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1303400054040 = 233577121854461
BaseRepresentation
bin10010111101111000101…
…100100111110100011000
311121121022012011002112120
4102331320230213310120
5132323330403212130
62434435042341240
7163111316442360
oct22757054476430
94547265132476
101303400054040
11462850395107
1219073605a820
1395baa63ba36
1447128d6b9a0
1523d8768d910
hex12f78b27d18

1303400054040 has 128 divisors (see below), whose sum is σ = 4531741240320. Its totient is φ = 293723942400.

The previous prime is 1303400054027. The next prime is 1303400054083. The reversal of 1303400054040 is 404500043031.

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 1303400054040.

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, 10867591 + ... + 10986870.

It is an arithmetic number, because the mean of its divisors is an integer number (35404228440).

Almost surely, 21303400054040 is an apocalyptic number.

1303400054040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1303400054040 is an abundant number, since it is smaller than the sum of its proper divisors (3228341186280).

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

1303400054040 is a wasteful number, since it uses less digits than its factorization.

1303400054040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21854553 (or 21854549 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

Adding to 1303400054040 its reverse (404500043031), we get a palindrome (1707900097071).

The spelling of 1303400054040 in words is "one trillion, three hundred three billion, four hundred million, fifty-four thousand, forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 71 84 105 120 140 142 168 210 213 280 284 355 420 426 497 568 710 840 852 994 1065 1420 1491 1704 1988 2130 2485 2840 2982 3976 4260 4970 5964 7455 8520 9940 11928 14910 19880 29820 59640 21854461 43708922 65563383 87417844 109272305 131126766 152981227 174835688 218544610 262253532 305962454 327816915 437089220 458943681 524507064 611924908 655633830 764906135 874178440 917887362 1223849816 1311267660 1529812270 1551666731 1835774724 2294718405 2622535320 3059624540 3103333462 3671549448 4589436810 4655000193 6119249080 6206666924 7758333655 9178873620 9310000386 10861667117 12413333848 15516667310 18357747240 18620000772 21723334234 23275000965 31033334620 32585001351 37240001544 43446668468 46550001930 54308335585 62066669240 65170002702 86893336936 93100003860 108616671170 130340005404 162925006755 186200007720 217233342340 260680010808 325850013510 434466684680 651700027020 1303400054040