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473128241144 = 2313192913959399
BaseRepresentation
bin1101110001010001010…
…01000000011111111000
31200020020010020220222112
412320220221000133320
530222431312204034
61001204020111452
746116362460146
oct6705051003770
91606203226875
10473128241144
1117271a615329
1277841835588
1335800bbb250
1418c84444596
15c4919807ce
hex6e28a407f8

473128241144 has 128 divisors (see below), whose sum is σ = 1047816000000. Its totient is φ = 198299985408.

The previous prime is 473128241143. The next prime is 473128241167. The reversal of 473128241144 is 441142821374.

It is a super-3 number, since 3×4731282411443 (a number of 36 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (473128241143) 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, 7935557 + ... + 7994955.

It is an arithmetic number, because the mean of its divisors is an integer number (8186062500).

Almost surely, 2473128241144 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 473128241144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (523908000000).

473128241144 is an abundant number, since it is smaller than the sum of its proper divisors (574687758856).

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

473128241144 is a wasteful number, since it uses less digits than its factorization.

473128241144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59605 (or 59601 counting only the distinct ones).

The product of its digits is 172032, while the sum is 41.

The spelling of 473128241144 in words is "four hundred seventy-three billion, one hundred twenty-eight million, two hundred forty-one thousand, one hundred forty-four".

Divisors: 1 2 4 8 13 19 26 29 38 52 58 76 104 116 139 152 232 247 278 377 494 551 556 754 988 1102 1112 1508 1807 1976 2204 2641 3016 3614 4031 4408 5282 7163 7228 8062 10564 14326 14456 16124 21128 28652 32248 34333 52403 57304 59399 68666 76589 104806 118798 137332 153178 209612 237596 274664 306356 419224 475192 612712 772187 995657 1128581 1544374 1722571 1991314 2257162 3088748 3445142 3982628 4514324 6177496 6890284 7965256 8256461 9028648 13780568 14671553 16512922 22393423 29343106 32728849 33025844 44786846 58686212 65457698 66051688 89573692 107333993 117372424 130915396 156872759 179147384 214667986 239437369 261830792 313745518 425475037 429335972 478874738 627491036 850950074 858671944 957749476 1254982072 1701900148 1915498952 2039345867 3112685797 3403800296 4078691734 4549310011 6225371594 8157383468 9098620022 12450743188 16314766936 18197240044 24901486376 36394480088 59141030143 118282060286 236564120572 473128241144