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14535051040 = 255419192411
BaseRepresentation
bin11011000100101101…
…10100011100100000
31101111222021002121201
431202112310130200
5214231433113130
610402144330544
71023122616046
oct154226643440
941458232551
1014535051040
116189725a84
122997913a54
1314a8417023
149bc594396
155a10c1bca
hex3625b4720

14535051040 has 96 divisors (see below), whose sum is σ = 35229479040. Its totient is φ = 5663692800.

The previous prime is 14535050993. The next prime is 14535051061. The reversal of 14535051040 is 4015053541.

It is a super-2 number, since 2×145350510402 (a number of 21 digits) contains 22 as substring.

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, 6027435 + ... + 6029845.

It is an arithmetic number, because the mean of its divisors is an integer number (366973740).

Almost surely, 214535051040 is an apocalyptic number.

14535051040 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 14535051040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17614739520).

14535051040 is an abundant number, since it is smaller than the sum of its proper divisors (20694428000).

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

14535051040 is a wasteful number, since it uses less digits than its factorization.

14535051040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3386 (or 3378 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 28.

The spelling of 14535051040 in words is "fourteen billion, five hundred thirty-five million, fifty-one thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 41 80 82 160 164 205 328 410 656 820 919 1312 1640 1838 2411 3280 3676 4595 4822 6560 7352 9190 9644 12055 14704 18380 19288 24110 29408 36760 37679 38576 48220 73520 75358 77152 96440 98851 147040 150716 188395 192880 197702 301432 376790 385760 395404 494255 602864 753580 790808 988510 1205728 1507160 1581616 1977020 2215709 3014320 3163232 3954040 4431418 6028640 7908080 8862836 11078545 15816160 17725672 22157090 35451344 44314180 70902688 88628360 90844069 177256720 181688138 354513440 363376276 454220345 726752552 908440690 1453505104 1816881380 2907010208 3633762760 7267525520 14535051040