8252329 16504658 22445477 32617997 33009316 41261645 44890954 65235994 66018632 82523290 89781908 90775619 112227385 130471988 163089985 165046580 179563816 181551238 224454770 246900247 260943976 326179970 330093160 358797967 363102476 448909540 453878095 493800494 652359940 717595934 726204952 897819080 907756190 987600988 1234501235 1304719880 1435191868 1793989835 1815512380 1975201976 2469002470 2870383736 3587979670 3631024760 4938004940 7175959340 9876009880 14351918680 77728686851 155457373702 310914747404 388643434255 621829494808 777286868510 855015555361 1554573737020 1710031110722 3109147474040 3420062221444 4275077776805 6840124442888 8550155553610 17100311107220 34200622214440