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1004101221040 = 24548131260773
BaseRepresentation
bin11101001110010010001…
…10001011101010110000
310112222202112121001002121
432213021012023222300
5112422344403033130
62045135553524024
7132354364361461
oct16471106135260
93488675531077
101004101221040
11357922a64a75
12142727573614
13738bcb6a758
1436854dc8d68
151b1bb832d7a
hexe9c918bab0

1004101221040 has 40 divisors (see below), whose sum is σ = 2334592795248. Its totient is φ = 401630603520.

The previous prime is 1004101221001. The next prime is 1004101221083. The reversal of 1004101221040 is 401221014001.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3720094 + ... + 3980866.

Almost surely, 21004101221040 is an apocalyptic number.

1004101221040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1004101221040 is an abundant number, since it is smaller than the sum of its proper divisors (1330491574208).

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

1004101221040 is a wasteful number, since it uses less digits than its factorization.

1004101221040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 308917 (or 308911 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 1004101221040 its reverse (401221014001), we get a palindrome (1405322235041).

The spelling of 1004101221040 in words is "one trillion, four billion, one hundred one million, two hundred twenty-one thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 48131 96262 192524 240655 260773 385048 481310 521546 770096 962620 1043092 1303865 1925240 2086184 2607730 3850480 4172368 5215460 10430920 20861840 12551265263 25102530526 50205061052 62756326315 100410122104 125512652630 200820244208 251025305260 502050610520 1004101221040