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1484146444060 = 2257219223357431
BaseRepresentation
bin10101100110001110000…
…001011000011100011100
312020212211201101001102001
4111212032001120130130
5143304012442202220
63053450225012044
7212140350424600
oct25461601303434
95225751331361
101484146444060
11522471a81145
121bb779784024
13a9c53ab5887
1451b93d39500
152891567e80a
hex1598e05871c

1484146444060 has 144 divisors (see below), whose sum is σ = 3833501091840. Its totient is φ = 479905534080.

The previous prime is 1484146444057. The next prime is 1484146444073. The reversal of 1484146444060 is 604446414841.

It is a self number, because there is not a number n which added to its sum of digits gives 1484146444060.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3973545 + ... + 4330975.

It is an arithmetic number, because the mean of its divisors is an integer number (26621535360).

Almost surely, 21484146444060 is an apocalyptic number.

1484146444060 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 1484146444060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1916750545920).

1484146444060 is an abundant number, since it is smaller than the sum of its proper divisors (2349354647780).

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

1484146444060 is a wasteful number, since it uses less digits than its factorization.

1484146444060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 357696 (or 357687 counting only the distinct ones).

The product of its (nonzero) digits is 1179648, while the sum is 46.

The spelling of 1484146444060 in words is "one trillion, four hundred eighty-four billion, one hundred forty-six million, four hundred forty-four thousand, sixty".

Divisors: 1 2 4 5 7 10 14 19 20 28 35 38 49 70 76 95 98 133 140 190 196 223 245 266 380 446 490 532 665 892 931 980 1115 1330 1561 1862 2230 2660 3122 3724 4237 4460 4655 6244 7805 8474 9310 10927 15610 16948 18620 21185 21854 29659 31220 42370 43708 54635 59318 84740 109270 118636 148295 207613 218540 296590 357431 415226 593180 714862 830452 1038065 1429724 1787155 2076130 2502017 3574310 4152260 5004034 6791189 7148620 10008068 12510085 13582378 17514119 25020170 27164756 33955945 35028238 47538323 50040340 67911890 70056476 79707113 87570595 95076646 135823780 159414226 175141190 190153292 237691615 318828452 332768261 350282380 398535565 475383230 557949791 665536522 797071130 950766460 1115899582 1331073044 1514435147 1594142260 1663841305 2231799164 2789748955 3028870294 3327682610 3905648537 5579497910 6057740588 6655365220 7572175735 7811297074 10601046029 11158995820 15144351470 15622594148 19528242685 21202092058 30288702940 39056485370 42404184116 53005230145 74207322203 78112970740 106010460290 148414644406 212020920580 296829288812 371036611015 742073222030 1484146444060