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301313291472 = 243319130728087
BaseRepresentation
bin1000110001001111010…
…10111111010011010000
31001210202001010010222000
410120213222333103100
514414042200311342
6350231005314000
730524552501424
oct4304752772320
91053661103860
10301313291472
11106871552656
124a491265900
132254bc3b65b
1410825722b84
157c87b2744c
hex4627abf4d0

301313291472 has 160 divisors (see below), whose sum is σ = 911129779200. Its totient is φ = 95075379072.

The previous prime is 301313291431. The next prime is 301313291473. The reversal of 301313291472 is 274192313103.

301313291472 is a `hidden beast` number, since 30 + 131 + 3 + 29 + 1 + 472 = 666.

301313291472 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (301313291473) 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, 10713813 + ... + 10741899.

It is an arithmetic number, because the mean of its divisors is an integer number (5694561120).

Almost surely, 2301313291472 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 301313291472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (455564889600).

301313291472 is an abundant number, since it is smaller than the sum of its proper divisors (609816487728).

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

301313291472 is a wasteful number, since it uses less digits than its factorization.

301313291472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29430 (or 29418 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The spelling of 301313291472 in words is "three hundred one billion, three hundred thirteen million, two hundred ninety-one thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 27 36 38 48 54 57 72 76 108 114 144 152 171 216 228 304 342 432 456 513 684 912 1026 1307 1368 2052 2614 2736 3921 4104 5228 7842 8208 10456 11763 15684 20912 23526 24833 28087 31368 35289 47052 49666 56174 62736 70578 74499 84261 94104 99332 112348 141156 148998 168522 188208 198664 223497 224696 252783 282312 297996 337044 397328 446994 449392 505566 533653 564624 595992 670491 674088 758349 893988 1011132 1067306 1191984 1340982 1348176 1516698 1600959 1787976 2022264 2134612 2681964 3033396 3201918 3575952 4044528 4269224 4802877 5363928 6066792 6403836 8538448 9605754 10727856 12133584 12807672 14408631 19211508 25615344 28817262 36709709 38423016 57634524 73419418 76846032 110129127 115269048 146838836 220258254 230538096 293677672 330387381 440516508 587355344 660774762 697484471 881033016 991162143 1321549524 1394968942 1762066032 1982324286 2092453413 2643099048 2789937884 3964648572 4184906826 5286198096 5579875768 6277360239 7929297144 8369813652 11159751536 12554720478 15858594288 16739627304 18832080717 25109440956 33479254608 37664161434 50218881912 75328322868 100437763824 150656645736 301313291472