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14155450400 = 2552713194443
BaseRepresentation
bin11010010111011101…
…10000100000100000
31100112111222101102202
431023232300200200
5212442243403100
610300344232332
71010533225460
oct151356604040
940474871382
1014155450400
116004423443
1228b076b6a8
131447898870
14983dbdba0
1557cadc7d5
hex34bbb0820

14155450400 has 144 divisors (see below), whose sum is σ = 42531902784. Its totient is φ = 4479943680.

The previous prime is 14155450373. The next prime is 14155450499. The reversal of 14155450400 is 405455141.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24422 + ... + 170021.

It is an arithmetic number, because the mean of its divisors is an integer number (295360436).

Almost surely, 214155450400 is an apocalyptic number.

14155450400 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 14155450400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21265951392).

14155450400 is an abundant number, since it is smaller than the sum of its proper divisors (28376452384).

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

14155450400 is a wasteful number, since it uses less digits than its factorization.

14155450400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 194483 (or 194470 counting only the distinct ones).

The product of its (nonzero) digits is 8000, while the sum is 29.

The spelling of 14155450400 in words is "fourteen billion, one hundred fifty-five million, four hundred fifty thousand, four hundred".

Divisors: 1 2 4 5 7 8 10 13 14 16 20 25 26 28 32 35 40 50 52 56 65 70 80 91 100 104 112 130 140 160 175 182 200 208 224 260 280 325 350 364 400 416 455 520 560 650 700 728 800 910 1040 1120 1300 1400 1456 1820 2080 2275 2600 2800 2912 3640 4550 5200 5600 7280 9100 10400 14560 18200 36400 72800 194443 388886 777772 972215 1361101 1555544 1944430 2527759 2722202 3111088 3888860 4861075 5055518 5444404 6222176 6805505 7777720 9722150 10111036 10888808 12638795 13611010 15555440 17694313 19444300 20222072 21777616 25277590 27222020 31110880 34027525 35388626 38888600 40444144 43555232 50555180 54444040 63193975 68055050 70777252 77777200 80888288 88471565 101110360 108888080 126387950 136110100 141554504 155554400 176943130 202220720 217776160 252775900 272220200 283109008 353886260 404441440 442357825 505551800 544440400 566218016 707772520 884715650 1011103600 1088880800 1415545040 1769431300 2022207200 2831090080 3538862600 7077725200 14155450400