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1411224140832 = 253112946082293
BaseRepresentation
bin10100100010010011100…
…000110111110000100000
311222220121122012020010120
4110202103200313300200
5141110141340001312
63000150223000240
7203646310163502
oct24422340676040
94886548166116
101411224140832
114a4551267440
121a9608139080
13a31020bb91c
144c437183d72
1526a9872628c
hex14893837c20

1411224140832 has 96 divisors (see below), whose sum is σ = 4180585711680. Its totient is φ = 412897336320.

The previous prime is 1411224140831. The next prime is 1411224140863. The reversal of 1411224140832 is 2380414221141.

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 (33).

It is a junction number, because it is equal to n+sod(n) for n = 1411224140793 and 1411224140802.

It is not an unprimeable number, because it can be changed into a prime (1411224140831) 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, 23010523 + ... + 23071770.

It is an arithmetic number, because the mean of its divisors is an integer number (43547767830).

Almost surely, 21411224140832 is an apocalyptic number.

1411224140832 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1411224140832 is an abundant number, since it is smaller than the sum of its proper divisors (2769361570848).

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

1411224140832 is a wasteful number, since it uses less digits than its factorization.

1411224140832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46082346 (or 46082338 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 33.

Adding to 1411224140832 its reverse (2380414221141), we get a palindrome (3791638361973).

The spelling of 1411224140832 in words is "one trillion, four hundred eleven billion, two hundred twenty-four million, one hundred forty thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 29 32 33 44 48 58 66 87 88 96 116 132 174 176 232 264 319 348 352 464 528 638 696 928 957 1056 1276 1392 1914 2552 2784 3828 5104 7656 10208 15312 30624 46082293 92164586 138246879 184329172 276493758 368658344 506905223 552987516 737316688 1013810446 1105975032 1336386497 1474633376 1520715669 2027620892 2211950064 2672772994 3041431338 4009159491 4055241784 4423900128 5345545988 6082862676 8018318982 8110483568 10691091976 12165725352 14700251467 16036637964 16220967136 21382183952 24331450704 29400502934 32073275928 42764367904 44100754401 48662901408 58801005868 64146551856 88201508802 117602011736 128293103712 176403017604 235204023472 352806035208 470408046944 705612070416 1411224140832