Search a number
-
+
154257234780 = 223511241518233
BaseRepresentation
bin1000111110101001110…
…0101001101101011100
3112202011110012110002210
42033222130221231130
510011404323003110
6154510443520420
714100431601315
oct2175234515534
9482143173083
10154257234780
115a469207700
1225a90529110
13117145775ac
147674d4560c
15402c717520
hex23ea729b5c

154257234780 has 144 divisors (see below), whose sum is σ = 486335660832. Its totient is φ = 36483532800.

The previous prime is 154257234763. The next prime is 154257234793. The reversal of 154257234780 is 87432752451.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 38544 + ... + 556776.

It is an arithmetic number, because the mean of its divisors is an integer number (3377330978).

Almost surely, 2154257234780 is an apocalyptic number.

154257234780 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 154257234780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243167830416).

154257234780 is an abundant number, since it is smaller than the sum of its proper divisors (332078426052).

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

154257234780 is a wasteful number, since it uses less digits than its factorization.

154257234780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 518308 (or 518295 counting only the distinct ones).

The product of its (nonzero) digits is 1881600, while the sum is 48.

The spelling of 154257234780 in words is "one hundred fifty-four billion, two hundred fifty-seven million, two hundred thirty-four thousand, seven hundred eighty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 41 44 55 60 66 82 110 121 123 132 164 165 205 220 242 246 330 363 410 451 484 492 605 615 660 726 820 902 1210 1230 1353 1452 1804 1815 2255 2420 2460 2706 3630 4510 4961 5412 6765 7260 9020 9922 13530 14883 19844 24805 27060 29766 49610 59532 74415 99220 148830 297660 518233 1036466 1554699 2072932 2591165 3109398 5182330 5700563 6218796 7773495 10364660 11401126 15546990 17101689 21247553 22802252 28502815 31093980 34203378 42495106 57005630 62706193 63742659 68406756 84990212 85508445 106237765 114011260 125412386 127485318 171016890 188118579 212475530 233723083 250824772 254970636 313530965 318713295 342033780 376237158 424951060 467446166 627061930 637426590 701169249 752474316 934892332 940592895 1168615415 1254123860 1274853180 1402338498 1881185790 2337230830 2570953913 2804676996 3505846245 3762371580 4674461660 5141907826 7011692490 7712861739 10283815652 12854769565 14023384980 15425723478 25709539130 30851446956 38564308695 51419078260 77128617390 154257234780