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150123363740 = 22576743936457
BaseRepresentation
bin1000101111010000001…
…1001011110110011100
3112100111100121001002222
42023310003023312130
54424423040114430
6152544332404512
713563124352210
oct2136403136634
9470440531088
10150123363740
11587377a8159
1225118016738
1311205cb345c
1473a1d04940
153d8984b9e5
hex22f40cbd9c

150123363740 has 96 divisors (see below), whose sum is σ = 366516648960. Its totient is φ = 50585762304.

The previous prime is 150123363727. The next prime is 150123363791. The reversal of 150123363740 is 47363321051.

150123363740 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1501233637402 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 150123363740.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4099592 + ... + 4136048.

It is an arithmetic number, because the mean of its divisors is an integer number (3817881760).

Almost surely, 2150123363740 is an apocalyptic number.

150123363740 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 150123363740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183258324480).

150123363740 is an abundant number, since it is smaller than the sum of its proper divisors (216393285220).

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

150123363740 is a wasteful number, since it uses less digits than its factorization.

150123363740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36979 (or 36977 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 35.

Adding to 150123363740 its reverse (47363321051), we get a palindrome (197486684791).

The spelling of 150123363740 in words is "one hundred fifty billion, one hundred twenty-three million, three hundred sixty-three thousand, seven hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 67 70 134 140 268 335 439 469 670 878 938 1340 1756 1876 2195 2345 3073 4390 4690 6146 8780 9380 12292 15365 29413 30730 36457 58826 61460 72914 117652 145828 147065 182285 205891 255199 294130 364570 411782 510398 588260 729140 823564 1020796 1029455 1275995 2058910 2442619 2551990 4117820 4885238 5103980 9770476 12213095 16004623 17098333 24426190 32009246 34196666 48852380 64018492 68393332 80023115 85491665 112032361 160046230 170983330 224064722 320092460 341966660 448129444 560161805 1072309741 1120323610 2144619482 2240647220 4289238964 5361548705 7506168187 10723097410 15012336374 21446194820 30024672748 37530840935 75061681870 150123363740