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14053134223392 = 2531123139026077
BaseRepresentation
bin1100110010000000000000…
…0100101100100000100000
31211202110121002100011121020
43030200000010230200200
53320221304330122032
645515530513525440
72650206523656615
oct314400004544040
954673532304536
1014053134223392
11452899a9a5100
1216ab712273880
137ac288142114
1436826514450c
1519584a9ebb2c
hexcc80012c820

14053134223392 has 144 divisors (see below), whose sum is σ = 41855936967936. Its totient is φ = 4121153625600.

The previous prime is 14053134223367. The next prime is 14053134223393. The reversal of 14053134223392 is 29332243135041.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (14053134223393) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19152943 + ... + 19873134.

It is an arithmetic number, because the mean of its divisors is an integer number (290666228944).

Almost surely, 214053134223392 is an apocalyptic number.

14053134223392 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

14053134223392 is an abundant number, since it is smaller than the sum of its proper divisors (27802802744544).

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

14053134223392 is a wasteful number, since it uses less digits than its factorization.

14053134223392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39026143 (or 39026124 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 42.

The spelling of 14053134223392 in words is "fourteen trillion, fifty-three billion, one hundred thirty-four million, two hundred twenty-three thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 31 32 33 44 48 62 66 88 93 96 121 124 132 176 186 242 248 264 341 352 363 372 484 496 528 682 726 744 968 992 1023 1056 1364 1452 1488 1936 2046 2728 2904 2976 3751 3872 4092 5456 5808 7502 8184 10912 11253 11616 15004 16368 22506 30008 32736 45012 60016 90024 120032 180048 360096 39026077 78052154 117078231 156104308 234156462 312208616 429286847 468312924 624417232 858573694 936625848 1209808387 1248834464 1287860541 1717147388 1873251696 2419616774 2575721082 3434294776 3629425161 3746503392 4722155317 4839233548 5151442164 6868589552 7258850322 9444310634 9678467096 10302884328 13307892257 13737179104 14166465951 14517700644 18888621268 19356934192 20605768656 26615784514 28332931902 29035401288 37777242536 38713868384 39923676771 41211537312 53231569028 56665863804 58070802576 75554485072 79847353542 106463138056 113331727608 116141605152 146386814827 151108970144 159694707084 212926276112 226663455216 292773629654 319389414168 425852552224 439160444481 453326910432 585547259308 638778828336 878320888962 1171094518616 1277557656672 1756641777924 2342189037232 3513283555848 4684378074464 7026567111696 14053134223392