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145217001216 = 2837191421689
BaseRepresentation
bin1000011100111110011…
…0111001011100000000
3111212211102102000000110
42013033212321130000
54334401023014331
6150413424151320
713330420100250
oct2071746713400
9455742360013
10145217001216
115664a2363a1
1224188a68540
131090367b371
147058459960
153b9dc3e946
hex21cf9b9700

145217001216 has 144 divisors (see below), whose sum is σ = 464949497600. Its totient is φ = 39306829824.

The previous prime is 145217001169. The next prime is 145217001217. The reversal of 145217001216 is 612100712541.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145217001217) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 608701 + ... + 812988.

Almost surely, 2145217001216 is an apocalyptic number.

145217001216 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

145217001216 is an abundant number, since it is smaller than the sum of its proper divisors (319732496384).

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

145217001216 is a wasteful number, since it uses less digits than its factorization.

145217001216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1421734 (or 1421720 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 30.

Adding to 145217001216 its reverse (612100712541), we get a palindrome (757317713757).

The spelling of 145217001216 in words is "one hundred forty-five billion, two hundred seventeen million, one thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 7 8 12 14 16 19 21 24 28 32 38 42 48 56 57 64 76 84 96 112 114 128 133 152 168 192 224 228 256 266 304 336 384 399 448 456 532 608 672 768 798 896 912 1064 1216 1344 1596 1792 1824 2128 2432 2688 3192 3648 4256 4864 5376 6384 7296 8512 12768 14592 17024 25536 34048 51072 102144 1421689 2843378 4265067 5686756 8530134 9951823 11373512 17060268 19903646 22747024 27012091 29855469 34120536 39807292 45494048 54024182 59710938 68241072 79614584 81036273 90988096 108048364 119421876 136482144 159229168 162072546 181976192 189084637 216096728 238843752 272964288 318458336 324145092 363952384 378169274 432193456 477687504 545928576 567253911 636916672 648290184 756338548 864386912 955375008 1091857152 1134507822 1273833344 1296580368 1512677096 1728773824 1910750016 2269015644 2547666688 2593160736 3025354192 3457547648 3821500032 4538031288 5186321472 6050708384 6915095296 7643000064 9076062576 10372642944 12101416768 18152125152 20745285888 24202833536 36304250304 48405667072 72608500608 145217001216