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1242523021440 = 2735859753373
BaseRepresentation
bin10010000101001100001…
…001001011000010000000
311101210011120021102020110
4102011030021023002000
5130324141343141230
62350450204311320
7155524610264331
oct22051411130200
94353146242213
101242523021440
11439a50942518
12180986542540
139022829a15c
14441d1c1a288
15224c2e494b0
hex1214c24b080

1242523021440 has 128 divisors (see below), whose sum is σ = 3965158036800. Its totient is φ = 330953306112.

The previous prime is 1242523021409. The next prime is 1242523021543. The reversal of 1242523021440 is 441203252421.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 1242523021398 and 1242523021407.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1272594 + ... + 2025966.

Almost surely, 21242523021440 is an apocalyptic number.

1242523021440 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 1242523021440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1982579018400).

1242523021440 is an abundant number, since it is smaller than the sum of its proper divisors (2722635015360).

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

1242523021440 is an equidigital number, since it uses as much as digits as its factorization.

1242523021440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 754254 (or 754242 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 30.

Adding to 1242523021440 its reverse (441203252421), we get a palindrome (1683726273861).

The spelling of 1242523021440 in words is "one trillion, two hundred forty-two billion, five hundred twenty-three million, twenty-one thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 320 384 480 640 859 960 1718 1920 2577 3436 4295 5154 6872 8590 10308 12885 13744 17180 20616 25770 27488 34360 41232 51540 54976 68720 82464 103080 109952 137440 164928 206160 274880 329856 412320 549760 753373 824640 1506746 1649280 2260119 3013492 3766865 4520238 6026984 7533730 9040476 11300595 12053968 15067460 18080952 22601190 24107936 30134920 36161904 45202380 48215872 60269840 72323808 90404760 96431744 120539680 144647616 180809520 241079360 289295232 361619040 482158720 647147407 723238080 1294294814 1446476160 1941442221 2588589628 3235737035 3882884442 5177179256 6471474070 7765768884 9707211105 10354358512 12942948140 15531537768 19414422210 20708717024 25885896280 31063075536 38828844420 41417434048 51771792560 62126151072 77657688840 82834868096 103543585120 124252302144 155315377680 207087170240 248504604288 310630755360 414174340480 621261510720 1242523021440