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40155302144 = 281311916269
BaseRepresentation
bin100101011001011100…
…010100100100000000
310211122111021200222202
4211121130110210000
51124214224132034
630240323252332
72621041302506
oct453134244400
9124574250882
1040155302144
1116036691921
127947b1a0a8
133a2c2b9919
141d2d076676
1510a046247e
hex959714900

40155302144 has 72 divisors (see below), whose sum is σ = 81201415680. Its totient is φ = 19816908800.

The previous prime is 40155302113. The next prime is 40155302167. The reversal of 40155302144 is 44120355104.

It is a super-2 number, since 2×401553021442 (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6402242 + ... + 6408510.

It is an arithmetic number, because the mean of its divisors is an integer number (1127797440).

Almost surely, 240155302144 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 40155302144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40600707840).

40155302144 is an abundant number, since it is smaller than the sum of its proper divisors (41046113536).

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

40155302144 is a wasteful number, since it uses less digits than its factorization.

40155302144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6607 (or 6593 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 29.

Adding to 40155302144 its reverse (44120355104), we get a palindrome (84275657248).

The spelling of 40155302144 in words is "forty billion, one hundred fifty-five million, three hundred two thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 32 64 128 131 191 256 262 382 524 764 1048 1528 2096 3056 4192 6112 6269 8384 12224 12538 16768 24448 25021 25076 33536 48896 50042 50152 100084 100304 200168 200608 400336 401216 800672 802432 821239 1197379 1601344 1604864 1642478 2394758 3202688 3284956 4789516 6405376 6569912 9579032 13139824 19158064 26279648 38316128 52559296 76632256 105118592 153264512 156856649 210237184 306529024 313713298 627426596 1254853192 2509706384 5019412768 10038825536 20077651072 40155302144