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141424012333440 = 273358184259973
BaseRepresentation
bin100000001001111111011000…
…000001001001000110000000
3200112202000002120200021002000
4200021333120001021012000
5122014042334124132230
61220441143325224000
741534355602305134
oct4011773001110600
9615660076607060
10141424012333440
1141075650056001
1213a40b07702000
1360bb2c50415a5
1426ccd5ca233c4
151153b6a776b60
hex809fd8049180

141424012333440 has 128 divisors (see below), whose sum is σ = 500876710408800. Its totient is φ = 37713069950976.

The previous prime is 141424012333379. The next prime is 141424012333529. The reversal of 141424012333440 is 44333210424141.

141424012333440 is a `hidden beast` number, since 1 + 4 + 1 + 42 + 40 + 1 + 233 + 344 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 141424012333395 and 141424012333404.

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, 4092112707 + ... + 4092147266.

Almost surely, 2141424012333440 is an apocalyptic number.

141424012333440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

141424012333440 is an abundant number, since it is smaller than the sum of its proper divisors (359452698075360).

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

141424012333440 is an equidigital number, since it uses as much as digits as its factorization.

141424012333440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8184260001 (or 8184259983 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

Adding to 141424012333440 its reverse (44333210424141), we get a palindrome (185757222757581).

The spelling of 141424012333440 in words is "one hundred forty-one trillion, four hundred twenty-four billion, twelve million, three hundred thirty-three thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 64 72 80 90 96 108 120 128 135 144 160 180 192 216 240 270 288 320 360 384 432 480 540 576 640 720 864 960 1080 1152 1440 1728 1920 2160 2880 3456 4320 5760 8640 17280 8184259973 16368519946 24552779919 32737039892 40921299865 49105559838 65474079784 73658339757 81842599730 98211119676 122763899595 130948159568 147316679514 163685199460 196422239352 220975019271 245527799190 261896319136 294633359028 327370398920 368291698785 392844478704 441950038542 491055598380 523792638272 589266718056 654740797840 736583397570 785688957408 883900077084 982111196760 1047585276544 1104875096355 1178533436112 1309481595680 1473166795140 1571377914816 1767800154168 1964222393520 2209750192710 2357066872224 2618963191360 2946333590280 3142755829632 3535600308336 3928444787040 4419500385420 4714133744448 5237926382720 5892667180560 7071200616672 7856889574080 8839000770840 9428267488896 11785334361120 14142401233344 15713779148160 17678001541680 23570668722240 28284802466688 35356003083360 47141337444480 70712006166720 141424012333440