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1370145242352 = 243371518296163
BaseRepresentation
bin10011111100000011000…
…001010011110011110000
311211222120202222222011010
4103330003001103303300
5134422024140223402
62525234103350520
7200663322254205
oct23740301236360
94758522888133
101370145242352
114890912a6a67
121a1662a52440
139c2866662c3
144a45b5abcac
1525992175a6c
hex13f03053cf0

1370145242352 has 160 divisors (see below), whose sum is σ = 3664287930880. Its totient is φ = 440824550400.

The previous prime is 1370145242321. The next prime is 1370145242353. The reversal of 1370145242352 is 2532425410731.

It is a self number, because there is not a number n which added to its sum of digits gives 1370145242352.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1370145242353) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 222314823 + ... + 222320985.

It is an arithmetic number, because the mean of its divisors is an integer number (22901799568).

Almost surely, 21370145242352 is an apocalyptic number.

1370145242352 is a gapful number since it is divisible by the number (12) 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 1370145242352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1832143965440).

1370145242352 is an abundant number, since it is smaller than the sum of its proper divisors (2294142688528).

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

1370145242352 is a wasteful number, since it uses less digits than its factorization.

1370145242352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7191 (or 7185 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 39.

The spelling of 1370145242352 in words is "one trillion, three hundred seventy billion, one hundred forty-five million, two hundred forty-two thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 37 48 74 111 148 151 222 296 302 444 453 592 604 829 888 906 1208 1658 1776 1812 2416 2487 3316 3624 4974 5587 6163 6632 7248 9948 11174 12326 13264 16761 18489 19896 22348 24652 30673 33522 36978 39792 44696 49304 61346 67044 73956 89392 92019 98608 122692 125179 134088 147912 184038 228031 245384 250358 268176 295824 368076 375537 456062 490768 500716 684093 736152 751074 912124 930613 1001432 1368186 1472304 1502148 1824248 1861226 2002864 2736372 2791839 3004296 3648496 3722452 4631623 5109127 5472744 5583678 6008592 7444904 9263246 10218254 10945488 11167356 13894869 14889808 15327381 18526492 20436508 22334712 27789738 30654762 34432681 37052984 40873016 44669424 55579476 61309524 68865362 74105968 81746032 103298043 111158952 122619048 137730724 189037699 206596086 222317904 245238096 275461448 378075398 413192172 550922896 567113097 756150796 771478177 826384344 1134226194 1512301592 1542956354 1652768688 2268452388 2314434531 3024603184 3085912708 4536904776 4628869062 6171825416 9073809552 9257738124 12343650832 18515476248 28544692549 37030952496 57089385098 85634077647 114178770196 171268155294 228357540392 342536310588 456715080784 685072621176 1370145242352