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13946250720 = 253545763577
BaseRepresentation
bin11001111110100001…
…01110010111100000
31022222221022221102110
430333100232113200
5212030220010340
610223512315320
71002413114043
oct147720562740
938887287373
1013946250720
115a07327646
1228526a2b40
13141344007c
149642c4c5a
15569567680
hex33f42e5e0

13946250720 has 96 divisors (see below), whose sum is σ = 44027510688. Its totient is φ = 3710803968.

The previous prime is 13946250683. The next prime is 13946250739. The reversal of 13946250720 is 2705264931.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 187572 + ... + 251148.

It is an arithmetic number, because the mean of its divisors is an integer number (458619903).

Almost surely, 213946250720 is an apocalyptic number.

13946250720 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 13946250720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22013755344).

13946250720 is an abundant number, since it is smaller than the sum of its proper divisors (30081259968).

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

13946250720 is a wasteful number, since it uses less digits than its factorization.

13946250720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64052 (or 64044 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 39.

The spelling of 13946250720 in words is "thirteen billion, nine hundred forty-six million, two hundred fifty thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 457 480 914 1371 1828 2285 2742 3656 4570 5484 6855 7312 9140 10968 13710 14624 18280 21936 27420 36560 43872 54840 63577 73120 109680 127154 190731 219360 254308 317885 381462 508616 635770 762924 953655 1017232 1271540 1525848 1907310 2034464 2543080 3051696 3814620 5086160 6103392 7629240 10172320 15258480 29054689 30516960 58109378 87164067 116218756 145273445 174328134 232437512 290546890 348656268 435820335 464875024 581093780 697312536 871640670 929750048 1162187560 1394625072 1743281340 2324375120 2789250144 3486562680 4648750240 6973125360 13946250720