Search a number
-
+
144311213031040 = 2751120498751851
BaseRepresentation
bin100000110100000000010010…
…100101101111111010000000
3200220222000110120011021011101
4200310000102211233322000
5122403343331013443130
61230531353412224144
742253066250310256
oct4064002245577200
9626860416137141
10144311213031040
1141a89050630310
121422859130b054
13626a64842ca33
14278c9b2a545d6
1511a3cec2751ca
hex83401296fe80

144311213031040 has 64 divisors (see below), whose sum is σ = 376357084002720. Its totient is φ = 52476804736000.

The previous prime is 144311213031019. The next prime is 144311213031071. The reversal of 144311213031040 is 40130312113441.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-3 number, since 3×1443112130310403 (a number of 43 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10249368886 + ... + 10249382965.

Almost surely, 2144311213031040 is an apocalyptic number.

144311213031040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144311213031040 is an abundant number, since it is smaller than the sum of its proper divisors (232045870971680).

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

144311213031040 is a wasteful number, since it uses less digits than its factorization.

144311213031040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20498751881 (or 20498751869 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 28.

Adding to 144311213031040 its reverse (40130312113441), we get a palindrome (184441525144481).

The spelling of 144311213031040 in words is "one hundred forty-four trillion, three hundred eleven billion, two hundred thirteen million, thirty-one thousand, forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 80 88 110 128 160 176 220 320 352 440 640 704 880 1408 1760 3520 7040 20498751851 40997503702 81995007404 102493759255 163990014808 204987518510 225486270361 327980029616 409975037020 450972540722 655960059232 819950074040 901945081444 1127431351805 1311920118464 1639900148080 1803890162888 2254862703610 2623840236928 3279800296160 3607780325776 4509725407220 6559600592320 7215560651552 9019450814440 13119201184640 14431121303104 18038901628880 28862242606208 36077803257760 72155606515520 144311213031040