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1428585872880 = 2435107503110597
BaseRepresentation
bin10100110010011110010…
…110100111110111110000
312001120102121100121010110
4110302132112213313300
5141401220440413010
63012141105101320
7205132455364215
oct24623626476760
95046377317113
101428585872880
11500950533721
121b0a52627840
13a493b01525a
144d202d05b0c
1527262a53120
hex14c9e5a7df0

1428585872880 has 160 divisors (see below), whose sum is σ = 4478932329984. Its totient is φ = 376642198528.

The previous prime is 1428585872873. The next prime is 1428585872927. The reversal of 1428585872880 is 882785858241.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12861742 + ... + 12972338.

Almost surely, 21428585872880 is an apocalyptic number.

1428585872880 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 1428585872880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2239466164992).

1428585872880 is an abundant number, since it is smaller than the sum of its proper divisors (3050346457104).

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

1428585872880 is a wasteful number, since it uses less digits than its factorization.

1428585872880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111223 (or 111217 counting only the distinct ones).

The product of its (nonzero) digits is 91750400, while the sum is 66.

The spelling of 1428585872880 in words is "one trillion, four hundred twenty-eight billion, five hundred eighty-five million, eight hundred seventy-two thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 107 120 214 240 321 428 503 535 642 856 1006 1070 1284 1509 1605 1712 2012 2140 2515 2568 3018 3210 4024 4280 5030 5136 6036 6420 7545 8048 8560 10060 12072 12840 15090 20120 24144 25680 30180 40240 53821 60360 107642 110597 120720 161463 215284 221194 269105 322926 331791 430568 442388 538210 552985 645852 663582 807315 861136 884776 1076420 1105970 1291704 1327164 1614630 1658955 1769552 2152840 2211940 2583408 2654328 3229260 3317910 4305680 4423880 5308656 6458520 6635820 8847760 11833879 12917040 13271640 23667758 26543280 35501637 47335516 55630291 59169395 71003274 94671032 111260582 118338790 142006548 166890873 177508185 189342064 222521164 236677580 278151455 284013096 333781746 355016370 445042328 473355160 556302910 568026192 667563492 710032740 834454365 890084656 946710320 1112605820 1335126984 1420065480 1668908730 2225211640 2670253968 2840130960 3337817460 4450423280 5952441137 6675634920 11904882274 13351269840 17857323411 23809764548 29762205685 35714646822 47619529096 59524411370 71429293644 89286617055 95239058192 119048822740 142858587288 178573234110 238097645480 285717174576 357146468220 476195290960 714292936440 1428585872880