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45434021310 = 23352924124077
BaseRepresentation
bin101010010100000101…
…000010010110111110
311100021101010102101000
4222110011002112332
51221022102140220
632512212431130
73165616544346
oct522405022676
9140241112330
1045434021310
11182a5358747
12897b9184a6
134390b04ba2
1422b016bd26
1512adac2390
hexa941425be

45434021310 has 128 divisors (see below), whose sum is σ = 125860521600. Its totient is φ = 11648931840.

The previous prime is 45434021257. The next prime is 45434021329. The reversal of 45434021310 is 1312043454.

It is a happy number.

45434021310 is a `hidden beast` number, since 4 + 5 + 4 + 340 + 2 + 1 + 310 = 666.

It is a super-2 number, since 2×454340213102 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1874992 + ... + 1899068.

It is an arithmetic number, because the mean of its divisors is an integer number (983285325).

Almost surely, 245434021310 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45434021310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62930260800).

45434021310 is an abundant number, since it is smaller than the sum of its proper divisors (80426500290).

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

45434021310 is a wasteful number, since it uses less digits than its factorization.

45434021310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24363 (or 24357 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 45434021310 its reverse (1312043454), we get a palindrome (46746064764).

The spelling of 45434021310 in words is "forty-five billion, four hundred thirty-four million, twenty-one thousand, three hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 27 29 30 45 54 58 87 90 135 145 174 241 261 270 290 435 482 522 723 783 870 1205 1305 1446 1566 2169 2410 2610 3615 3915 4338 6507 6989 7230 7830 10845 13014 13978 20967 21690 24077 32535 34945 41934 48154 62901 65070 69890 72231 104835 120385 125802 144462 188703 209670 216693 240770 314505 361155 377406 433386 629010 650079 698233 722310 943515 1083465 1300158 1396466 1887030 2094699 2166930 3250395 3491165 4189398 5802557 6284097 6500790 6982330 10473495 11605114 12568194 17407671 18852291 20946990 29012785 31420485 34815342 37704582 52223013 58025570 62840970 87038355 94261455 104446026 156669039 168274153 174076710 188522910 261115065 313338078 336548306 504822459 522230130 783345195 841370765 1009644918 1514467377 1566690390 1682741530 2524112295 3028934754 4543402131 5048224590 7572336885 9086804262 15144673770 22717010655 45434021310