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1445310960448 = 26233147216709
BaseRepresentation
bin10101000010000011001…
…111110001001101000000
312010011121012120002002011
4111002003033301031000
5142134444101213243
63023544445502304
7206264103314365
oct25020317611500
95104535502064
101445310960448
11507a533a3543
121b413b871994
13a63a5082884
144dd4c2a246c
15278e102489d
hex150833f1340

1445310960448 has 112 divisors (see below), whose sum is σ = 3090391096320. Its totient is φ = 668696371200.

The previous prime is 1445310960419. The next prime is 1445310960451. The reversal of 1445310960448 is 8440690135441.

It is a super-2 number, since 2×14453109604482 (a number of 25 digits) contains 22 as substring.

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, 215425318 + ... + 215432026.

Almost surely, 21445310960448 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 1445310960448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1545195548160).

1445310960448 is an abundant number, since it is smaller than the sum of its proper divisors (1645080135872).

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

1445310960448 is a wasteful number, since it uses less digits than its factorization.

1445310960448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11496 (or 11486 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 49.

The spelling of 1445310960448 in words is "one trillion, four hundred forty-five billion, three hundred ten million, nine hundred sixty thousand, four hundred forty-eight".

Divisors: 1 2 4 8 16 23 31 32 46 62 64 92 124 184 248 368 496 713 736 992 1426 1472 1984 2852 4721 5704 6709 9442 11408 13418 18884 22816 26836 37768 45632 53672 75536 107344 108583 146351 151072 154307 207979 214688 217166 292702 302144 308614 415958 429376 434332 585404 617228 831916 868664 1170808 1234456 1663832 1737328 2341616 2468912 3327664 3366073 3474656 4683232 4783517 4937824 6655328 6732146 6949312 9366464 9567034 9875648 13310656 13464292 19134068 26928584 31673189 38268136 53857168 63346378 76536272 107714336 126692756 153072544 215428672 253385512 306145088 506771024 728483347 981868859 1013542048 1456966694 1963737718 2027084096 2913933388 3927475436 5827866776 7854950872 11655733552 15709901744 22582983757 23311467104 31419803488 45165967514 46622934208 62839606976 90331935028 180663870056 361327740112 722655480224 1445310960448