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2134322131144 = 2371272816011777
BaseRepresentation
bin11111000011101111100…
…000110011000011001000
321120001001120122002220011
4133003233200303003020
5234432042431144034
64312254414241304
7310125330531610
oct37035740630310
97501046562804
102134322131144
11753185224025
122a57901b6234
1312635ba06848
1475431da3a40
153a7ba4e7864
hex1f0ef8330c8

2134322131144 has 128 divisors (see below), whose sum is σ = 4636268421120. Its totient is φ = 902264832000.

The previous prime is 2134322131141. The next prime is 2134322131153. The reversal of 2134322131144 is 4411312234312.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (2134322131141) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1201080784 + ... + 1201082560.

It is an arithmetic number, because the mean of its divisors is an integer number (36220847040).

Almost surely, 22134322131144 is an apocalyptic number.

It is an amenable number.

2134322131144 is an abundant number, since it is smaller than the sum of its proper divisors (2501946289976).

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

2134322131144 is a wasteful number, since it uses less digits than its factorization.

2134322131144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2799 (or 2795 counting only the distinct ones).

The product of its digits is 13824, while the sum is 31.

Adding to 2134322131144 its reverse (4411312234312), we get a palindrome (6545634365456).

The spelling of 2134322131144 in words is "two trillion, one hundred thirty-four billion, three hundred twenty-two million, one hundred thirty-one thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 14 28 56 127 254 281 508 562 601 889 1016 1124 1202 1777 1778 1967 2248 2404 3554 3556 3934 4207 4808 7108 7112 7868 8414 12439 14216 15736 16828 24878 33656 35687 49756 71374 76327 99512 142748 152654 168881 225679 249809 285496 305308 337762 451358 499337 499618 534289 610616 675524 902716 998674 999236 1067977 1068578 1182167 1351048 1579753 1805432 1997348 1998472 2135954 2137156 2364334 3159506 3495359 3994696 4271908 4274312 4728668 6319012 6990718 7475839 8543816 9457336 12638024 13981436 14951678 21447887 27962872 29903356 42895774 59806712 63415799 85791548 126831598 135633079 150135209 171583096 253663196 271266158 300101537 300270418 443910593 507326392 542532316 600203074 600540836 887821186 949431553 1085064632 1200406148 1201081672 1775642372 1898863106 2100710759 2400812296 3551284744 3797726212 4201421518 7595452424 8402843036 16805686072 38112895199 76225790398 152451580796 266790266393 304903161592 533580532786 1067161065572 2134322131144