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30455085665840 = 24511611667340339
BaseRepresentation
bin1101110110010111000001…
…00100000000111000110000
310222211110220021122220002212
412323023200210000320300
512442434003412301330
6144434512340231252
76262210261622123
oct673134044007060
9128743807586085
1030455085665840
119781a24994520
1234ba49669b528
1313cbb96341124
147740694803ba
1537c317791295
hex1bb2e0900e30

30455085665840 has 160 divisors (see below), whose sum is σ = 78558814414080. Its totient is φ = 10886459673600.

The previous prime is 30455085665831. The next prime is 30455085665897. The reversal of 30455085665840 is 4856658055403.

It is a super-2 number, since 2×304550856658402 (a number of 28 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 30455085665840.

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, 89314391 + ... + 89654729.

It is an arithmetic number, because the mean of its divisors is an integer number (490992590088).

Almost surely, 230455085665840 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30455085665840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39279407207040).

30455085665840 is an abundant number, since it is smaller than the sum of its proper divisors (48103728748240).

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

30455085665840 is a wasteful number, since it uses less digits than its factorization.

30455085665840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 342091 (or 342085 counting only the distinct ones).

The product of its (nonzero) digits is 69120000, while the sum is 59.

The spelling of 30455085665840 in words is "thirty trillion, four hundred fifty-five billion, eighty-five million, six hundred sixty-five thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 61 80 88 110 122 176 220 244 305 440 488 610 671 880 976 1220 1342 1667 2440 2684 3334 3355 4880 5368 6668 6710 8335 10736 13336 13420 16670 18337 26672 26840 33340 36674 53680 66680 73348 91685 101687 133360 146696 183370 203374 293392 340339 366740 406748 508435 680678 733480 813496 1016870 1118557 1361356 1466960 1626992 1701695 2033740 2237114 2722712 3403390 3743729 4067480 4474228 5445424 5592785 6806780 7487458 8134960 8948456 11185570 13613560 14974916 17896912 18718645 20760679 22371140 27227120 29949832 37437290 41521358 44742280 59899664 74874580 83042716 89484560 103803395 149749160 166085432 207606790 228367469 299498320 332170864 415213580 456734938 567345113 830427160 913469876 1134690226 1141837345 1660854320 1826939752 2269380452 2283674690 2836725565 3653879504 4538760904 4567349380 5673451130 6240796243 9077521808 9134698760 11346902260 12481592486 18269397520 22693804520 24963184972 31203981215 34608051893 45387609040 49926369944 62407962430 69216103786 99852739888 124815924860 138432207572 173040259465 249631849720 276864415144 346080518930 380688570823 499263699440 553728830288 692161037860 761377141646 1384322075720 1522754283292 1903442854115 2768644151440 3045508566584 3806885708230 6091017133168 7613771416460 15227542832920 30455085665840