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150430046640 = 24353316313001
BaseRepresentation
bin1000110000011001010…
…1000101100110110000
3112101021201200010221220
42030012111011212300
54431040042443030
6153035005545040
713603540204356
oct2140625054660
9471251603856
10150430046640
11588849265a5
12251a2875180
13112546b1023
1473d09377d6
153da672aa10
hex23065459b0

150430046640 has 160 divisors (see below), whose sum is σ = 468639386112. Its totient is φ = 39916800000.

The previous prime is 150430046617. The next prime is 150430046707. The reversal of 150430046640 is 46640034051.

150430046640 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1504300466402 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 50125140 + ... + 50128140.

Almost surely, 2150430046640 is an apocalyptic number.

150430046640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 150430046640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234319693056).

150430046640 is an abundant number, since it is smaller than the sum of its proper divisors (318209339472).

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

150430046640 is a wasteful number, since it uses less digits than its factorization.

150430046640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3979 (or 3973 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 33.

The spelling of 150430046640 in words is "one hundred fifty billion, four hundred thirty million, forty-six thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 331 631 662 993 1262 1324 1655 1893 1986 2524 2648 3001 3155 3310 3786 3972 4965 5048 5296 6002 6310 6620 7572 7944 9003 9465 9930 10096 12004 12620 13240 15005 15144 15888 18006 18930 19860 24008 25240 26480 30010 30288 36012 37860 39720 45015 48016 50480 60020 72024 75720 79440 90030 120040 144048 151440 180060 208861 240080 360120 417722 626583 720240 835444 993331 1044305 1253166 1670888 1893631 1986662 2088610 2506332 2979993 3132915 3341776 3787262 3973324 4177220 4966655 5012664 5680893 5959986 6265830 7574524 7946648 8354440 9468155 9933310 10025328 11361786 11919972 12531660 14899965 15149048 15893296 16708880 18936310 19866620 22723572 23839944 25063320 28404465 29799930 30298096 37872620 39733240 45447144 47679888 50126640 56808930 59599860 75745240 79466480 90894288 113617860 119199720 151490480 227235720 238399440 454471440 626791861 1253583722 1880375583 2507167444 3133959305 3760751166 5014334888 6267918610 7521502332 9401877915 10028669776 12535837220 15043004664 18803755830 25071674440 30086009328 37607511660 50143348880 75215023320 150430046640