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13390084944 = 2433311099173
BaseRepresentation
bin11000111100001110…
…00111101101010000
31021120011210210102000
430132013013231100
5204410330204234
610052403554000
7652550562345
oct143607075520
937504723360
1013390084944
115751399005
12271838b900
1313551512b2
149104ac7cc
15535807899
hex31e1c7b50

13390084944 has 160 divisors (see below), whose sum is σ = 40042675200. Its totient is φ = 4279288320.

The previous prime is 13390084937. The next prime is 13390084949. The reversal of 13390084944 is 44948009331.

It is a happy number.

13390084944 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 13390084944.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13390084949) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 1455142 + ... + 1464314.

It is an arithmetic number, because the mean of its divisors is an integer number (250266720).

Almost surely, 213390084944 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13390084944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20021337600).

13390084944 is an abundant number, since it is smaller than the sum of its proper divisors (26652590256).

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

13390084944 is a wasteful number, since it uses less digits than its factorization.

13390084944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9330 (or 9318 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The spelling of 13390084944 in words is "thirteen billion, three hundred ninety million, eighty-four thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 31 36 48 54 62 72 93 108 109 124 144 186 216 218 248 279 327 372 432 436 496 558 654 744 837 872 981 1116 1308 1488 1674 1744 1962 2232 2616 2943 3348 3379 3924 4464 5232 5886 6696 6758 7848 9173 10137 11772 13392 13516 15696 18346 20274 23544 27032 27519 30411 36692 40548 47088 54064 55038 60822 73384 81096 82557 91233 110076 121644 146768 162192 165114 182466 220152 243288 247671 284363 330228 364932 440304 486576 495342 568726 660456 729864 853089 990684 999857 1137452 1320912 1459728 1706178 1981368 1999714 2274904 2559267 2999571 3412356 3962736 3999428 4549808 5118534 5999142 6824712 7677801 7998856 8998713 10237068 11998284 13649424 15355602 15997712 17997426 20474136 23996568 26996139 30711204 30995567 35994852 40948272 47993136 53992278 61422408 61991134 71989704 92986701 107984556 122844816 123982268 143979408 185973402 215969112 247964536 278960103 371946804 431938224 495929072 557920206 743893608 836880309 1115840412 1487787216 1673760618 2231680824 3347521236 4463361648 6695042472 13390084944