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1434772771680 = 253518671601023
BaseRepresentation
bin10100111000001111000…
…111110001001101100000
312002011101210002121202110
4110320033013301031200
5142001403312143210
63015043035515320
7205442002223103
oct24701707611540
95064353077673
101434772771680
11503535909326
121b209a5b8b40
13a53b5a2c011
144d62c88673a
15274c5ca8420
hex14e0f1f1360

1434772771680 has 96 divisors (see below), whose sum is σ = 4521957801984. Its totient is φ = 382400902656.

The previous prime is 1434772771667. The next prime is 1434772771687. The reversal of 1434772771680 is 861772774341.

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 1434772771680.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1434772771687) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 95649 + ... + 1696671.

It is an arithmetic number, because the mean of its divisors is an integer number (47103727104).

Almost surely, 21434772771680 is an apocalyptic number.

1434772771680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1434772771680 is an abundant number, since it is smaller than the sum of its proper divisors (3087185030304).

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

1434772771680 is a wasteful number, since it uses less digits than its factorization.

1434772771680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1602908 (or 1602900 counting only the distinct ones).

The product of its (nonzero) digits is 11063808, while the sum is 57.

The spelling of 1434772771680 in words is "one trillion, four hundred thirty-four billion, seven hundred seventy-two million, seven hundred seventy-one thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 1867 3734 5601 7468 9335 11202 14936 18670 22404 28005 29872 37340 44808 56010 59744 74680 89616 112020 149360 179232 224040 298720 448080 896160 1601023 3202046 4803069 6404092 8005115 9606138 12808184 16010230 19212276 24015345 25616368 32020460 38424552 48030690 51232736 64040920 76849104 96061380 128081840 153698208 192122760 256163680 384245520 768491040 2989109941 5978219882 8967329823 11956439764 14945549705 17934659646 23912879528 29891099410 35869319292 44836649115 47825759056 59782198820 71738638584 89673298230 95651518112 119564397640 143477277168 179346596460 239128795280 286954554336 358693192920 478257590560 717386385840 1434772771680