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1014022312240 = 245711091632781
BaseRepresentation
bin11101100000110000111…
…00001001000100110000
310120221100221212200200211
432300120130021010300
5113103204202442430
62053500241153504
7133155263303560
oct16603034110460
93527327780624
101014022312240
113610541836a3
1214463602b894
13748113ba412
143711688ada0
151b59c80572a
hexec18709130

1014022312240 has 80 divisors (see below), whose sum is σ = 2696833373760. Its totient is φ = 347351086080.

The previous prime is 1014022312223. The next prime is 1014022312273. The reversal of 1014022312240 is 422132204101.

It is a tau number, because it is divible by the number of its divisors (80).

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, 195351 + ... + 1437430.

It is an arithmetic number, because the mean of its divisors is an integer number (33710417172).

Almost surely, 21014022312240 is an apocalyptic number.

1014022312240 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 1014022312240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1348416686880).

1014022312240 is an abundant number, since it is smaller than the sum of its proper divisors (1682811061520).

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

1014022312240 is a wasteful number, since it uses less digits than its factorization.

1014022312240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1633910 (or 1633904 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

Adding to 1014022312240 its reverse (422132204101), we get a palindrome (1436154516341).

The spelling of 1014022312240 in words is "one trillion, fourteen billion, twenty-two million, three hundred twelve thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 280 560 1109 2218 4436 5545 7763 8872 11090 15526 17744 22180 31052 38815 44360 62104 77630 88720 124208 155260 310520 621040 1632781 3265562 6531124 8163905 11429467 13062248 16327810 22858934 26124496 32655620 45717868 57147335 65311240 91435736 114294670 130622480 182871472 228589340 457178680 914357360 1810754129 3621508258 7243016516 9053770645 12675278903 14486033032 18107541290 25350557806 28972066064 36215082580 50701115612 63376394515 72430165160 101402231224 126752789030 144860330320 202804462448 253505578060 507011156120 1014022312240