Search a number
-
+
314472099216 = 243114771178481
BaseRepresentation
bin1001001001101111111…
…11110110110110010000
31010001201002201211200210
410210313333312312100
520123014324133331
6400244432244120
731501624511412
oct4446777666620
91101632654623
10314472099216
11111404335680
1250b440a0640
13238681a4222
14113131ca9b2
1582a7e98446
hex4937ff6d90

314472099216 has 160 divisors (see below), whose sum is σ = 917848682496. Its totient is φ = 91952896000.

The previous prime is 314472099187. The next prime is 314472099229. The reversal of 314472099216 is 612990274413.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1672696 + ... + 1851176.

Almost surely, 2314472099216 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 314472099216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (458924341248).

314472099216 is an abundant number, since it is smaller than the sum of its proper divisors (603376583280).

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

314472099216 is a wasteful number, since it uses less digits than its factorization.

314472099216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178621 (or 178615 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 48.

The spelling of 314472099216 in words is "three hundred fourteen billion, four hundred seventy-two million, ninety-nine thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 47 48 66 71 88 94 132 141 142 176 188 213 264 282 284 376 426 517 528 564 568 752 781 852 1034 1128 1136 1551 1562 1704 2068 2256 2343 3102 3124 3337 3408 4136 4686 6204 6248 6674 8272 9372 10011 12408 12496 13348 18744 20022 24816 26696 36707 37488 40044 53392 73414 80088 110121 146828 160176 178481 220242 293656 356962 440484 535443 587312 713924 880968 1070886 1427848 1761936 1963291 2141772 2855696 3926582 4283544 5889873 7853164 8388607 8567088 11779746 12672151 15706328 16777214 23559492 25165821 25344302 31412656 33554428 38016453 47118984 50331642 50688604 67108856 76032906 92274677 94237968 100663284 101377208 134217712 139393661 152065812 184549354 201326568 202754416 276824031 278787322 304131624 369098708 402653136 418180983 553648062 557574644 595591097 608263248 738197416 836361966 1107296124 1115149288 1191182194 1476394832 1672723932 1786773291 2214592248 2230298576 2382364388 3345447864 3573546582 4429184496 4764728776 6551502067 6690895728 7147093164 9529457552 13103004134 14294186328 19654506201 26206008268 28588372656 39309012402 52412016536 78618024804 104824033072 157236049608 314472099216