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197304813440 = 2757137321469
BaseRepresentation
bin1011011111000001001…
…0001000011110000000
3200212021111211000120222
42313300102020132000
511213040013012230
6230350210522212
720153253146150
oct2676022103600
9625244730528
10197304813440
1176749472699
12322a4b96368
13157b4b2c627
14979a182760
1551eba406e5
hex2df0488780

197304813440 has 128 divisors (see below), whose sum is σ = 543001406400. Its totient is φ = 67153379328.

The previous prime is 197304813413. The next prime is 197304813457. The reversal of 197304813440 is 44318403791.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 197304813391 and 197304813400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 453026 + ... + 774494.

Almost surely, 2197304813440 is an apocalyptic number.

197304813440 is a gapful number since it is divisible by the number (10) 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 197304813440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271500703200).

197304813440 is an abundant number, since it is smaller than the sum of its proper divisors (345696592960).

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

197304813440 is a wasteful number, since it uses less digits than its factorization.

197304813440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 321632 (or 321620 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 44.

The spelling of 197304813440 in words is "one hundred ninety-seven billion, three hundred four million, eight hundred thirteen thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 128 137 140 160 224 274 280 320 448 548 560 640 685 896 959 1096 1120 1370 1918 2192 2240 2740 3836 4384 4480 4795 5480 7672 8768 9590 10960 15344 17536 19180 21920 30688 38360 43840 61376 76720 87680 122752 153440 306880 321469 613760 642938 1285876 1607345 2250283 2571752 3214690 4500566 5143504 6429380 9001132 10287008 11251415 12858760 18002264 20574016 22502830 25717520 36004528 41148032 44041253 45005660 51435040 72009056 88082506 90011320 102870080 144018112 176165012 180022640 205740160 220206265 288036224 308288771 352330024 360045280 440412530 616577542 704660048 720090560 880825060 1233155084 1409320096 1440181120 1541443855 1761650120 2466310168 2818640192 3082887710 3523300240 4932620336 5637280384 6165775420 7046600480 9865240672 12331550840 14093200960 19730481344 24663101680 28186401920 39460962688 49326203360 98652406720 197304813440