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19128931440 = 2435614872683
BaseRepresentation
bin10001110100001011…
…000101010001110000
31211101010110101211020
4101310023011101300
5303134001301230
612442051215440
71245014143263
oct216413052160
954333411736
1019128931440
118126868353
12385a2a7580
131a5b0a0a58
14cd673acda
1576e556810
hex4742c5470

19128931440 has 160 divisors (see below), whose sum is σ = 60418085376. Its totient is φ = 5005255680.

The previous prime is 19128931429. The next prime is 19128931457. The reversal of 19128931440 is 4413982191.

It is a junction number, because it is equal to n+sod(n) for n = 19128931392 and 19128931401.

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, 7128339 + ... + 7131021.

Almost surely, 219128931440 is an apocalyptic number.

19128931440 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 19128931440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30209042688).

19128931440 is an abundant number, since it is smaller than the sum of its proper divisors (41289153936).

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

19128931440 is a wasteful number, since it uses less digits than its factorization.

19128931440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3247 (or 3241 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 42.

The spelling of 19128931440 in words is "nineteen billion, one hundred twenty-eight million, nine hundred thirty-one thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 61 80 120 122 183 240 244 305 366 487 488 610 732 915 974 976 1220 1461 1464 1830 1948 2435 2440 2683 2922 2928 3660 3896 4870 4880 5366 5844 7305 7320 7792 8049 9740 10732 11688 13415 14610 14640 16098 19480 21464 23376 26830 29220 29707 32196 38960 40245 42928 53660 58440 59414 64392 80490 89121 107320 116880 118828 128784 148535 160980 163663 178242 214640 237656 297070 321960 327326 356484 445605 475312 490989 594140 643920 654652 712968 818315 891210 981978 1188280 1306621 1309304 1425936 1636630 1782420 1963956 2376560 2454945 2613242 2618608 3273260 3564840 3919863 3927912 4909890 5226484 6533105 6546520 7129680 7839726 7855824 9819780 10452968 13066210 13093040 15679452 19599315 19639560 20905936 26132420 31358904 39198630 39279120 52264840 62717808 78397260 79703881 104529680 156794520 159407762 239111643 313589040 318815524 398519405 478223286 637631048 797038810 956446572 1195558215 1275262096 1594077620 1912893144 2391116430 3188155240 3825786288 4782232860 6376310480 9564465720 19128931440