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1010144140000 = 255461827987
BaseRepresentation
bin11101011001100010100…
…10000101101011100000
310120120100200102010111221
432230301102011223200
5113022233344440000
62052015342344424
7132660212343142
oct16546122055340
93516320363457
101010144140000
1135a44403a476
1214393328b114
1374343ab2848
1436c697aac92
151b4220e761a
hexeb31485ae0

1010144140000 has 120 divisors (see below), whose sum is σ = 2525848600968. Its totient is φ = 397433280000.

The previous prime is 1010144139989. The next prime is 1010144140043. The reversal of 1010144140000 is 414410101.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 806007 + ... + 1633993.

Almost surely, 21010144140000 is an apocalyptic number.

1010144140000 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 1010144140000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1262924300484).

1010144140000 is an abundant number, since it is smaller than the sum of its proper divisors (1515704460968).

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

1010144140000 is an frugal number, since it uses more digits than its factorization.

1010144140000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 828078 (or 828055 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 1010144140000 its reverse (414410101), we get a palindrome (1010558550101).

The spelling of 1010144140000 in words is "one trillion, ten billion, one hundred forty-four million, one hundred forty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 61 80 100 122 125 160 200 244 250 305 400 488 500 610 625 800 976 1000 1220 1250 1525 1952 2000 2440 2500 3050 4000 4880 5000 6100 7625 9760 10000 12200 15250 20000 24400 30500 38125 48800 61000 76250 122000 152500 244000 305000 610000 827987 1220000 1655974 3311948 4139935 6623896 8279870 13247792 16559740 20699675 26495584 33119480 41399350 50507207 66238960 82798700 101014414 103498375 132477920 165597400 202028828 206996750 252536035 331194800 404057656 413993500 505072070 517491875 662389600 808115312 827987000 1010144140 1034983750 1262680175 1616230624 1655974000 2020288280 2069967500 2525360350 3311948000 4040576560 4139935000 5050720700 6313400875 8081153120 8279870000 10101441400 12626801750 16559740000 20202882800 25253603500 31567004375 40405765600 50507207000 63134008750 101014414000 126268017500 202028828000 252536035000 505072070000 1010144140000