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150420765040 = 24571333316203
BaseRepresentation
bin1000110000010111000…
…1101011100101110000
3112101021002012120222221
42030011301223211300
54431030203440130
6153034035010424
713603365256330
oct2140561534560
9471232176887
10150420765040
115887a667157
122519b739a14
13112527b1460
1473cd5dd0c0
153da59e587a
hex2305c6b970

150420765040 has 160 divisors (see below), whose sum is σ = 430633437696. Its totient is φ = 47583728640.

The previous prime is 150420765029. The next prime is 150420765073. The reversal of 150420765040 is 40567024051.

It is a junction number, because it is equal to n+sod(n) for n = 150420764987 and 150420765005.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 24246579 + ... + 24252781.

Almost surely, 2150420765040 is an apocalyptic number.

150420765040 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 150420765040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215316718848).

150420765040 is an abundant number, since it is smaller than the sum of its proper divisors (280212672656).

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

150420765040 is a wasteful number, since it uses less digits than its factorization.

150420765040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9567 (or 9561 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 34.

Adding to 150420765040 its reverse (40567024051), we get a palindrome (190987789091).

The spelling of 150420765040 in words is "one hundred fifty billion, four hundred twenty million, seven hundred sixty-five thousand, forty".

Divisors: 1 2 4 5 7 8 10 13 14 16 20 26 28 35 40 52 56 65 70 80 91 104 112 130 140 182 208 260 280 364 455 520 560 728 910 1040 1456 1820 3331 3640 6203 6662 7280 12406 13324 16655 23317 24812 26648 31015 33310 43303 43421 46634 49624 53296 62030 66620 80639 86606 86842 93268 99248 116585 124060 133240 161278 173212 173684 186536 216515 217105 233170 248120 266480 303121 322556 346424 347368 373072 403195 433030 434210 466340 496240 564473 606242 645112 692848 694736 806390 866060 868420 932680 1128946 1212484 1290224 1515605 1612780 1732120 1736840 1865360 2257892 2424968 2822365 3031210 3225560 3464240 3473680 4515784 4849936 5644730 6062420 6451120 9031568 11289460 12124840 20662193 22578920 24249680 41324386 45157840 82648772 103310965 144635351 165297544 206621930 268608509 289270702 330595088 413243860 537217018 578541404 723176755 826487720 1074434036 1157082808 1343042545 1446353510 1652975440 1880259563 2148868072 2314165616 2686085090 2892707020 3760519126 4297736144 5372170180 5785414040 7521038252 9401297815 10744340360 11570828080 15042076504 18802595630 21488680720 30084153008 37605191260 75210382520 150420765040