Search a number
-
+
40115442768552 = 23331186315655369
BaseRepresentation
bin10010001111100000110101…
…01101110101101010101000
312021000222222011212021112000
421013300122231311222220
520224222411322043202
6221152440251251000
711310150032302044
oct1107603255655250
9167028864767460
1040115442768552
11118669556a9808
1245ba784749a60
13194cb4058a578
149c9852499024
15498764a7b91c
hex247c1ab75aa8

40115442768552 has 64 divisors (see below), whose sum is σ = 111441185808000. Its totient is φ = 13370686215552.

The previous prime is 40115442768529. The next prime is 40115442768553. The reversal of 40115442768552 is 25586724451104.

40115442768552 is a `hidden beast` number, since 4 + 0 + 1 + 1 + 5 + 4 + 4 + 27 + 68 + 552 = 666.

40115442768552 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (40115442768553) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5265277 + ... + 10390092.

It is an arithmetic number, because the mean of its divisors is an integer number (1741268528250).

Almost surely, 240115442768552 is an apocalyptic number.

It is an amenable number.

40115442768552 is an abundant number, since it is smaller than the sum of its proper divisors (71325743039448).

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

40115442768552 is a wasteful number, since it uses less digits than its factorization.

40115442768552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15667247 (or 15667237 counting only the distinct ones).

The product of its (nonzero) digits is 10752000, while the sum is 54.

The spelling of 40115442768552 in words is "forty trillion, one hundred fifteen billion, four hundred forty-two million, seven hundred sixty-eight thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 11863 23726 35589 47452 71178 94904 106767 142356 213534 284712 320301 427068 640602 854136 1281204 2562408 15655369 31310738 46966107 62621476 93932214 125242952 140898321 187864428 281796642 375728856 422694963 563593284 845389926 1127186568 1690779852 3381559704 185719642447 371439284894 557158927341 742878569788 1114317854682 1485757139576 1671476782023 2228635709364 3342953564046 4457271418728 5014430346069 6685907128092 10028860692138 13371814256184 20057721384276 40115442768552