Search a number
-
+
400036400016 = 243112851265747
BaseRepresentation
bin1011101001001000000…
…01110000101110010000
31102020120020001200102120
411310210001300232100
523023233304300031
6503435120214240
740621163203341
oct5644401605620
91366506050376
10400036400016
11144722134260
126564346a380
132b953044406
141550cd5a0c8
15a614bd8a96
hex5d24070b90

400036400016 has 80 divisors (see below), whose sum is σ = 1127774984448. Its totient is φ = 121180176000.

The previous prime is 400036399993. The next prime is 400036400063. The reversal of 400036400016 is 610004630004.

It is a super-2 number, since 2×4000364000162 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 1372455 + ... + 1638201.

Almost surely, 2400036400016 is an apocalyptic number.

It is an amenable number.

400036400016 is an abundant number, since it is smaller than the sum of its proper divisors (727738584432).

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

400036400016 is a wasteful number, since it uses less digits than its factorization.

400036400016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 268620 (or 268614 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The spelling of 400036400016 in words is "four hundred billion, thirty-six million, four hundred thousand, sixteen".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 132 176 264 528 2851 5702 8553 11404 17106 22808 31361 34212 45616 62722 68424 94083 125444 136848 188166 250888 265747 376332 501776 531494 752664 797241 1062988 1505328 1594482 2125976 2923217 3188964 4251952 5846434 6377928 8769651 11692868 12755856 17539302 23385736 35078604 46771472 70157208 140314416 757644697 1515289394 2272934091 3030578788 4545868182 6061157576 8334091667 9091736364 12122315152 16668183334 18183472728 25002275001 33336366668 36366945456 50004550002 66672733336 100009100004 133345466672 200018200008 400036400016