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1121341416 = 233134721627
BaseRepresentation
bin100001011010110…
…0100111111101000
32220011000001020120
41002311210333220
54244030411131
6303134123240
736534146646
oct10265447750
92804001216
101121341416
11525a71448
12273650520
1314b413840
14a8cd6196
156869e496
hex42d64fe8

1121341416 has 96 divisors (see below), whose sum is σ = 3086492640. Its totient is φ = 337479552.

The previous prime is 1121341409. The next prime is 1121341439. The reversal of 1121341416 is 6141431211.

It is a happy number.

1121341416 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 688395 + ... + 690021.

It is an arithmetic number, because the mean of its divisors is an integer number (32150965).

Almost surely, 21121341416 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1121341416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1543246320).

1121341416 is an abundant number, since it is smaller than the sum of its proper divisors (1965151224).

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

1121341416 is a wasteful number, since it uses less digits than its factorization.

1121341416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1743 (or 1692 counting only the distinct ones).

The product of its digits is 576, while the sum is 24.

The square root of 1121341416 is about 33486.4362988957. The cubic root of 1121341416 is about 1038.9132558319.

Adding to 1121341416 its reverse (6141431211), we get a palindrome (7262772627).

The spelling of 1121341416 in words is "one billion, one hundred twenty-one million, three hundred forty-one thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 47 52 78 94 104 141 156 188 282 312 376 564 611 1128 1222 1627 1833 2209 2444 3254 3666 4418 4881 4888 6508 6627 7332 8836 9762 13016 13254 14664 17672 19524 21151 26508 28717 39048 42302 53016 57434 63453 76469 84604 86151 114868 126906 152938 169208 172302 229407 229736 253812 305876 344604 458814 507624 611752 689208 917628 994097 1835256 1988194 2982291 3594043 3976388 5964582 7188086 7952776 10782129 11929164 14376172 21564258 23858328 28752344 43128516 46722559 86257032 93445118 140167677 186890236 280335354 373780472 560670708 1121341416