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1055132041440 = 25354153614433
BaseRepresentation
bin11110101101010101100…
…01010100000011100000
310201212110222002022110210
433112222301110003200
5114241402300311230
62124415421254120
7136142104241511
oct17265261240340
93655428068423
101055132041440
1137752a591704
121505a9704340
1378663348b79
14390d65aaa08
151c6a6945eb0
hexf5aac540e0

1055132041440 has 96 divisors (see below), whose sum is σ = 3404731016736. Its totient is φ = 274505891840.

The previous prime is 1055132041423. The next prime is 1055132041459. The reversal of 1055132041440 is 441402315501.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×10551320414402 (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 junction number, because it is equal to n+sod(n) for n = 1055132041398 and 1055132041407.

It is a congruent number.

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, 26787537 + ... + 26826896.

It is an arithmetic number, because the mean of its divisors is an integer number (35465948091).

Almost surely, 21055132041440 is an apocalyptic number.

1055132041440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1055132041440 is an abundant number, since it is smaller than the sum of its proper divisors (2349598975296).

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

1055132041440 is a wasteful number, since it uses less digits than its factorization.

1055132041440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53614492 (or 53614484 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 30.

Adding to 1055132041440 its reverse (441402315501), we get a palindrome (1496534356941).

The spelling of 1055132041440 in words is "one trillion, fifty-five billion, one hundred thirty-two million, forty-one thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 41 48 60 80 82 96 120 123 160 164 205 240 246 328 410 480 492 615 656 820 984 1230 1312 1640 1968 2460 3280 3936 4920 6560 9840 19680 53614433 107228866 160843299 214457732 268072165 321686598 428915464 536144330 643373196 804216495 857830928 1072288660 1286746392 1608432990 1715661856 2144577320 2198191753 2573492784 3216865980 4289154640 4396383506 5146985568 6433731960 6594575259 8578309280 8792767012 10990958765 12867463920 13189150518 17585534024 21981917530 25734927840 26378301036 32972876295 35171068048 43963835060 52756602072 65945752590 70342136096 87927670120 105513204144 131891505180 175855340240 211026408288 263783010360 351710680480 527566020720 1055132041440