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40022101220004 = 22324197727753577
BaseRepresentation
bin10010001100110010111110…
…01000000101101010100100
312020201002001001021022112100
421012121133020011222210
520221210230403020004
6221041522142052100
711300333656235331
oct1106313710055244
9166632031238470
1040022101220004
1111830306845852
1245a467487a030
1319440b6399637
149c5119887988
15496100191739
hex24665f205aa4

40022101220004 has 72 divisors (see below), whose sum is σ = 103740543263448. Its totient is φ = 13001995284480.

The previous prime is 40022101219973. The next prime is 40022101220033. The reversal of 40022101220004 is 40002210122004.

It can be written as a sum of positive squares in 4 ways, for example, as 12835366691904 + 27186734528100 = 3582648^2 + 5214090^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12434737 + ... + 15318840.

It is an arithmetic number, because the mean of its divisors is an integer number (1440840878659).

Almost surely, 240022101220004 is an apocalyptic number.

It is an amenable number.

40022101220004 is an abundant number, since it is smaller than the sum of its proper divisors (63718442043444).

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

40022101220004 is a wasteful number, since it uses less digits than its factorization.

40022101220004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27754605 (or 27754600 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 40022101220004 its reverse (40002210122004), we get a palindrome (80024311342008).

It can be divided in two parts, 4002210122000 and 4, that added together give a palindrome (4002210122004).

The spelling of 40022101220004 in words is "forty trillion, twenty-two billion, one hundred one million, two hundred twenty thousand, four".

Divisors: 1 2 3 4 6 9 12 18 36 41 82 123 164 246 369 492 738 977 1476 1954 2931 3908 5862 8793 11724 17586 35172 40057 80114 120171 160228 240342 360513 480684 721026 1442052 27753577 55507154 83260731 111014308 166521462 249782193 333042924 499564386 999128772 1137896657 2275793314 3413689971 4551586628 6827379942 10241069913 13654759884 20482139826 27115244729 40964279652 54230489458 81345734187 108460978916 162691468374 244037202561 325382936748 488074405122 976148810244 1111725033889 2223450067778 3335175101667 4446900135556 6670350203334 10005525305001 13340700406668 20011050610002 40022101220004