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1944293451024 = 2434310719146093
BaseRepresentation
bin11100010010110000111…
…010111010010100010000
320212212120011010221210110
4130102300322322110100
5223323403110413044
64045110204201320
7260320255436211
oct34226072722420
96785504127713
101944293451024
1168a62aa69061
12274997b39240
13111466472862
146a1662db408
15358976686b9
hex1c4b0eba510

1944293451024 has 160 divisors (see below), whose sum is σ = 5214873083904. Its totient is φ = 623812815360.

The previous prime is 1944293450969. The next prime is 1944293451029. The reversal of 1944293451024 is 4201543924491.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (1944293451029) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 42158922 + ... + 42205014.

Almost surely, 21944293451024 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 1944293451024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2607436541952).

1944293451024 is an abundant number, since it is smaller than the sum of its proper divisors (3270579632880).

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

1944293451024 is a wasteful number, since it uses less digits than its factorization.

1944293451024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46445 (or 46439 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 48.

The spelling of 1944293451024 in words is "one trillion, nine hundred forty-four billion, two hundred ninety-three million, four hundred fifty-one thousand, twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 43 48 86 107 129 172 191 214 258 321 344 382 428 516 573 642 688 764 856 1032 1146 1284 1528 1712 2064 2292 2568 3056 4584 4601 5136 8213 9168 9202 13803 16426 18404 20437 24639 27606 32852 36808 40874 46093 49278 55212 61311 65704 73616 81748 92186 98556 110424 122622 131408 138279 163496 184372 197112 220848 245244 276558 326992 368744 394224 490488 553116 737488 878791 980976 1106232 1757582 1981999 2212464 2636373 3515164 3963998 4931951 5272746 5945997 7030328 7927996 8803763 9863902 10545492 11891994 14060656 14795853 15855992 17607526 19727804 21090984 23783988 26411289 29591706 31711984 35215052 39455608 42181968 47567976 52822578 59183412 70430104 78911216 95135952 105645156 118366824 140860208 211290312 212073893 236733648 378561809 422580624 424147786 636221679 757123618 848295572 942002641 1135685427 1272443358 1514247236 1696591144 1884005282 2271370854 2544886716 2826007923 3028494472 3393182288 3768010564 4542741708 5089773432 5652015846 6056988944 7536021128 9085483416 10179546864 11304031692 15072042256 18170966832 22608063384 40506113563 45216126768 81012227126 121518340689 162024454252 243036681378 324048908504 486073362756 648097817008 972146725512 1944293451024