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1055444214000 = 243531115991579
BaseRepresentation
bin11110101101111010110…
…00001010000011110000
310201220021201111022201110
433112331120022003300
5114243022204322000
62124510412233320
7136152614536551
oct17267530120360
93656251438643
101055444214000
1137767a81a560
1215067616b840
13786b2c19367
1439125c2c328
151c6c405b850
hexf5bd60a0f0

1055444214000 has 160 divisors (see below), whose sum is σ = 3712093482240. Its totient is φ = 255865248000.

The previous prime is 1055444213981. The next prime is 1055444214007. The reversal of 1055444214000 is 4124445501.

1055444214000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10554442140002 (a number of 25 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1055444214007) 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, 7929790 + ... + 8061789.

It is an arithmetic number, because the mean of its divisors is an integer number (23200584264).

Almost surely, 21055444214000 is an apocalyptic number.

1055444214000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1055444214000 is an abundant number, since it is smaller than the sum of its proper divisors (2656649268240).

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

1055444214000 is a wasteful number, since it uses less digits than its factorization.

1055444214000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15991616 (or 15991600 counting only the distinct ones).

The product of its (nonzero) digits is 12800, while the sum is 30.

Adding to 1055444214000 its reverse (4124445501), we get a palindrome (1059568659501).

The spelling of 1055444214000 in words is "one trillion, fifty-five billion, four hundred forty-four million, two hundred fourteen thousand".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 25 30 33 40 44 48 50 55 60 66 75 80 88 100 110 120 125 132 150 165 176 200 220 240 250 264 275 300 330 375 400 440 500 528 550 600 660 750 825 880 1000 1100 1200 1320 1375 1500 1650 2000 2200 2640 2750 3000 3300 4125 4400 5500 6000 6600 8250 11000 13200 16500 22000 33000 66000 15991579 31983158 47974737 63966316 79957895 95949474 127932632 159915790 175907369 191898948 239873685 255865264 319831580 351814738 383797896 399789475 479747370 527722107 639663160 703629476 767595792 799578950 879536845 959494740 1055444214 1199368425 1279326320 1407258952 1599157900 1759073690 1918989480 1998947375 2110888428 2398736850 2638610535 2814517904 3198315800 3518147380 3837978960 3997894750 4221776856 4397684225 4797473700 5277221070 5996842125 6396631600 7036294760 7995789500 8443553712 8795368450 9594947400 10554442140 11993684250 13193052675 14072589520 15991579000 17590736900 19189894800 21108884280 21988421125 23987368500 26386105350 31983158000 35181473800 42217768560 43976842250 47974737000 52772210700 65965263375 70362947600 87953684500 95949474000 105544421400 131930526750 175907369000 211088842800 263861053500 351814738000 527722107000 1055444214000