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13114441340 = 22572111393581
BaseRepresentation
bin11000011011010111…
…00111111001111100
31020211222010122110122
430031223213321330
5203324244110330
610005155554112
7642662624600
oct141553477174
936758118418
1013114441340
11561a83a980
12265bbbb938
131310000780
148c5a39500
1551b50a5e5
hex30dae7e7c

13114441340 has 144 divisors (see below), whose sum is σ = 37637931744. Its totient is φ = 3773145600.

The previous prime is 13114441303. The next prime is 13114441367. The reversal of 13114441340 is 4314441131.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (26).

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, 93350 + ... + 186930.

It is an arithmetic number, because the mean of its divisors is an integer number (261374526).

Almost surely, 213114441340 is an apocalyptic number.

13114441340 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 13114441340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18818965872).

13114441340 is an abundant number, since it is smaller than the sum of its proper divisors (24523490404).

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

13114441340 is a wasteful number, since it uses less digits than its factorization.

13114441340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93628 (or 93619 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 26.

Adding to 13114441340 its reverse (4314441131), we get a palindrome (17428882471).

It can be divided in two parts, 13114 and 441340, that added together give a palindrome (454454).

The spelling of 13114441340 in words is "thirteen billion, one hundred fourteen million, four hundred forty-one thousand, three hundred forty".

Divisors: 1 2 4 5 7 10 11 13 14 20 22 26 28 35 44 49 52 55 65 70 77 91 98 110 130 140 143 154 182 196 220 245 260 286 308 364 385 455 490 539 572 637 715 770 910 980 1001 1078 1274 1430 1540 1820 2002 2156 2548 2695 2860 3185 4004 5005 5390 6370 7007 10010 10780 12740 14014 20020 28028 35035 70070 93581 140140 187162 374324 467905 655067 935810 1029391 1216553 1310134 1871620 2058782 2433106 2620268 3275335 4117564 4585469 4866212 5146955 6082765 6550670 7205737 8515871 9170938 10293910 12165530 13101340 13382083 14411474 17031742 18341876 20587820 22927345 24331060 26764166 28822948 34063484 36028685 42579355 45854690 50440159 53528332 59611097 66910415 72057370 85158710 91709380 93674581 100880318 119222194 133820830 144114740 170317420 187349162 201760636 238444388 252200795 267641660 298055485 374698324 468372905 504401590 596110970 655722067 936745810 1008803180 1192221940 1311444134 1873491620 2622888268 3278610335 6557220670 13114441340