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1450023455120 = 24517792170837
BaseRepresentation
bin10101000110011100001…
…000100000100110010000
312010121202121221121110212
4111012130020200212100
5142224122001030440
63030044230543252
7206521635002042
oct25063410404620
95117677847425
101450023455120
11509a51490539
121b5035b07b28
13a6976499866
14502780c3a92
1527ab9ad9465
hex1519c220990

1450023455120 has 120 divisors (see below), whose sum is σ = 3615394709304. Its totient is φ = 538978013184.

The previous prime is 1450023455117. The next prime is 1450023455123. The reversal of 1450023455120 is 215543200541.

It is an interprime number because it is at equal distance from previous prime (1450023455117) and next prime (1450023455123).

It can be written as a sum of positive squares in 4 ways, for example, as 373110845584 + 1076912609536 = 610828^2 + 1037744^2 .

It is not an unprimeable number, because it can be changed into a prime (1450023455123) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8402342 + ... + 8573178.

Almost surely, 21450023455120 is an apocalyptic number.

1450023455120 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 1450023455120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1807697354652).

1450023455120 is an abundant number, since it is smaller than the sum of its proper divisors (2165371254184).

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

1450023455120 is a wasteful number, since it uses less digits than its factorization.

1450023455120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171025 (or 170940 counting only the distinct ones).

The product of its (nonzero) digits is 24000, while the sum is 32.

Adding to 1450023455120 its reverse (215543200541), we get a palindrome (1665566655661).

The spelling of 1450023455120 in words is "one trillion, four hundred fifty billion, twenty-three million, four hundred fifty-five thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 17 20 34 40 68 79 80 85 136 158 170 272 316 340 395 632 680 790 1264 1343 1360 1580 2686 3160 5372 6241 6320 6715 10744 12482 13430 21488 24964 26860 31205 49928 53720 62410 99856 106097 107440 124820 170837 212194 249640 341674 424388 499280 530485 683348 848776 854185 1060970 1366696 1697552 1708370 2121940 2733392 2904229 3416740 4243880 5808458 6833480 8487760 11616916 13496123 13666960 14521145 23233832 26992246 29042290 46467664 53984492 58084580 67480615 107968984 116169160 134961230 215937968 229434091 232338320 269922460 458868182 539844920 917736364 1066193717 1079689840 1147170455 1835472728 2132387434 2294340910 3670945456 4264774868 4588681820 5330968585 8529549736 9177363640 10661937170 17059099472 18125293189 18354727280 21323874340 36250586378 42647748680 72501172756 85295497360 90626465945 145002345512 181252931890 290004691024 362505863780 725011727560 1450023455120