Search a number
-
+
40496532480 = 210325878831
BaseRepresentation
bin100101101101110010…
…000000110000000000
310212112021101000000100
4211231302000300000
51130414103014410
630334233122400
72632353563235
oct455562006000
9125467330010
1040496532480
11161a1267268
127a22259400
133a84bc2271
141d624dd78c
1510c03b78c0
hex96dc80c00

40496532480 has 132 divisors (see below), whose sum is σ = 140319590112. Its totient is φ = 10799063040.

The previous prime is 40496532451. The next prime is 40496532511. The reversal of 40496532480 is 8423569404.

40496532480 is a `hidden beast` number, since 40 + 49 + 65 + 32 + 480 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 393336 + ... + 485495.

Almost surely, 240496532480 is an apocalyptic number.

40496532480 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

40496532480 is an abundant number, since it is smaller than the sum of its proper divisors (99823057632).

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

40496532480 is a wasteful number, since it uses less digits than its factorization.

40496532480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 878862 (or 878841 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 40496532480 in words is "forty billion, four hundred ninety-six million, five hundred thirty-two thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 128 144 160 180 192 240 256 288 320 360 384 480 512 576 640 720 768 960 1024 1152 1280 1440 1536 1920 2304 2560 2880 3072 3840 4608 5120 5760 7680 9216 11520 15360 23040 46080 878831 1757662 2636493 3515324 4394155 5272986 7030648 7909479 8788310 10545972 13182465 14061296 15818958 17576620 21091944 26364930 28122592 31637916 35153240 39547395 42183888 52729860 56245184 63275832 70306480 79094790 84367776 105459720 112490368 126551664 140612960 158189580 168735552 210919440 224980736 253103328 281225920 316379160 337471104 421838880 449961472 506206656 562451840 632758320 674942208 843677760 899922944 1012413312 1124903680 1265516640 1349884416 1687355520 2024826624 2249807360 2531033280 2699768832 3374711040 4049653248 4499614720 5062066560 6749422080 8099306496 10124133120 13498844160 20248266240 40496532480