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1412314121140 = 2251347222311027
BaseRepresentation
bin10100100011010100011…
…110110100001110110100
312000000102121011222000121
4110203110132310032310
5141114404403334030
63000450321021324
7204015313645606
oct24432436641664
95000377158017
101412314121140
114a4a6055880a
121a9871184844
13a3246b71aa0
144c4dbc35176
1526b0e27d47a
hex148d47b43b4

1412314121140 has 144 divisors (see below), whose sum is σ = 3278337495552. Its totient is φ = 508039974144.

The previous prime is 1412314121087. The next prime is 1412314121149. The reversal of 1412314121140 is 411214132141.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1412314121149) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 128072307 + ... + 128083333.

It is an arithmetic number, because the mean of its divisors is an integer number (22766232608).

Almost surely, 21412314121140 is an apocalyptic number.

1412314121140 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 1412314121140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1639168747776).

1412314121140 is an abundant number, since it is smaller than the sum of its proper divisors (1866023374412).

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

1412314121140 is a wasteful number, since it uses less digits than its factorization.

1412314121140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11366 (or 11317 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 25.

Adding to 1412314121140 its reverse (411214132141), we get a palindrome (1823528253281).

The spelling of 1412314121140 in words is "one trillion, four hundred twelve billion, three hundred fourteen million, one hundred twenty-one thousand, one hundred forty".

Divisors: 1 2 4 5 10 13 20 26 47 52 65 94 130 188 223 235 260 446 470 611 892 940 1115 1222 2209 2230 2444 2899 3055 4418 4460 5798 6110 8836 10481 11027 11045 11596 12220 14495 20962 22054 22090 28717 28990 41924 44108 44180 52405 55135 57434 57980 104810 110270 114868 136253 143351 143585 209620 220540 272506 286702 287170 492607 518269 545012 573404 574340 681265 716755 985214 1036538 1362530 1433510 1970428 2073076 2459021 2463035 2591345 2725060 2867020 4918042 4926070 5182690 6403891 6737497 9836084 9852140 10365380 12295105 12807782 13474994 24358643 24590210 25615564 26949988 31967273 32019455 33687485 48717286 49180420 63934546 64038910 67374970 97434572 115573987 121793215 127869092 128077820 134749940 159836365 231147974 243586430 316662359 319672730 462295948 487172860 577869935 633324718 639345460 1155739870 1266649436 1502461831 1583311795 2311479740 3004923662 3166623590 5431977389 6009847324 6333247180 7512309155 10863954778 15024618310 21727909556 27159886945 30049236620 54319773890 70615706057 108639547780 141231412114 282462824228 353078530285 706157060570 1412314121140