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445034274840 = 23335641642853
BaseRepresentation
bin1100111100111100001…
…11000010000000011000
31120112201012111120022000
412132132013002000120
524242412233243330
6540240153001000
744103235630641
oct6363607020030
91515635446260
10445034274840
11161813278661
12723010b3160
1332c7469014c
141777b1d46c8
15b89a357560
hex679e1c2018

445034274840 has 128 divisors (see below), whose sum is σ = 1485764164800. Its totient is φ = 118490480640.

The previous prime is 445034274827. The next prime is 445034274847. The reversal of 445034274840 is 48472430544.

445034274840 is a `hidden beast` number, since 44 + 503 + 4 + 27 + 4 + 84 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (445034274847) 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, 370854 + ... + 1013706.

Almost surely, 2445034274840 is an apocalyptic number.

445034274840 is a gapful number since it is divisible by the number (40) 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 445034274840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (742882082400).

445034274840 is an abundant number, since it is smaller than the sum of its proper divisors (1040729889960).

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

445034274840 is a wasteful number, since it uses less digits than its factorization.

445034274840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 643514 (or 643504 counting only the distinct ones).

The product of its (nonzero) digits is 1720320, while the sum is 45.

The spelling of 445034274840 in words is "four hundred forty-five billion, thirty-four million, two hundred seventy-four thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 90 108 120 135 180 216 270 360 540 641 1080 1282 1923 2564 3205 3846 5128 5769 6410 7692 9615 11538 12820 15384 17307 19230 23076 25640 28845 34614 38460 46152 57690 69228 76920 86535 115380 138456 173070 230760 346140 642853 692280 1285706 1928559 2571412 3214265 3857118 5142824 5785677 6428530 7714236 9642795 11571354 12857060 15428472 17357031 19285590 23142708 25714120 28928385 34714062 38571180 46285416 57856770 69428124 77142360 86785155 115713540 138856248 173570310 231427080 347140620 412068773 694281240 824137546 1236206319 1648275092 2060343865 2472412638 3296550184 3708618957 4120687730 4944825276 6181031595 7417237914 8241375460 9889650552 11125856871 12362063190 14834475828 16482750920 18543094785 22251713742 24724126380 29668951656 37086189570 44503427484 49448252760 55629284355 74172379140 89006854968 111258568710 148344758280 222517137420 445034274840