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2374463227444 = 2271123472970879
BaseRepresentation
bin100010100011011001000…
…010011000011000110100
322101222220102110202121221
4202203121002120120310
5302400400041234234
65014451403320124
7333356261264110
oct42433102303064
98358812422557
102374463227444
11836005653a80
1232422ab20044
13142bac3aa5b9
1482cd32a0740
1541b72a24eb4
hex228d9098634

2374463227444 has 96 divisors (see below), whose sum is σ = 5407111987200. Its totient is φ = 884693525760.

The previous prime is 2374463227399. The next prime is 2374463227459. The reversal of 2374463227444 is 4447223644732.

It is a super-4 number, since 4×23744632274444 (a number of 51 digits) contains 4444 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2374463227391 and 2374463227400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 33464797 + ... + 33535675.

It is an arithmetic number, because the mean of its divisors is an integer number (56324083200).

Almost surely, 22374463227444 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 2374463227444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2703555993600).

2374463227444 is an abundant number, since it is smaller than the sum of its proper divisors (3032648759756).

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

2374463227444 is a wasteful number, since it uses less digits than its factorization.

2374463227444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75653 (or 75651 counting only the distinct ones).

The product of its digits is 21676032, while the sum is 52.

The spelling of 2374463227444 in words is "two trillion, three hundred seventy-four billion, four hundred sixty-three million, two hundred twenty-seven thousand, four hundred forty-four".

Divisors: 1 2 4 7 11 14 22 23 28 44 46 77 92 154 161 253 308 322 506 644 1012 1771 3542 4729 7084 9458 18916 33103 52019 66206 70879 104038 108767 132412 141758 208076 217534 283516 364133 435068 496153 728266 761369 779669 992306 1196437 1456532 1522738 1559338 1630217 1984612 2392874 3045476 3118676 3260434 4785748 5457683 6520868 8375059 10915366 11411519 16750118 17932387 21830732 22823038 33500236 35864774 45646076 71729548 125526709 251053418 335186791 502106836 670373582 1340747164 2346307537 3687054701 4692615074 7374109402 7709296193 9385230148 14748218804 15418592386 25809382907 30837184772 51618765814 53965073351 84802258123 103237531628 107930146702 169604516246 215860293404 339209032492 593615806861 1187231613722 2374463227444