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400044414003030 = 23353061788361403
BaseRepresentation
bin101101011110101101001100…
…1001100001110011101010110
31221110102212120001001020111000
41122331122121030032131112
5404413311424441044110
63534453511113124130
7150156153336502536
oct13275323114163526
91843385501036430
10400044414003030
11106514979628525
1238a4b3549b9646
131422b045c26c14
1470b03781374c6
15313b1173b81c0
hex16bd69930e756

400044414003030 has 128 divisors (see below), whose sum is σ = 1067286365591040. Its totient is φ = 106628394660480.

The previous prime is 400044414003029. The next prime is 400044414003049. The reversal of 400044414003030 is 30300414440004.

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

It is a junction number, because it is equal to n+sod(n) for n = 400044414002985 and 400044414003003.

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, 6515032309 + ... + 6515093711.

It is an arithmetic number, because the mean of its divisors is an integer number (8338174731180).

Almost surely, 2400044414003030 is an apocalyptic number.

400044414003030 is an abundant number, since it is smaller than the sum of its proper divisors (667241951588010).

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

400044414003030 is a wasteful number, since it uses less digits than its factorization.

400044414003030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72363 (or 72357 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 400044414003030 its reverse (30300414440004), we get a palindrome (430344828443034).

The spelling of 400044414003030 in words is "four hundred trillion, forty-four billion, four hundred fourteen million, three thousand, thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 135 270 3061 6122 7883 9183 15305 15766 18366 23649 27549 30610 39415 45915 47298 55098 61403 70947 78830 82647 91830 118245 122806 137745 141894 165294 184209 212841 236490 275490 307015 354735 368418 413235 425682 552627 614030 709470 826470 921045 1064205 1105254 1657881 1842090 2128410 2763135 3315762 5526270 8289405 16578810 24129863 48259726 72389589 120649315 144779178 187954583 217168767 241298630 361947945 375909166 434337534 484039849 563863749 651506301 723895890 939772915 968079698 1085843835 1127727498 1303012602 1452119547 1691591247 1879545830 2171687670 2420199245 2819318745 2904239094 3257531505 3383182494 4356358641 4840398490 5074773741 5638637490 6515063010 7260597735 8457956235 8712717282 10149547482 13069075923 14521195470 16915912470 21781793205 25373868705 26138151846 43563586410 50747737410 65345379615 130690759230 1481645977789 2963291955578 4444937933367 7408229888945 8889875866734 13334813800101 14816459777890 22224689666835 26669627600202 40004441400303 44449379333670 66674069000505 80008882800606 133348138001010 200022207001515 400044414003030