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3012152223040 = 26561457337661
BaseRepresentation
bin101011110101010010010…
…000110110010101000000
3101122221220001211011112221
4223311102100312111000
5343322341432114130
610223432535500424
7430422640306552
oct53652220662500
911587801734487
103012152223040
11a614a0448814
12407937827714
1318b07739141c
14a5b08c1b4d2
155354653287a
hex2bd52436540

3012152223040 has 112 divisors (see below), whose sum is σ = 7306246615824. Its totient is φ = 1182512332800.

The previous prime is 3012152223029. The next prime is 3012152223061. The reversal of 3012152223040 is 403222512103.

It can be written as a sum of positive squares in 8 ways, for example, as 127209208896 + 2884943014144 = 356664^2 + 1698512^2 .

It is a super-2 number, since 2×30121522230402 (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3012152222996 and 3012152223014.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8751810 + ... + 9089470.

Almost surely, 23012152223040 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3012152223040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3653123307912).

3012152223040 is an abundant number, since it is smaller than the sum of its proper divisors (4294094392784).

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

3012152223040 is a wasteful number, since it uses less digits than its factorization.

3012152223040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 338196 (or 338186 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 25.

Adding to 3012152223040 its reverse (403222512103), we get a palindrome (3415374735143).

The spelling of 3012152223040 in words is "three trillion, twelve billion, one hundred fifty-two million, two hundred twenty-three thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 61 64 80 122 160 244 305 320 457 488 610 914 976 1220 1828 1952 2285 2440 3656 3904 4570 4880 7312 9140 9760 14624 18280 19520 27877 29248 36560 55754 73120 111508 139385 146240 223016 278770 337661 446032 557540 675322 892064 1115080 1350644 1688305 1784128 2230160 2701288 3376610 4460320 5402576 6753220 8920640 10805152 13506440 20597321 21610304 27012880 41194642 54025760 82389284 102986605 108051520 154311077 164778568 205973210 308622154 329557136 411946420 617244308 659114272 771555385 823892840 1234488616 1318228544 1543110770 1647785680 2468977232 3086221540 3295571360 4937954464 6172443080 6591142720 9412975697 9875908928 12344886160 18825951394 24689772320 37651902788 47064878485 49379544640 75303805576 94129756970 150607611152 188259513940 301215222304 376519027880 602430444608 753038055760 1506076111520 3012152223040