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150014232240 = 243529109197741
BaseRepresentation
bin1000101110110110001…
…0111000011010110000
3112100012202020120211120
42023231202320122300
54424212120412430
6152525433342240
713560330635445
oct2135542703260
9470182216746
10150014232240
115869113a034
12250a7567980
13111b94c34c2
1473916179cc
153d7ee91610
hex22ed8b86b0

150014232240 has 160 divisors (see below), whose sum is σ = 485496158400. Its totient is φ = 38269808640.

The previous prime is 150014232191. The next prime is 150014232283. The reversal of 150014232240 is 42232410051.

150014232240 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-3 number, since 3×1500142322403 (a number of 35 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 150014232240.

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, 659770 + ... + 857510.

It is an arithmetic number, because the mean of its divisors is an integer number (3034350990).

Almost surely, 2150014232240 is an apocalyptic number.

150014232240 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 150014232240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242748079200).

150014232240 is an abundant number, since it is smaller than the sum of its proper divisors (335481926160).

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

150014232240 is a wasteful number, since it uses less digits than its factorization.

150014232240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 197895 (or 197889 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

Adding to 150014232240 its reverse (42232410051), we get a palindrome (192246642291).

The spelling of 150014232240 in words is "one hundred fifty billion, fourteen million, two hundred thirty-two thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 29 30 40 48 58 60 80 87 109 116 120 145 174 218 232 240 290 327 348 435 436 464 545 580 654 696 870 872 1090 1160 1308 1392 1635 1740 1744 2180 2320 2616 3161 3270 3480 4360 5232 6322 6540 6960 8720 9483 12644 13080 15805 18966 25288 26160 31610 37932 47415 50576 63220 75864 94830 126440 151728 189660 197741 252880 379320 395482 593223 758640 790964 988705 1186446 1581928 1977410 2372892 2966115 3163856 3954820 4745784 5734489 5932230 7909640 9491568 11468978 11864460 15819280 17203467 21553769 22937956 23728920 28672445 34406934 43107538 45875912 47457840 57344890 64661307 68813868 86017335 86215076 91751824 107768845 114689780 129322614 137627736 172034670 172430152 215537690 229379560 258645228 275255472 323306535 344069340 344860304 431075380 458759120 517290456 625059301 646613070 688138680 862150760 1034580912 1250118602 1293226140 1376277360 1724301520 1875177903 2500237204 2586452280 3125296505 3750355806 5000474408 5172904560 6250593010 7500711612 9375889515 10000948816 12501186020 15001423224 18751779030 25002372040 30002846448 37503558060 50004744080 75007116120 150014232240