Search a number
-
+
40193476544 = 2613478911549
BaseRepresentation
bin100101011011101101…
…111100011111000000
310211202011010011102102
4211123231330133000
51124304012222134
630244205405532
72622013625234
oct453355743700
9124664104372
1040193476544
1116056195911
1279588698a8
133a37194520
141d341725c4
1510a39a337e
hex95bb7c7c0

40193476544 has 112 divisors (see below), whose sum is σ = 88715088000. Its totient is φ = 17950580736.

The previous prime is 40193476487. The next prime is 40193476553. The reversal of 40193476544 is 44567439104.

It is a Harshad number since it is a multiple of its sum of digits (47).

It is a congruent number.

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, 3474482 + ... + 3486030.

It is an arithmetic number, because the mean of its divisors is an integer number (792099000).

Almost surely, 240193476544 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40193476544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44357544000).

40193476544 is an abundant number, since it is smaller than the sum of its proper divisors (48521611456).

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

40193476544 is a wasteful number, since it uses less digits than its factorization.

40193476544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11710 (or 11700 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 47.

The spelling of 40193476544 in words is "forty billion, one hundred ninety-three million, four hundred seventy-six thousand, five hundred forty-four".

Divisors: 1 2 4 8 13 16 26 32 47 52 64 89 94 104 178 188 208 356 376 416 611 712 752 832 1157 1222 1424 1504 2314 2444 2848 3008 4183 4628 4888 5696 8366 9256 9776 11549 16732 18512 19552 23098 33464 37024 39104 46196 54379 66928 74048 92392 108758 133856 150137 184784 217516 267712 300274 369568 435032 542803 600548 739136 870064 1027861 1085606 1201096 1740128 2055722 2171212 2402192 3480256 4111444 4342424 4804384 7056439 8222888 8684848 9608768 13362193 14112878 16445776 17369696 26724386 28225756 32891552 34739392 48309467 53448772 56451512 65783104 96618934 106897544 112903024 193237868 213795088 225806048 386475736 427590176 451612096 628023071 772951472 855180352 1256046142 1545902944 2512092284 3091805888 5024184568 10048369136 20096738272 40193476544