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14200231240 = 23513178918049
BaseRepresentation
bin11010011100110011…
…00101010101001000
31100122122020111012101
431032121211111020
5213040224344430
610305024123144
71011615655036
oct151631452510
940578214171
1014200231240
1160277299a8
1229037664b4
131453c474c0
14989d19556
155819d5dca
hex34e665548

14200231240 has 128 divisors (see below), whose sum is σ = 36843660000. Its totient is φ = 4879024128.

The previous prime is 14200231207. The next prime is 14200231271. The reversal of 14200231240 is 4213200241.

It can be written as a sum of positive squares in 16 ways, for example, as 1352915524 + 12847315716 = 36782^2 + 113346^2 .

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, 777736 + ... + 795784.

Almost surely, 214200231240 is an apocalyptic number.

14200231240 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 14200231240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18421830000).

14200231240 is an abundant number, since it is smaller than the sum of its proper divisors (22643428760).

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

14200231240 is a wasteful number, since it uses less digits than its factorization.

14200231240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18179 (or 18175 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

Adding to 14200231240 its reverse (4213200241), we get a palindrome (18413431481).

The spelling of 14200231240 in words is "fourteen billion, two hundred million, two hundred thirty-one thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 13 17 20 26 34 40 52 65 68 85 89 104 130 136 170 178 221 260 340 356 442 445 520 680 712 884 890 1105 1157 1513 1768 1780 2210 2314 3026 3560 4420 4628 5785 6052 7565 8840 9256 11570 12104 15130 18049 19669 23140 30260 36098 39338 46280 60520 72196 78676 90245 98345 144392 157352 180490 196690 234637 306833 360980 393380 469274 613666 721960 786760 938548 1173185 1227332 1534165 1606361 1877096 2346370 2454664 3068330 3212722 3988829 4692740 6136660 6425444 7977658 8031805 9385480 12273320 12850888 15955316 16063610 19944145 20882693 27308137 31910632 32127220 39888290 41765386 54616274 64254440 79776580 83530772 104413465 109232548 136540685 159553160 167061544 208826930 218465096 273081370 355005781 417653860 546162740 710011562 835307720 1092325480 1420023124 1775028905 2840046248 3550057810 7100115620 14200231240