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3023870494040 = 235112732117239
BaseRepresentation
bin101100000000001100101…
…110100000010101011000
3101201002010201211000100222
4230000030232200111120
5344020341321302130
610233051423015212
7431316221052134
oct54001456402530
911632121730328
103023870494040
11a66464075200
1240a06813a508
1318c1c40545a6
14a64db2603c4
15539d01a2ce5
hex2c00cba0558

3023870494040 has 144 divisors (see below), whose sum is σ = 7582369208400. Its totient is φ = 1084517153280.

The previous prime is 3023870494037. The next prime is 3023870494067. The reversal of 3023870494040 is 404940783203.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a junction number, because it is equal to n+sod(n) for n = 3023870493982 and 3023870494000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 25733741 + ... + 25850979.

It is an arithmetic number, because the mean of its divisors is an integer number (52655341725).

Almost surely, 23023870494040 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 3023870494040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3791184604200).

3023870494040 is an abundant number, since it is smaller than the sum of its proper divisors (4558498714360).

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

3023870494040 is a wasteful number, since it uses less digits than its factorization.

3023870494040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117418 (or 117330 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 44.

The spelling of 3023870494040 in words is "three trillion, twenty-three billion, eight hundred seventy million, four hundred ninety-four thousand, forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 73 88 110 121 146 220 242 292 365 440 484 584 605 730 803 968 1210 1460 1606 2420 2920 3212 4015 4840 5329 6424 8030 8833 10658 16060 17666 21316 26645 32120 35332 42632 44165 53290 58619 70664 88330 106580 117238 117239 176660 213160 234476 234478 293095 353320 468952 468956 586190 586195 644809 937912 1172380 1172390 1289618 1289629 2344760 2344780 2579236 2579258 3224045 4689560 5158472 5158516 6448090 6448145 8558447 10317032 12896180 12896290 14185919 17116894 25792360 25792580 28371838 34233788 42792235 51585160 56743676 68467576 70929595 85584470 94142917 113487352 141859190 171168940 188285834 283718380 342337880 376571668 470714585 567436760 624766631 753143336 941429170 1035572087 1249533262 1882858340 2071144174 2499066524 3123833155 3765716680 4142288348 4998133048 5177860435 6247666310 6872432941 8284576696 10355720870 12495332620 13744865882 20711441740 24990665240 27489731764 34362164705 41422883480 54979463528 68724329410 75596762351 137448658820 151193524702 274897317640 302387049404 377983811755 604774098808 755967623510 1511935247020 3023870494040