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40212244221204 = 223112918287574439
BaseRepresentation
bin10010010010010101001001…
…00010000100110100010100
312021101020211102212120200010
421021022210202010310110
520232314134010034304
6221305125554320220
711320144620130446
oct1111124442046424
9167336742776603
1040212244221204
11118a3a0a593950
12461549b289070
131958cc9519733
149d03d67cc496
1549b02d0a3789
hex2492a4884d14

40212244221204 has 96 divisors (see below), whose sum is σ = 105894015897600. Its totient is φ = 11764674060160.

The previous prime is 40212244221181. The next prime is 40212244221209.

40212244221204 is nontrivially palindromic in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40212244221209) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 69715417 + ... + 70289855.

It is an arithmetic number, because the mean of its divisors is an integer number (1103062665600).

Almost surely, 240212244221204 is an apocalyptic number.

40212244221204 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

40212244221204 is an abundant number, since it is smaller than the sum of its proper divisors (65681771676396).

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

40212244221204 is a wasteful number, since it uses less digits than its factorization.

40212244221204 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 592773 (or 592771 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 30.

It can be divided in two parts, 4021224 and 4221204, that added together give a palindrome (8242428).

The spelling of 40212244221204 in words is "forty trillion, two hundred twelve billion, two hundred forty-four million, two hundred twenty-one thousand, two hundred four".

Divisors: 1 2 3 4 6 11 12 22 29 33 44 58 66 87 116 132 174 319 348 638 957 1276 1914 3828 18287 36574 54861 73148 109722 201157 219444 402314 530323 574439 603471 804628 1060646 1148878 1206942 1590969 1723317 2121292 2297756 2413884 3181938 3446634 5833553 6318829 6363876 6893268 11667106 12637658 16658731 17500659 18956487 23334212 25275316 33317462 35001318 37912974 49976193 66634924 70002636 75825948 99952386 183246041 199904772 366492082 549738123 732984164 1099476246 2198952492 10504765993 21009531986 31514297979 42019063972 63028595958 115552425923 126057191916 231104851846 304638213797 346657277769 462209703692 609276427594 693314555538 913914641391 1218552855188 1386629111076 1827829282782 3351020351767 3655658565564 6702040703534 10053061055301 13404081407068 20106122110602 40212244221204