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1427419477080 = 233453533124699
BaseRepresentation
bin10100110001011000110…
…101001011010001011000
312001110102022120112220000
4110301120311023101120
5141341323341231310
63011425241133000
7205061533235322
oct24613065132130
95043368515800
101427419477080
1150040209a253
121b0787a8a160
13a47b348841c
144d132042612
15271e54544c0
hex14c58d4b458

1427419477080 has 160 divisors (see below), whose sum is σ = 4799111922000. Its totient is φ = 380534402304.

The previous prime is 1427419477061. The next prime is 1427419477103. The reversal of 1427419477080 is 807749147241.

1427419477080 is a `hidden beast` number, since 1 + 42 + 7 + 419 + 47 + 70 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 11384571 + ... + 11509269.

Almost surely, 21427419477080 is an apocalyptic number.

1427419477080 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 1427419477080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2399555961000).

1427419477080 is an abundant number, since it is smaller than the sum of its proper divisors (3371692444920).

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

1427419477080 is a wasteful number, since it uses less digits than its factorization.

1427419477080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128255 (or 128242 counting only the distinct ones).

The product of its (nonzero) digits is 3161088, while the sum is 54.

The spelling of 1427419477080 in words is "one trillion, four hundred twenty-seven billion, four hundred nineteen million, four hundred seventy-seven thousand, eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 81 90 108 120 135 162 180 216 270 324 360 405 540 648 810 1080 1620 3240 3533 7066 10599 14132 17665 21198 28264 31797 35330 42396 52995 63594 70660 84792 95391 105990 124699 127188 141320 158985 190782 211980 249398 254376 286173 317970 374097 381564 423960 476955 498796 572346 623495 635940 748194 763128 953910 997592 1122291 1144692 1246990 1271880 1430865 1496388 1870485 1907820 2244582 2289384 2493980 2861730 2992776 3366873 3740970 3815640 4489164 4987960 5611455 5723460 6733746 7481940 8978328 10100619 11222910 11446920 13467492 14963880 16834365 20201238 22445820 26934984 33668730 40402476 44891640 50503095 67337460 80804952 101006190 134674920 202012380 404024760 440561567 881123134 1321684701 1762246268 2202807835 2643369402 3524492536 3965054103 4405615670 5286738804 6608423505 7930108206 8811231340 10573477608 11895162309 13216847010 15860216412 17622462680 19825270515 23790324618 26433694020 31720432824 35685486927 39650541030 47580649236 52867388040 59475811545 71370973854 79301082060 95161298472 118951623090 142741947708 158602164120 178427434635 237903246180 285483895416 356854869270 475806492360 713709738540 1427419477080