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13440551340 = 2235718873557
BaseRepresentation
bin11001000010001111…
…01000100110101100
31021200200202202021210
430201013220212230
5210011240120330
610101405354420
7654032541606
oct144107504654
937620682253
1013440551340
115777928177
122731268a10
131362740a78
14917088176
15539e758b0
hex3211e89ac

13440551340 has 96 divisors (see below), whose sum is σ = 38217360384. Its totient is φ = 3528689920.

The previous prime is 13440551233. The next prime is 13440551347. The reversal of 13440551340 is 4315504431.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 13440551298 and 13440551307.

It is not an unprimeable number, because it can be changed into a prime (13440551347) 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, 3776842 + ... + 3780398.

It is an arithmetic number, because the mean of its divisors is an integer number (398097504).

Almost surely, 213440551340 is an apocalyptic number.

13440551340 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 13440551340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19108680192).

13440551340 is an abundant number, since it is smaller than the sum of its proper divisors (24776809044).

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

13440551340 is a wasteful number, since it uses less digits than its factorization.

13440551340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4527 (or 4525 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

It can be divided in two parts, 134405 and 51340, that added together give a triangular number (185745 = T609).

The spelling of 13440551340 in words is "thirteen billion, four hundred forty million, five hundred fifty-one thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 71 142 213 284 355 426 710 852 887 1065 1420 1774 2130 2661 3548 3557 4260 4435 5322 7114 8870 10644 10671 13305 14228 17740 17785 21342 26610 35570 42684 53220 53355 62977 71140 106710 125954 188931 213420 251908 252547 314885 377862 505094 629770 755724 757641 944655 1010188 1259540 1262735 1515282 1889310 2525470 3030564 3155059 3778620 3788205 5050940 6310118 7576410 9465177 12620236 15152820 15775295 18930354 31550590 37860708 47325885 63101180 94651770 189303540 224009189 448018378 672027567 896036756 1120045945 1344055134 2240091890 2688110268 3360137835 4480183780 6720275670 13440551340