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1144302121312 = 257231601138731
BaseRepresentation
bin10000101001101101101…
…110001011000101100000
311001101122101022201012121
4100221231232023011200
5122222012320340222
62233403553434024
7145446605355040
oct20515556130540
94041571281177
101144302121312
11401328796499
1216593456b914
1383ba424073c
143d555191720
151eb74eda5c7
hex10a6db8b160

1144302121312 has 96 divisors (see below), whose sum is σ = 2688319839744. Its totient is φ = 468796416000.

The previous prime is 1144302121271. The next prime is 1144302121327. The reversal of 1144302121312 is 2131212034411.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8178987 + ... + 8317717.

It is an arithmetic number, because the mean of its divisors is an integer number (28003331664).

Almost surely, 21144302121312 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 1144302121312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1344159919872).

1144302121312 is an abundant number, since it is smaller than the sum of its proper divisors (1544017718432).

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

1144302121312 is a wasteful number, since it uses less digits than its factorization.

1144302121312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140372 (or 140364 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 25.

Adding to 1144302121312 its reverse (2131212034411), we get a palindrome (3275514155723).

The spelling of 1144302121312 in words is "one trillion, one hundred forty-four billion, three hundred two million, one hundred twenty-one thousand, three hundred twelve".

Divisors: 1 2 4 7 8 14 16 23 28 32 46 56 92 112 161 184 224 322 368 644 736 1288 1601 2576 3202 5152 6404 11207 12808 22414 25616 36823 44828 51232 73646 89656 138731 147292 179312 257761 277462 294584 358624 515522 554924 589168 971117 1031044 1109848 1178336 1942234 2062088 2219696 3190813 3884468 4124176 4439392 6381626 7768936 8248352 12763252 15537872 22335691 25526504 31075744 44671382 51053008 89342764 102106016 178685528 222108331 357371056 444216662 714742112 888433324 1554758317 1776866648 3109516634 3553733296 5108491613 6219033268 7107466592 10216983226 12438066536 20433966452 24876133072 35759441291 40867932904 49752266144 71518882582 81735865808 143037765164 163471731616 286075530328 572151060656 1144302121312