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230240201114320 = 2455557694774551
BaseRepresentation
bin110100010110011011111001…
…011001101000001011010000
31010012012202012111002201000221
4310112123321121220023100
5220134223412441124240
62133402515504122424
766332206550546665
oct6426337131501320
91105182174081027
10230240201114320
11673a83591a7821
12219a6115606414
139b617336570b7
1440bd984251a6c
151b9412179da4a
hexd166f96682d0

230240201114320 has 80 divisors (see below), whose sum is σ = 535489050757248. Its totient is φ = 92065017945600.

The previous prime is 230240201114317. The next prime is 230240201114369. The reversal of 230240201114320 is 23411102042032.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3088321045 + ... + 3088395595.

Almost surely, 2230240201114320 is an apocalyptic number.

230240201114320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

230240201114320 is an abundant number, since it is smaller than the sum of its proper divisors (305248849642928).

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

230240201114320 is a wasteful number, since it uses less digits than its factorization.

230240201114320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87068 (or 87062 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

Adding to 230240201114320 its reverse (23411102042032), we get a palindrome (253651303156352).

The spelling of 230240201114320 in words is "two hundred thirty trillion, two hundred forty billion, two hundred one million, one hundred fourteen thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 5557 6947 11114 13894 22228 27785 27788 34735 44456 55570 55576 69470 74551 88912 111140 111152 138940 149102 222280 277880 298204 372755 444560 555760 596408 745510 1192816 1491020 2982040 5964080 38604479 77208958 154417916 193022395 308835832 386044790 414279907 517905797 617671664 772089580 828559814 1035811594 1544179160 1657119628 2071399535 2071623188 2589528985 3088358320 3314239256 4142799070 4143246376 5179057970 6628478512 8285598140 8286492752 10358115940 16571196280 20716231880 33142392560 41432463760 2878002513929 5756005027858 11512010055716 14390012569645 23024020111432 28780025139290 46048040222864 57560050278580 115120100557160 230240201114320