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434214013310 = 25711661853123
BaseRepresentation
bin1100101000110010010…
…11000000100101111110
31112111210010021022212222
412110121023000211332
524103232241411220
6531250345125342
743241141133650
oct6243113004576
91474703238788
10434214013310
11158170543a60
12701a1489852
1331c3ba7762c
14170321506d0
15b46546de25
hex65192c097e

434214013310 has 64 divisors (see below), whose sum is σ = 975919256064. Its totient is φ = 135134524800.

The previous prime is 434214013291. The next prime is 434214013351. The reversal of 434214013310 is 13310412434.

It is a happy number.

It is a super-2 number, since 2×4342140133102 (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 434214013310.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 82409 + ... + 935531.

It is an arithmetic number, because the mean of its divisors is an integer number (15248738376).

Almost surely, 2434214013310 is an apocalyptic number.

434214013310 is an abundant number, since it is smaller than the sum of its proper divisors (541705242754).

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

434214013310 is a wasteful number, since it uses less digits than its factorization.

434214013310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 853809.

The product of its (nonzero) digits is 3456, while the sum is 26.

Adding to 434214013310 its reverse (13310412434), we get a palindrome (447524425744).

The spelling of 434214013310 in words is "four hundred thirty-four billion, two hundred fourteen million, thirteen thousand, three hundred ten".

Divisors: 1 2 5 7 10 11 14 22 35 55 70 77 110 154 385 661 770 1322 3305 4627 6610 7271 9254 14542 23135 36355 46270 50897 72710 101794 254485 508970 853123 1706246 4265615 5971861 8531230 9384353 11943722 18768706 29859305 46921765 59718610 65690471 93843530 131380942 328452355 563914303 656904710 1127828606 2819571515 3947400121 5639143030 6203057333 7894800242 12406114666 19737000605 31015286665 39474001210 43421401331 62030573330 86842802662 217107006655 434214013310