Search a number
-
+
131511131440 = 245132312743291
BaseRepresentation
bin111101001111010101…
…1001001110100110000
3110120110020101200020221
41322132223021310300
54123313322201230
6140225415542424
712333653113243
oct1723653116460
9416406350227
10131511131440
1150856672597
12215a298aa14
13c52ac93650
14651806925a
15364a85b27a
hex1e9eac9d30

131511131440 has 160 divisors (see below), whose sum is σ = 346313834496. Its totient is φ = 46079953920.

The previous prime is 131511131399. The next prime is 131511131441. The reversal of 131511131440 is 44131115131.

It is not an unprimeable number, because it can be changed into a prime (131511131441) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3016195 + ... + 3059485.

Almost surely, 2131511131440 is an apocalyptic number.

131511131440 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 131511131440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173156917248).

131511131440 is an abundant number, since it is smaller than the sum of its proper divisors (214802703056).

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

131511131440 is a wasteful number, since it uses less digits than its factorization.

131511131440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43467 (or 43461 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 25.

Adding to 131511131440 its reverse (44131115131), we get a palindrome (175642246571).

The spelling of 131511131440 in words is "one hundred thirty-one billion, five hundred eleven million, one hundred thirty-one thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 13 16 20 23 26 40 46 52 65 80 92 104 115 127 130 184 208 230 254 260 299 368 460 508 520 598 635 920 1016 1040 1196 1270 1495 1651 1840 2032 2392 2540 2921 2990 3302 4784 5080 5842 5980 6604 8255 10160 11684 11960 13208 14605 16510 23368 23920 26416 29210 33020 37973 43291 46736 58420 66040 75946 86582 116840 132080 151892 173164 189865 216455 233680 303784 346328 379730 432910 562783 607568 692656 759460 865820 995693 1125566 1518920 1731640 1991386 2251132 2813915 3037840 3463280 3982772 4502264 4978465 5497957 5627830 7965544 9004528 9956930 10995914 11255660 12944009 15931088 19913860 21991828 22511320 25888018 27489785 39827720 43983656 45022640 51776036 54979570 64720045 71473441 79655440 87967312 103552072 109959140 126453011 129440090 142946882 207104144 219918280 252906022 258880180 285893764 357367205 439836560 505812044 517760360 571787528 632265055 714734410 1011624088 1035520720 1143575056 1264530110 1429468820 1643889143 2023248176 2529060220 2858937640 3287778286 5058120440 5717875280 6575556572 8219445715 10116240880 13151113144 16438891430 26302226288 32877782860 65755565720 131511131440