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4400013030 = 2357139307491
BaseRepresentation
bin1000001100100001…
…01101111011100110
3102100122101211011120
410012100231323212
533002400404110
62004335314410
7214015331220
oct40620557346
912318354146
104400013030
111958768a06
12a2967ba06
13551768c0a
142da51d410
151ab43c870
hex10642dee6

4400013030 has 128 divisors (see below), whose sum is σ = 12219863040. Its totient is φ = 993202560.

The previous prime is 4400013029. The next prime is 4400013047. The reversal of 4400013030 is 303100044.

It is a super-3 number, since 3×44000130303 (a number of 30 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (15).

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, 8961085 + ... + 8961575.

It is an arithmetic number, because the mean of its divisors is an integer number (95467680).

Almost surely, 24400013030 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4400013030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6109931520).

4400013030 is an abundant number, since it is smaller than the sum of its proper divisors (7819850010).

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

4400013030 is a wasteful number, since it uses less digits than its factorization.

4400013030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 954.

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 4400013030 is about 66332.5940243558. The cubic root of 4400013030 is about 1638.6441587385.

Adding to 4400013030 its reverse (303100044), we get a palindrome (4703113074).

The spelling of 4400013030 in words is "four billion, four hundred million, thirteen thousand, thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 70 105 139 210 278 307 417 491 614 695 834 921 973 982 1390 1473 1535 1842 1946 2085 2149 2455 2919 2946 3070 3437 4170 4298 4605 4865 4910 5838 6447 6874 7365 9210 9730 10311 10745 12894 14595 14730 17185 20622 21490 29190 32235 34370 42673 51555 64470 68249 85346 103110 128019 136498 150737 204747 213365 256038 298711 301474 341245 409494 426730 452211 477743 597422 640095 682490 753685 896133 904422 955486 1023735 1055159 1280190 1433229 1493555 1507370 1792266 2047470 2110318 2261055 2388715 2866458 2987110 3165477 4480665 4522110 4777430 5275795 6330954 7166145 8961330 10551590 14332290 15827385 20952443 31654770 41904886 62857329 104762215 125714658 146667101 209524430 293334202 314286645 440001303 628573290 733335505 880002606 1466671010 2200006515 4400013030