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2997143040 = 29352913457
BaseRepresentation
bin1011001010100100…
…1100011000000000
321201212122122022210
42302221030120000
522114232034130
61213223102120
7134162203233
oct26251143000
97655578283
102997143040
1112a8899a21
126b78a1940
13389c24028
142060a141a
151281cc5b0
hexb2a4c600

2997143040 has 160 divisors (see below), whose sum is σ = 9912624480. Its totient is φ = 771620864.

The previous prime is 2997143033. The next prime is 2997143053. The reversal of 2997143040 is 403417992.

It is a tau number, because it is divible by the number of its divisors (160).

It is a self number, because there is not a number n which added to its sum of digits gives 2997143040.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 215992 + ... + 229448.

It is an arithmetic number, because the mean of its divisors is an integer number (61953903).

Almost surely, 22997143040 is an apocalyptic number.

2997143040 is a gapful number since it is divisible by the number (20) 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 2997143040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4956312240).

2997143040 is an abundant number, since it is smaller than the sum of its proper divisors (6915481440).

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

2997143040 is a wasteful number, since it uses less digits than its factorization.

2997143040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13512 (or 13496 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 39.

The square root of 2997143040 is about 54746.1691810486. The cubic root of 2997143040 is about 1441.7915971940.

The spelling of 2997143040 in words is "two billion, nine hundred ninety-seven million, one hundred forty-three thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 29 30 32 40 48 58 60 64 80 87 96 116 120 128 145 160 174 192 232 240 256 290 320 348 384 435 464 480 512 580 640 696 768 870 928 960 1160 1280 1392 1536 1740 1856 1920 2320 2560 2784 3480 3712 3840 4640 5568 6960 7424 7680 9280 11136 13457 13920 14848 18560 22272 26914 27840 37120 40371 44544 53828 55680 67285 74240 80742 107656 111360 134570 161484 201855 215312 222720 269140 322968 390253 403710 430624 538280 645936 780506 807420 861248 1076560 1170759 1291872 1561012 1614840 1722496 1951265 2153120 2341518 2583744 3122024 3229680 3444992 3902530 4306240 4683036 5167488 5853795 6244048 6459360 6889984 7805060 8612480 9366072 10334976 11707590 12488096 12918720 15610120 17224960 18732144 20669952 23415180 24976192 25837440 31220240 34449920 37464288 46830360 49952384 51674880 62440480 74928576 93660720 99904768 103349760 124880960 149857152 187321440 199809536 249761920 299714304 374642880 499523840 599428608 749285760 999047680 1498571520 2997143040