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14420322221004 = 223272323831044053
BaseRepresentation
bin1101000111010111111000…
…1011101111101111001100
31220001120101001100010010100
43101311332023233233030
53342230304442033004
650400334331011100
73015556012314240
oct321657613575714
956046331303110
1014420322221004
11465a695a58457
12174a908899a90
13807aa494801b
1437bd39632420
151a018b9b0739
hexd1d7e2efbcc

14420322221004 has 144 divisors (see below), whose sum is σ = 43488240187392. Its totient is φ = 3939300072576.

The previous prime is 14420322220987. The next prime is 14420322221017. The reversal of 14420322221004 is 40012222302441.

It is a happy number.

14420322221004 is a `hidden beast` number, since 1 + 4 + 420 + 3 + 2 + 22 + 210 + 0 + 4 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13289842 + ... + 14333894.

It is an arithmetic number, because the mean of its divisors is an integer number (302001667968).

Almost surely, 214420322221004 is an apocalyptic number.

14420322221004 is a gapful number since it is divisible by the number (14) 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 14420322221004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21744120093696).

14420322221004 is an abundant number, since it is smaller than the sum of its proper divisors (29067917966388).

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

14420322221004 is a wasteful number, since it uses less digits than its factorization.

14420322221004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1046476 (or 1046471 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 14420322221004 its reverse (40012222302441), we get a palindrome (54432544523445).

The spelling of 14420322221004 in words is "fourteen trillion, four hundred twenty billion, three hundred twenty-two million, two hundred twenty-one thousand, four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 23 28 36 42 46 63 69 84 92 126 138 161 207 252 276 322 414 483 644 828 966 1449 1932 2383 2898 4766 5796 7149 9532 14298 16681 21447 28596 33362 42894 50043 54809 66724 85788 100086 109618 150129 164427 200172 219236 300258 328854 383663 493281 600516 657708 767326 986562 1044053 1150989 1534652 1973124 2088106 2301978 3132159 3452967 4176212 4603956 6264318 6905934 7308371 9396477 12528636 13811868 14616742 18792954 21925113 24013219 29233484 37585908 43850226 48026438 65775339 72039657 87700452 96052876 131550678 144079314 168092533 216118971 263101356 288158628 336185066 432237942 504277599 672370132 864475884 1008555198 1512832797 2017110396 2487978299 3025665594 4975956598 6051331188 7463934897 9951913196 14927869794 17415848093 22391804691 29855739588 34831696186 44783609382 52247544279 57223500877 69663392372 89567218764 104495088558 114447001754 156742632837 171670502631 208990177116 228894003508 313485265674 343341005262 400564506139 515011507893 626970531348 686682010524 801129012278 1030023015786 1201693518417 1602258024556 2060046031572 2403387036834 3605080555251 4806774073668 7210161110502 14420322221004