Search a number
-
+
103334230440 = 2334574556183
BaseRepresentation
bin110000000111100110…
…0110011100110101000
3100212201112120210120000
41200033030303212220
53143112030333230
6115245431103000
710315501315650
oct1401714634650
9325645523500
10103334230440
113a90752a851
121803a511a60
13998a51846c
145003bcb360
152a4bceeb60
hex180f3339a8

103334230440 has 160 divisors (see below), whose sum is σ = 396934750080. Its totient is φ = 23619247488.

The previous prime is 103334230423. The next prime is 103334230457. The reversal of 103334230440 is 44032433301.

103334230440 is a `hidden beast` number, since 10 + 3 + 3 + 342 + 304 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (103334230423) and next prime (103334230457).

It is a Harshad number since it is a multiple of its sum of digits (27).

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 39 ways as a sum of consecutive naturals, for example, 2255412 + ... + 2300771.

It is an arithmetic number, because the mean of its divisors is an integer number (2480842188).

Almost surely, 2103334230440 is an apocalyptic number.

103334230440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

103334230440 is an abundant number, since it is smaller than the sum of its proper divisors (293600519640).

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

103334230440 is a wasteful number, since it uses less digits than its factorization.

103334230440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4556213 (or 4556200 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 27.

Adding to 103334230440 its reverse (44032433301), we get a palindrome (147366663741).

The spelling of 103334230440 in words is "one hundred three billion, three hundred thirty-four million, two hundred thirty thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 18 20 21 24 27 28 30 35 36 40 42 45 54 56 60 63 70 72 81 84 90 105 108 120 126 135 140 162 168 180 189 210 216 252 270 280 315 324 360 378 405 420 504 540 567 630 648 756 810 840 945 1080 1134 1260 1512 1620 1890 2268 2520 2835 3240 3780 4536 5670 7560 11340 22680 4556183 9112366 13668549 18224732 22780915 27337098 31893281 36449464 41005647 45561830 54674196 63786562 68342745 82011294 91123660 95679843 109348392 123016941 127573124 136685490 159466405 164022588 182247320 191359686 205028235 246033882 255146248 273370980 287039529 318932810 328045176 369050823 382719372 410056470 478399215 492067764 546741960 574079058 615084705 637865620 738101646 765438744 820112940 861118587 956798430 984135528 1148158116 1230169410 1275731240 1435197645 1476203292 1640225880 1722237174 1845254115 1913596860 2296316232 2460338820 2583355761 2870395290 2952406584 3444474348 3690508230 3827193720 4305592935 4920677640 5166711522 5740790580 6888948696 7381016460 8611185870 10333423044 11481581160 12916778805 14762032920 17222371740 20666846088 25833557610 34444743480 51667115220 103334230440