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14002232411000 = 2353711931021837
BaseRepresentation
bin1100101111000010011000…
…0101101100001101111000
31211120121012122121011221102
43023300212011230031320
53313403032444123000
645440311535230532
72643425241466331
oct313604605541570
954517178534842
1014002232411000
11450934a182059
1216a1887378448
137a75355c2ac2
143659d6b45288
1519436bdbd3d5
hexcbc2616c378

14002232411000 has 128 divisors (see below), whose sum is σ = 33398897650560. Its totient is φ = 5493390336000.

The previous prime is 14002232410993. The next prime is 14002232411047. The reversal of 14002232411000 is 11423220041.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13192082 + ... + 14213918.

It is an arithmetic number, because the mean of its divisors is an integer number (260928887895).

Almost surely, 214002232411000 is an apocalyptic number.

14002232411000 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 14002232411000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16699448825280).

14002232411000 is an abundant number, since it is smaller than the sum of its proper divisors (19396665239560).

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

14002232411000 is a wasteful number, since it uses less digits than its factorization.

14002232411000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1022122 (or 1022108 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 14002232411000 its reverse (11423220041), we get a palindrome (14013655631041).

The spelling of 14002232411000 in words is "fourteen trillion, two billion, two hundred thirty-two million, four hundred eleven thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 71 100 125 142 193 200 250 284 355 386 500 568 710 772 965 1000 1420 1544 1775 1930 2840 3550 3860 4825 7100 7720 8875 9650 13703 14200 17750 19300 24125 27406 35500 38600 48250 54812 68515 71000 96500 109624 137030 193000 274060 342575 548120 685150 1021837 1370300 1712875 2043674 2740600 3425750 4087348 5109185 6851500 8174696 10218370 13703000 20436740 25545925 40873480 51091850 72550427 102183700 127729625 145100854 197214541 204367400 255459250 290201708 362752135 394429082 510918500 580403416 725504270 788858164 986072705 1021837000 1451008540 1577716328 1813760675 1972145410 2902017080 3627521350 3944290820 4930363525 7255042700 7888581640 9068803375 9860727050 14002232411 14510085400 18137606750 19721454100 24651817625 28004464822 36275213500 39442908200 49303635250 56008929644 70011162055 72550427000 98607270500 112017859288 140022324110 197214541000 280044648220 350055810275 560089296440 700111620550 1400223241100 1750279051375 2800446482200 3500558102750 7001116205500 14002232411000