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14002434000240 = 243578334782143
BaseRepresentation
bin1100101111000011001000…
…0110101100010101110000
31211120121201200220222101120
43023300302012230111300
53313403441101001430
645440343540102240
72643433240123140
oct313606206542560
954517650828346
1014002434000240
114509442a50034
1216a1922994980
137a75682b558a
14365a1581c920
1519437e93d610
hexcbc321ac570

14002434000240 has 80 divisors (see below), whose sum is σ = 49608623321088. Its totient is φ = 3200556342528.

The previous prime is 14002434000169. The next prime is 14002434000271. The reversal of 14002434000240 is 4200043420041.

It is a happy number.

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

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 14002434000240.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4167389392 + ... + 4167392751.

Almost surely, 214002434000240 is an apocalyptic number.

14002434000240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14002434000240 is an abundant number, since it is smaller than the sum of its proper divisors (35606189320848).

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

14002434000240 is a wasteful number, since it uses less digits than its factorization.

14002434000240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8334782166 (or 8334782160 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 14002434000240 its reverse (4200043420041), we get a palindrome (18202477420281).

The spelling of 14002434000240 in words is "fourteen trillion, two billion, four hundred thirty-four million, two hundred forty", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 56 60 70 80 84 105 112 120 140 168 210 240 280 336 420 560 840 1680 8334782143 16669564286 25004346429 33339128572 41673910715 50008692858 58343475001 66678257144 83347821430 100017385716 116686950002 125021732145 133356514288 166695642860 175030425003 200034771432 233373900004 250043464290 291717375005 333391285720 350060850006 400069542864 466747800008 500086928580 583434750010 666782571440 700121700012 875152125015 933495600016 1000173857160 1166869500020 1400243400024 1750304250030 2000347714320 2333739000040 2800486800048 3500608500060 4667478000080 7001217000120 14002434000240