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140033414416 = 24721099831667
BaseRepresentation
bin1000001001101010100…
…1000101010100010000
3111101110011120111201011
42002122221011110100
54243242023230131
6144155214020304
713055105245300
oct2023251052420
9441404514634
10140033414416
115442a236965
1223180aa7694
131028879113c
146ac5c49600
153998b220b1
hex209aa45510

140033414416 has 120 divisors (see below), whose sum is σ = 319021813440. Its totient is φ = 59367603456.

The previous prime is 140033414401. The next prime is 140033414431. The reversal of 140033414416 is 614414330041.

It is an interprime number because it is at equal distance from previous prime (140033414401) and next prime (140033414431).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 84002415 + ... + 84004081.

It is an arithmetic number, because the mean of its divisors is an integer number (2658515112).

Almost surely, 2140033414416 is an apocalyptic number.

140033414416 is a gapful number since it is divisible by the number (16) 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 140033414416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159510906720).

140033414416 is an abundant number, since it is smaller than the sum of its proper divisors (178988399024).

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

140033414416 is a wasteful number, since it uses less digits than its factorization.

140033414416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2781 (or 2768 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 31.

Adding to 140033414416 its reverse (614414330041), we get a palindrome (754447744457).

The spelling of 140033414416 in words is "one hundred forty billion, thirty-three million, four hundred fourteen thousand, four hundred sixteen".

Divisors: 1 2 4 7 8 14 16 28 49 56 98 109 112 196 218 392 436 763 784 872 983 1526 1667 1744 1966 3052 3334 3932 5341 6104 6668 6881 7864 10682 11669 12208 13336 13762 15728 21364 23338 26672 27524 42728 46676 48167 55048 81683 85456 93352 96334 107147 110096 163366 181703 186704 192668 214294 326732 363406 385336 428588 653464 726812 750029 770672 857176 1271921 1306928 1453624 1500058 1638661 1714352 2543842 2907248 3000116 3277322 5087684 5250203 6000232 6554644 8903447 10175368 10500406 11470627 12000464 13109288 17806894 20350736 21000812 22941254 26218576 35613788 42001624 45882508 71227576 80294389 84003248 91765016 142455152 160588778 178614049 183530032 321177556 357228098 642355112 714456196 1250298343 1284710224 1428912392 2500596686 2857824784 5001193372 8752088401 10002386744 17504176802 20004773488 35008353604 70016707208 140033414416