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1042101300440 = 235733117011637
BaseRepresentation
bin11110010101000100001…
…00111110110011011000
310200121211211110002021202
433022202010332303120
5114033210413103230
62114422411253332
7135201145621124
oct17124204766330
93617754402252
101042101300440
11371a53020072
12149b7174a248
13773677a2b35
143861bb1c584
151c192970a45
hexf2a213ecd8

1042101300440 has 128 divisors (see below), whose sum is σ = 2389350337920. Its totient is φ = 408973824000.

The previous prime is 1042101300437. The next prime is 1042101300521. The reversal of 1042101300440 is 440031012401.

1042101300440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 636591302 + ... + 636592938.

It is an arithmetic number, because the mean of its divisors is an integer number (18666799515).

Almost surely, 21042101300440 is an apocalyptic number.

1042101300440 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 1042101300440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1194675168960).

1042101300440 is an abundant number, since it is smaller than the sum of its proper divisors (1347249037480).

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

1042101300440 is a wasteful number, since it uses less digits than its factorization.

1042101300440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2733 (or 2729 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 1042101300440 its reverse (440031012401), we get a palindrome (1482132312841).

The spelling of 1042101300440 in words is "one trillion, forty-two billion, one hundred one million, three hundred thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 40 73 146 292 311 365 584 622 701 730 1244 1402 1460 1555 1637 2488 2804 2920 3110 3274 3505 5608 6220 6548 7010 8185 12440 13096 14020 16370 22703 28040 32740 45406 51173 65480 90812 102346 113515 119501 181624 204692 218011 227030 239002 255865 409384 436022 454060 478004 509107 511730 597505 872044 908120 956008 1018214 1023460 1090055 1147537 1195010 1744088 2036428 2046920 2180110 2295074 2390020 2545535 4072856 4360220 4590148 4780040 5091070 5737685 8720440 9180296 10182140 11475370 15914803 20364280 22950740 31829606 37164811 45901480 63659212 74329622 79574015 83770201 127318424 148659244 159148030 167540402 185824055 297318488 318296060 335080804 356884007 371648110 418851005 636592120 670161608 713768014 743296220 837702010 1427536028 1486592440 1675404020 1784420035 2855072056 3350808040 3568840070 7137680140 14275360280 26052532511 52105065022 104210130044 130262662555 208420260088 260525325110 521050650220 1042101300440