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1341402144 = 253372411567
BaseRepresentation
bin100111111110100…
…0010110000100000
310110111002021210220
41033331002300200
510221344332034
6341034523040
745145505265
oct11775026040
93414067726
101341402144
11629206315
12315296480
13184ba2aa4
14ca21b26c
157cb6c749
hex4ff42c20

1341402144 has 96 divisors (see below), whose sum is σ = 3633670656. Its totient is φ = 432967680.

The previous prime is 1341402133. The next prime is 1341402149. The reversal of 1341402144 is 4412041431.

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

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (1341402149) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 855249 + ... + 856815.

It is an arithmetic number, because the mean of its divisors is an integer number (37850736).

Almost surely, 21341402144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1341402144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1816835328).

1341402144 is an abundant number, since it is smaller than the sum of its proper divisors (2292268512).

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

1341402144 is a wasteful number, since it uses less digits than its factorization.

1341402144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1858 (or 1850 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 1341402144 is about 36625.1572556351. The cubic root of 1341402144 is about 1102.8581714808.

Adding to 1341402144 its reverse (4412041431), we get a palindrome (5753443575).

The spelling of 1341402144 in words is "one billion, three hundred forty-one million, four hundred two thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 37 48 74 96 111 148 222 241 296 444 482 592 723 888 964 1184 1446 1567 1776 1928 2892 3134 3552 3856 4701 5784 6268 7712 8917 9402 11568 12536 17834 18804 23136 25072 26751 35668 37608 50144 53502 57979 71336 75216 107004 115958 142672 150432 173937 214008 231916 285344 347874 377647 428016 463832 695748 755294 856032 927664 1132941 1391496 1510588 1855328 2265882 2782992 3021176 4531764 5565984 6042352 9063528 12084704 13972939 18127056 27945878 36254112 41918817 55891756 83837634 111783512 167675268 223567024 335350536 447134048 670701072 1341402144