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14451998720 = 219537149
BaseRepresentation
bin11010111010110100…
…00000000000000000
31101022011222121020212
431131122000000000
5214044202424340
610350020253252
71021063651025
oct153532000000
941264877225
1014451998720
11614685a5a5
122973b41228
131494158543
149b153554c
15598b68a65
hex35d680000

14451998720 has 160 divisors (see below), whose sum is σ = 35861265000. Its totient is φ = 5586812928.

The previous prime is 14451998711. The next prime is 14451998753. The reversal of 14451998720 is 2789915441.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 11670913024 + 2781085696 = 108032^2 + 52736^2 .

It is a tau number, because it is divible by the number of its divisors (160).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 96993206 + ... + 96993354.

Almost surely, 214451998720 is an apocalyptic number.

14451998720 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 14451998720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17930632500).

14451998720 is an abundant number, since it is smaller than the sum of its proper divisors (21409266280).

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

14451998720 is an frugal number, since it uses more digits than its factorization.

14451998720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 229 (or 193 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 50.

The spelling of 14451998720 in words is "fourteen billion, four hundred fifty-one million, nine hundred ninety-eight thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 37 40 64 74 80 128 148 149 160 185 256 296 298 320 370 512 592 596 640 740 745 1024 1184 1192 1280 1480 1490 2048 2368 2384 2560 2960 2980 4096 4736 4768 5120 5513 5920 5960 8192 9472 9536 10240 11026 11840 11920 16384 18944 19072 20480 22052 23680 23840 27565 32768 37888 38144 40960 44104 47360 47680 55130 65536 75776 76288 81920 88208 94720 95360 110260 131072 151552 152576 163840 176416 189440 190720 220520 262144 303104 305152 327680 352832 378880 381440 441040 524288 606208 610304 655360 705664 757760 762880 882080 1212416 1220608 1310720 1411328 1515520 1525760 1764160 2424832 2441216 2621440 2822656 3031040 3051520 3528320 4849664 4882432 5645312 6062080 6103040 7056640 9699328 9764864 11290624 12124160 12206080 14113280 19398656 19529728 22581248 24248320 24412160 28226560 39059456 45162496 48496640 48824320 56453120 78118912 90324992 96993280 97648640 112906240 180649984 195297280 225812480 361299968 390594560 451624960 722599936 903249920 1445199872 1806499840 2890399744 3612999680 7225999360 14451998720