Search a number
-
+
1001424421244 = 221323241887923
BaseRepresentation
bin11101001001010011000…
…11000000000101111100
310112201211222201112002102
432210221203000011330
5112401404122434434
62044014212444232
7132231142063442
oct16445143000574
93481758645072
101001424421244
11356779a84735
121420bb019678
1373584417c50
143667d6b4b92
151b0b183207e
hexe9298c017c

1001424421244 has 72 divisors (see below), whose sum is σ = 2021046436752. Its totient is φ = 431316990720.

The previous prime is 1001424421241. The next prime is 1001424421279. The reversal of 1001424421244 is 4421244241001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1001424421241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 683867 + ... + 1571789.

Almost surely, 21001424421244 is an apocalyptic number.

It is an amenable number.

1001424421244 is an abundant number, since it is smaller than the sum of its proper divisors (1019622015508).

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

1001424421244 is a wasteful number, since it uses less digits than its factorization.

1001424421244 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 888027 (or 888002 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 29.

Adding to 1001424421244 its reverse (4421244241001), we get a palindrome (5422668662245).

The spelling of 1001424421244 in words is "one trillion, one billion, four hundred twenty-four million, four hundred twenty-one thousand, two hundred forty-four".

Divisors: 1 2 4 13 23 26 41 46 52 82 92 164 299 529 533 598 943 1058 1066 1196 1886 2116 2132 3772 6877 12259 13754 21689 24518 27508 43378 49036 86756 281957 563914 887923 1127828 1775846 3551692 11542999 20422229 23085998 36404843 40844458 46171996 72809686 81688916 145619372 265488977 469711267 473262959 530977954 837311389 939422534 946525918 1061955908 1674622778 1878845068 1893051836 3349245556 6106246471 10885048057 12212492942 19258161947 21770096114 24424985884 38516323894 43540192228 77032647788 250356105311 500712210622 1001424421244