Search a number
-
+
1020441422616 = 2337111513656867
BaseRepresentation
bin11101101100101110000…
…11000110101100011000
310121112221022120021201120
432312113003012230120
5113204331001010431
62100441225045240
7133503326656230
oct16662703065430
93545838507646
101020441422616
113638486422a0
12145927926820
13752c5258c95
14375651d6cc0
151b826129196
hexed970c6b18

1020441422616 has 128 divisors (see below), whose sum is σ = 3201661071360. Its totient is φ = 263294352000.

The previous prime is 1020441422519. The next prime is 1020441422617. The reversal of 1020441422616 is 6162241440201.

1020441422616 is digitally balanced in base 2 and base 4, because in such bases 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 (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1020441422617) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1549386 + ... + 2107481.

It is an arithmetic number, because the mean of its divisors is an integer number (25012977120).

Almost surely, 21020441422616 is an apocalyptic number.

It is an amenable number.

1020441422616 is an abundant number, since it is smaller than the sum of its proper divisors (2181219648744).

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

1020441422616 is a wasteful number, since it uses less digits than its factorization.

1020441422616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3657045 (or 3657041 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 33.

Adding to 1020441422616 its reverse (6162241440201), we get a palindrome (7182682862817).

The spelling of 1020441422616 in words is "one trillion, twenty billion, four hundred forty-one million, four hundred twenty-two thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 7 8 11 12 14 21 22 24 28 33 42 44 56 66 77 84 88 132 151 154 168 231 264 302 308 453 462 604 616 906 924 1057 1208 1661 1812 1848 2114 3171 3322 3624 4228 4983 6342 6644 8456 9966 11627 12684 13288 19932 23254 25368 34881 39864 46508 69762 93016 139524 279048 3656867 7313734 10970601 14627468 21941202 25598069 29254936 40225537 43882404 51196138 76794207 80451074 87764808 102392276 120676611 153588414 160902148 204784552 241353222 281578759 307176828 321804296 482706444 552186917 563157518 614353656 844736277 965412888 1104373834 1126315036 1656560751 1689472554 2208747668 2252630072 3313121502 3378945108 3865308419 4417495336 6074056087 6626243004 6757890216 7730616838 11595925257 12148112174 13252486008 15461233676 18222168261 23191850514 24296224348 30922467352 36444336522 42518392609 46383701028 48592448696 72888673044 85036785218 92767402056 127555177827 145777346088 170073570436 255110355654 340147140872 510220711308 1020441422616