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1012441311040 = 26515299206803
BaseRepresentation
bin11101011101110100011…
…01000110011101000000
310120210021202221111202211
432232322031012131000
5113041434433423130
62053035322551504
7133101145102615
oct16567215063500
93523252844684
101012441311040
113604127a9035
12144274668594
137461b9a7153
143700690050c
151b508b0aa2a
hexebba346740

1012441311040 has 56 divisors (see below), whose sum is σ = 2411045114400. Its totient is φ = 404948095488.

The previous prime is 1012441311031. The next prime is 1012441311053. The reversal of 1012441311040 is 401131442101.

1012441311040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4792279 + ... + 4999081.

Almost surely, 21012441311040 is an apocalyptic number.

1012441311040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1012441311040 is an abundant number, since it is smaller than the sum of its proper divisors (1398603803360).

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

1012441311040 is a wasteful number, since it uses less digits than its factorization.

1012441311040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 222119 (or 222109 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 22.

Adding to 1012441311040 its reverse (401131442101), we get a palindrome (1413572753141).

The spelling of 1012441311040 in words is "one trillion, twelve billion, four hundred forty-one million, three hundred eleven thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 160 320 15299 30598 61196 76495 122392 152990 206803 244784 305980 413606 489568 611960 827212 979136 1034015 1223920 1654424 2068030 2447840 3308848 4136060 4895680 6617696 8272120 13235392 16544240 33088480 66176960 3163879097 6327758194 12655516388 15819395485 25311032776 31638790970 50622065552 63277581940 101244131104 126555163880 202488262208 253110327760 506220655520 1012441311040