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1404103015120 = 245137398832069
BaseRepresentation
bin10100011011101011000…
…011111011101011010000
311222020020100112120002211
4110123223003323223100
5141001100332440440
62553011440321504
7203304660464161
oct24335303735320
94866210476084
101404103015120
114a1527602283
121a815b313294
13a2538986580
144bd5d4d7768
15267cd482eea
hex146eb0fbad0

1404103015120 has 160 divisors (see below), whose sum is σ = 3526105564800. Its totient is φ = 516900206592.

The previous prime is 1404103015111. The next prime is 1404103015127. The reversal of 1404103015120 is 215103014041.

It is a super-2 number, since 2×14041030151202 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1404103015091 and 1404103015100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1404103015127) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 678637446 + ... + 678639514.

It is an arithmetic number, because the mean of its divisors is an integer number (22038159780).

Almost surely, 21404103015120 is an apocalyptic number.

1404103015120 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 1404103015120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1763052782400).

1404103015120 is an abundant number, since it is smaller than the sum of its proper divisors (2122002549680).

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

1404103015120 is a wasteful number, since it uses less digits than its factorization.

1404103015120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3717 (or 3711 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 22.

Adding to 1404103015120 its reverse (215103014041), we get a palindrome (1619206029161).

The spelling of 1404103015120 in words is "one trillion, four hundred four billion, one hundred three million, fifteen thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 104 130 208 260 520 739 883 1040 1478 1766 2069 2956 3532 3695 4138 4415 5912 7064 7390 8276 8830 9607 10345 11479 11824 14128 14780 16552 17660 19214 20690 22958 26897 29560 33104 35320 38428 41380 45916 48035 53794 57395 59120 70640 76856 82760 91832 96070 107588 114790 134485 153712 165520 183664 192140 215176 229580 268970 384280 430352 459160 537940 652537 768560 918320 1075880 1305074 1528991 1826927 2151760 2610148 3057982 3262685 3653854 5220296 6115964 6525370 7307708 7644955 8482981 9134635 10440592 12231928 13050740 14615416 15289910 16965962 18269270 19876883 23750051 24463856 26101480 29230832 30579820 33931924 36538540 39753766 42414905 47500102 52202960 61159640 67863848 73077080 79507532 84829810 95000204 99384415 118750255 122319280 135727696 146154160 159015064 169659620 190000408 198768830 237500510 318030128 339319240 380000816 397537660 475001020 678638480 795075320 950002040 1350099053 1590150640 1900004080 2700198106 5400396212 6750495265 10800792424 13500990530 17551287689 21601584848 27001981060 35102575378 54003962120 70205150756 87756438445 108007924240 140410301512 175512876890 280820603024 351025753780 702051507560 1404103015120