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1341413040 = 243511539587
BaseRepresentation
bin100111111110100…
…0101011010110000
310110111002211202110
41033331011122300
510221400204130
6341035045320
745145552122
oct11775053260
93414084673
101341413040
11629213520
123152a0840
13184ba7a36
14ca221212
157cb70ab0
hex4ff456b0

1341413040 has 160 divisors (see below), whose sum is σ = 4622489856. Its totient is φ = 319022080.

The previous prime is 1341413039. The next prime is 1341413057. The reversal of 1341413040 is 403141431.

It is a junction number, because it is equal to n+sod(n) for n = 1341412998 and 1341413016.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 135127 + ... + 144713.

Almost surely, 21341413040 is an apocalyptic number.

1341413040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1341413040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2311244928).

1341413040 is an abundant number, since it is smaller than the sum of its proper divisors (3281076816).

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

1341413040 is a wasteful number, since it uses less digits than its factorization.

1341413040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9667 (or 9661 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 1341413040 is about 36625.3060055476. The cubic root of 1341413040 is about 1102.8611575876.

Adding to 1341413040 its reverse (403141431), we get a palindrome (1744554471).

The spelling of 1341413040 in words is "one billion, three hundred forty-one million, four hundred thirteen thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 33 40 44 48 53 55 60 66 80 88 106 110 120 132 159 165 176 212 220 240 264 265 318 330 424 440 528 530 583 636 660 795 848 880 1060 1166 1272 1320 1590 1749 2120 2332 2544 2640 2915 3180 3498 4240 4664 5830 6360 6996 8745 9328 9587 11660 12720 13992 17490 19174 23320 27984 28761 34980 38348 46640 47935 57522 69960 76696 95870 105457 115044 139920 143805 153392 191740 210914 230088 287610 316371 383480 421828 460176 508111 527285 575220 632742 766960 843656 1016222 1054570 1150440 1265484 1524333 1581855 1687312 2032444 2109140 2300880 2530968 2540555 3048666 3163710 4064888 4218280 5061936 5081110 5589221 6097332 6327420 7621665 8129776 8436560 10162220 11178442 12194664 12654840 15243330 16767663 20324440 22356884 24389328 25309680 27946105 30486660 33535326 40648880 44713768 55892210 60973320 67070652 83838315 89427536 111784420 121946640 134141304 167676630 223568840 268282608 335353260 447137680 670706520 1341413040