Search a number
-
+
40366740372 = 223724315710169
BaseRepresentation
bin100101100110000010…
…111001001110010100
310212012020010212201020
4211212002321032110
51130132341142442
630313315201140
72626216426500
oct454602711624
9125166125636
1040366740372
1116134a77562
1279a68a61b0
133a6404a2ba
141d4d195300
1510b3cca9ec
hex9660b9394

40366740372 has 144 divisors (see below), whose sum is σ = 112840136640. Its totient is φ = 11192283648.

The previous prime is 40366740361. The next prime is 40366740373. The reversal of 40366740372 is 27304766304.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40366740373) 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, 3964504 + ... + 3974672.

It is an arithmetic number, because the mean of its divisors is an integer number (783612060).

Almost surely, 240366740372 is an apocalyptic number.

40366740372 is a gapful number since it is divisible by the number (42) 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 40366740372, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56420068320).

40366740372 is an abundant number, since it is smaller than the sum of its proper divisors (72473396268).

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

40366740372 is a wasteful number, since it uses less digits than its factorization.

40366740372 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10390 (or 10381 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 42.

The spelling of 40366740372 in words is "forty billion, three hundred sixty-six million, seven hundred forty thousand, three hundred seventy-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 43 49 84 86 98 129 147 157 172 196 258 294 301 314 471 516 588 602 628 903 942 1099 1204 1806 1884 2107 2198 3297 3612 4214 4396 6321 6594 6751 7693 8428 10169 12642 13188 13502 15386 20253 20338 23079 25284 27004 30507 30772 40506 40676 46158 47257 61014 71183 81012 92316 94514 122028 141771 142366 189028 213549 283542 284732 330799 427098 437267 498281 567084 661598 854196 874534 992397 996562 1311801 1323196 1494843 1596533 1749068 1984794 1993124 2623602 2989686 3060869 3193066 3969588 4789599 5247204 5979372 6121738 6386132 9182607 9579198 11175731 12243476 18365214 19158396 21426083 22351462 33527193 36730428 42852166 44702924 64278249 67054386 68650919 78230117 85704332 128556498 134108772 137301838 156460234 205952757 234690351 257112996 274603676 312920468 411905514 469380702 480556433 823811028 938761404 961112866 1441669299 1922225732 2883338598 3363895031 5766677196 6727790062 10091685093 13455580124 20183370186 40366740372