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40310204144 = 2474323335923
BaseRepresentation
bin100101100010101011…
…001110011011110000
310212001021202112120212
4211202223032123300
51130023403013034
630303535323252
72624632040030
oct454253163360
9125037675525
1040310204144
1116106072001
12798b980528
133a55413b02
141d458798c0
1510add5e2ce
hex962ace6f0

40310204144 has 80 divisors (see below), whose sum is σ = 91728628992. Its totient is φ = 16801150464.

The previous prime is 40310204119. The next prime is 40310204147. The reversal of 40310204144 is 44140201304.

It is a happy number.

40310204144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40310204147) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1104167 + ... + 1140089.

Almost surely, 240310204144 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 40310204144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45864314496).

40310204144 is an abundant number, since it is smaller than the sum of its proper divisors (51418424848).

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

40310204144 is a wasteful number, since it uses less digits than its factorization.

40310204144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36214 (or 36208 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 23.

Adding to 40310204144 its reverse (44140201304), we get a palindrome (84450405448).

The spelling of 40310204144 in words is "forty billion, three hundred ten million, two hundred four thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 43 56 86 112 172 233 301 344 466 602 688 932 1204 1631 1864 2408 3262 3728 4816 6524 10019 13048 20038 26096 35923 40076 70133 71846 80152 140266 143692 160304 251461 280532 287384 502922 561064 574768 1005844 1122128 1544689 2011688 3089378 4023376 6178756 8370059 10812823 12357512 16740118 21625646 24715024 33480236 43251292 58590413 66960472 86502584 117180826 133920944 173005168 234361652 359912537 468723304 719825074 937446608 1439650148 2519387759 2879300296 5038775518 5758600592 10077551036 20155102072 40310204144