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31014055440 = 2433547305497
BaseRepresentation
bin11100111000100101…
…001110111000010000
32222001102102020221000
4130320211032320100
51002004044233230
622125254502000
72145362056464
oct347045167020
988042366830
1031014055440
1112175697985
126016664900
132c034b39c4
141702db44a4
15c17b84b60
hex73894ee10

31014055440 has 160 divisors (see below), whose sum is σ = 109099445760. Its totient is φ = 8094422016.

The previous prime is 31014055399. The next prime is 31014055441. The reversal of 31014055440 is 4455041013.

It is a happy number.

31014055440 is a `hidden beast` number, since 3 + 101 + 4 + 0 + 554 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (31014055441) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 51229 + ... + 254268.

It is an arithmetic number, because the mean of its divisors is an integer number (681871536).

Almost surely, 231014055440 is an apocalyptic number.

31014055440 is a gapful number since it is divisible by the number (30) 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 31014055440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54549722880).

31014055440 is an abundant number, since it is smaller than the sum of its proper divisors (78085390320).

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

31014055440 is a wasteful number, since it uses less digits than its factorization.

31014055440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 305566 (or 305554 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

Adding to 31014055440 its reverse (4455041013), we get a palindrome (35469096453).

The spelling of 31014055440 in words is "thirty-one billion, fourteen million, fifty-five thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 47 48 54 60 72 80 90 94 108 120 135 141 144 180 188 216 235 240 270 282 360 376 423 432 470 540 564 705 720 752 846 940 1080 1128 1269 1410 1692 1880 2115 2160 2256 2538 2820 3384 3760 4230 5076 5640 6345 6768 8460 10152 11280 12690 16920 20304 25380 33840 50760 101520 305497 610994 916491 1221988 1527485 1832982 2443976 2749473 3054970 3665964 4582455 4887952 5498946 6109940 7331928 8248419 9164910 10997892 12219880 13747365 14358359 14663856 16496838 18329820 21995784 24439760 27494730 28716718 32993676 36659640 41242095 43075077 43991568 54989460 57433436 65987352 71791795 73319280 82484190 86150154 109978920 114866872 129225231 131974704 143583590 164968380 172300308 215375385 219957840 229733744 258450462 287167180 329936760 344600616 387675693 430750770 516900924 574334360 646126155 659873520 689201232 775351386 861501540 1033801848 1148668720 1292252310 1550702772 1723003080 1938378465 2067603696 2584504620 3101405544 3446006160 3876756930 5169009240 6202811088 7753513860 10338018480 15507027720 31014055440