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40634043604 = 227211235315461
BaseRepresentation
bin100101110101111110…
…100100110011010100
310212212212010021210221
4211311332210303110
51131204303343404
630400024324124
72635643446300
oct456576446324
9125785107727
1040634043604
1116261949420
127a60313644
133aa753a7ab
141d76896d00
1510cc4cb954
hex975fa4cd4

40634043604 has 144 divisors (see below), whose sum is σ = 95945544576. Its totient is φ = 14856441600.

The previous prime is 40634043599. The next prime is 40634043607.

40634043604 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×406340436042 (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 40634043604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40634043607) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2620434 + ... + 2635894.

It is an arithmetic number, because the mean of its divisors is an integer number (666288504).

Almost surely, 240634043604 is an apocalyptic number.

40634043604 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40634043604, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47972772288).

40634043604 is an abundant number, since it is smaller than the sum of its proper divisors (55311500972).

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

40634043604 is a wasteful number, since it uses less digits than its factorization.

40634043604 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15566 (or 15557 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 34.

It can be divided in two parts, 406340 and 43604, that added together give a palindrome (449944).

The spelling of 40634043604 in words is "forty billion, six hundred thirty-four million, forty-three thousand, six hundred four".

Divisors: 1 2 4 7 11 14 22 23 28 44 46 49 53 77 92 98 106 154 161 196 212 253 308 322 371 506 539 583 644 742 1012 1078 1127 1166 1219 1484 1771 2156 2254 2332 2438 2597 3542 4081 4508 4876 5194 7084 8162 8533 10388 12397 13409 15461 16324 17066 24794 26818 28567 30922 34132 49588 53636 57134 59731 61844 93863 108227 114268 119462 170071 187726 216454 238924 340142 355603 375452 432908 657041 680284 711206 757589 819433 1190497 1314082 1422412 1515178 1638866 2380994 2489221 2628164 3030356 3277732 3911633 4761988 4978442 5736031 7823266 8333479 9013763 9956884 11472062 15646532 16666958 17424547 18027526 18846959 22944124 27381431 33333916 34849094 36055052 37693918 40152217 54762862 63096341 69698188 75387836 80304434 109525724 126192682 131928713 160608868 191670017 207316549 252385364 263857426 383340034 414633098 441674387 527714852 766680068 829266196 883348774 923500991 1451215843 1766697548 1847001982 2902431686 3694003964 5804863372 10158510901 20317021802 40634043604