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20133151440 = 2435550715233
BaseRepresentation
bin10010110000000001…
…111000001011010000
31220222010002001200120
4102300001320023100
5312213041321230
613125443150240
71311626651343
oct226001701320
956863061616
1020133151440
1185a1703736
123a9a675380
131b8b15797c
14d8dc6645a
157cc7bd310
hex4b00782d0

20133151440 has 80 divisors (see below), whose sum is σ = 62428200768. Its totient is φ = 5367513088.

The previous prime is 20133151439. The next prime is 20133151457. The reversal of 20133151440 is 4415133102.

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 20133151440.

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, 1314064 + ... + 1329296.

Almost surely, 220133151440 is an apocalyptic number.

20133151440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20133151440 is an abundant number, since it is smaller than the sum of its proper divisors (42295049328).

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

20133151440 is a wasteful number, since it uses less digits than its factorization.

20133151440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20756 (or 20750 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

Adding to 20133151440 its reverse (4415133102), we get a palindrome (24548284542).

The spelling of 20133151440 in words is "twenty billion, one hundred thirty-three million, one hundred fifty-one thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 5507 11014 15233 16521 22028 27535 30466 33042 44056 45699 55070 60932 66084 76165 82605 88112 91398 110140 121864 132168 152330 165210 182796 220280 228495 243728 264336 304660 330420 365592 440560 456990 609320 660840 731184 913980 1218640 1321680 1827960 3655920 83888131 167776262 251664393 335552524 419440655 503328786 671105048 838881310 1006657572 1258321965 1342210096 1677762620 2013315144 2516643930 3355525240 4026630288 5033287860 6711050480 10066575720 20133151440